Roger Plymen, MA, DPhil (Oxon)

Search results

• 2023

  Centralisers, complex reflection groups and actions in the Weyl group E_6

  Plymen, R., Niblo, G. & Wright, N., 25 Sept 2023, In: Journal of Homotopy and Related Structures. 18, p. 219-264

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Reflection Group 100%
  • K-Theory 100%
  • Homotopy Equivalence 100%
  • Adjoints 100%
  • C-Algebras 50%
  6 Downloads (Pure)
• 2021

  Comparison of the depths on both sides of the local Langlands correspondence for Weil-restricted groups

  Plymen, R. & Aubert, A.-M., 28 Dec 2021, In: Journal of Number Theory. 233, p. 24-58 35 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Reductive Group 100%
  • Scalar 50%
  • Archimedean 50%
  • Local Field 50%
  • Finite Extension 50%
  28 Downloads (Pure)
• 2019

  Smooth duals of inner forms of GL_n and SL_n

  Plymen, R., Baum, P., Aubert, A.-M. & Solleveld, M., 1 May 2019, In: Documenta Mathematica. 24, p. 373-420

  Research output: Contribution to journal › Article › peer-review

  Open Access

• Stratified Langlands duality in the A_n tower

  Plymen, R., Niblo, G. & Wright, N., 2019, In: Journal of Noncommutative Geometry. 13, p. 193-225

  Research output: Contribution to journal › Article › peer-review

  Open Access
• 2018

  Poincare' duality and Langlands duality for extended affine Weyl groups

  Plymen, R., Niblo, G. & Wright, N., 2018, In: Annals of K-theory. 3, 3, p. 491-522

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Affine Weyl Group 100%
  • C-Algebras 50%
  • Equivariant 50%
  • Finite Group 50%
  • K-Theory 50%
• 2017

  Conjectures about p-adic groups and their non commutative geometry

  Plymen, R., Aubert, A.-M., Baum, P. & Solleveld, M., 1 Jan 2017, In: Contemporary Mathematics. 691, p. 15-51

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Representation Theory 100%
  • Geometric Structure 100%
  • Reductive 100%
  • Irreducible Representation 100%
  • Noncommutative Geometry 100%

• Functoriality and K-theory for GL_n(R)

  Plymen, R. & Mendes, S., 2017, In: Munster Journal of Mathematics. 10, p. 39-58

  Research output: Contribution to journal › Article › peer-review

• Hecke algebras for inner forms of p-adic special linear groups

  Plymen, R., Aubert, A.-M., Baum, P. & Solleveld, M., 2017, In: Journal de l'Institut Mathématiques Jussieu. 16, 2, p. 351-419

  Research output: Contribution to journal › Article › peer-review

• On L-packets and depth for SL_2(K) and its inner form

  Plymen, R., Aubert, A.-M., Mendes, S. & Solleveld, M., 2017, In: International Journal of Number Theory. 13, p. 1-19

  Research output: Contribution to journal › Article › peer-review

• The principal series of p -adic groups with disconnected center

  Aubert, A. M., Baum, P., Plymen, R. & Solleveld, M., 2017, In: Proceedings of the London Mathematical Society. 114, 5, p. 798-854 57 p.

  Research output: Contribution to journal › Article › peer-review

  • Principal Series 100%
  • Reductive Group 50%
  • Finite Group 25%
  • Archimedean 25%
  • Series Representation 25%
• 2016

  Geometric structure for the principal series of a reductive p-adic group with connected centre

  Plymen, R., Aubert, A.-M., Baum, P. & Solleveld, M., 2016, In: Journal of Noncommutative Geometry. 10, 2, p. 663-680

  Research output: Contribution to journal › Article › peer-review

• The local Langlands correspondence for inner forms of SL_n

  Plymen, R., Aubert, A.-M., Baum, P. & Solleveld, M., 5 Dec 2016, In: Research in the Mathematical Sciences . 3:32, p. 1 34 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Archimedean 100%
  • Conjugacy Class 50%
  • Analogous Result 50%
  • Irreducible Representation 50%
  • Local Field 50%

• The local spectrum of the Dirac operator for the universal cover of SL_2(R)

  Plymen, R., Brodzki, J., Niblo, G. & Wright, N., 2016, In: Journal of Functional Analysis. 270, 3, p. 957-975

  Research output: Contribution to journal › Article › peer-review
• 2014

  Geometric structure in smooth dual and local Langlands conjecture

  Aubert, A.-M., Baum, P., Plymen, R. & Solleveld, M., Sept 2014, In: Japanese Journal of Mathematics. 9, 2, p. 99-136

  Research output: Contribution to journal › Article › peer-review

  File

  • Geometric Structure 100%
  • Local Langlands' Conjecture 100%
  • Reductive 66%
  • Vector Space 33%
  • Equivalence Class 33%
  43 Downloads (Pure)
• 2013

  Depth and the local Langlands correspondence

  Aubert, A.-M., Baum, P., Plymen, R. & Solleveld, M., Nov 2013, In: Progress in Mathematics. 319, p. 17-41 25 p.

  Research output: Contribution to journal › Article › peer-review

  File
  58 Downloads (Pure)

• K-theory and the connection index

  Kamran, T. & Plymen, R., Feb 2013, In: Bulletin of the London Mathematical Society. 45, 1, p. 111-119 8 p.

  Research output: Contribution to journal › Article › peer-review

  • K-Theory 100%
  • C-Algebras 33%
  • Special Linear Group 33%
  • Connes Conjecture 33%
  • Principal Series 33%

• L-packets and formal degrees for SL_2(K) with K a local function field of characteristic 2

  Mendes, S. & Plymen, R., Feb 2013, In: Unknown Journal.

  Research output: Contribution to journal › Article › peer-review

  File
  20 Downloads (Pure)

• On the local Langlands correspondence for non-tempered representations

  Aubert, A.-M., Baum, P., Plymen, R. & Solleveld, M., Oct 2013, In: Munster Journal of Mathematics.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File
  24 Downloads (Pure)

• The local Langlands correspondence for inner forms of SLn

  Aubert, A.-M., Baum, P., Plymen, R. & Solleveld, M., May 2013, In: MIMS EPrints. 2013.38.

  Research output: Contribution to journal › Article › peer-review
• 2012

  Geometric structure in the tempered dual of SL(4)

  Chao, K. F. & Plymen, R., Jun 2012, In: Bulletin of the London Mathematical Society. 44, 3, p. 460-468 8 p.

  Research output: Contribution to journal › Article › peer-review

  • Geometric Structure 100%
  • Tetrahedron 50%
• 2011

  Geometric structure in the principal series of the {$p$}-adic group {${\rm G}_2$}

  Aubert, A.-M., Baum, P. & Plymen, R., 2011, In: Representation Theory . 15, p. 126-169 44 p.

  Research output: Contribution to journal › Article › peer-review
• 2010

  A new bound for the smallest x with π(x) > li(x)

  Chao, K. F. & Plymen, R., May 2010, In: International Journal of Number Theory. 6, 3, p. 681-690 9 p.

  Research output: Contribution to journal › Article › peer-review

  • Leading Term 100%

• R-groups and geometric structure in the representation theory of SL(N)

  Jawdat, J. & Plymen, R., 2010, In: Journal of Noncommutative Geometry. 4, 2, p. 265-279 14 p.

  Research output: Contribution to journal › Article › peer-review

  • Representation Theory 100%
  • Geometric Structure 100%
  • Arithmetic 50%
  • K-Theory 50%
  • Local Field 50%
• 2007

  Base change and $K$-theory for $\rm GL(n)$

  Mendes, S. & Plymen, R., 2007, In: Journal of Noncommutative Geometry. 1, 3, p. 311-331

  Research output: Contribution to journal › Article › peer-review

• Geometric structure in the representation theory of p-adic groups

  Aubert, A. M., Baum, P. & Plymen, R., 15 Nov 2007, In: Académie des Sciences. Comptes Rendus. Mathématique. 345, 10, p. 573-578 5 p.

  Research output: Contribution to journal › Article › peer-review

  • Representation Theory 100%
  • Geometric Structure 100%
  • Reductive 50%
• 2006

  Cycles in the chamber homology of GL(3)

  Aubert, A. M., Hasan, S. & Plymen, R., Apr 2006, In: K-Theory. 37, 4, p. 341-377 36 p.

  Research output: Contribution to journal › Article › peer-review

  • Homology 100%
  • Homology Class 50%
  • Local Field 50%
• 2005

  Entire cyclic cohomology of Schatten ideals

  Plymen, R., Brodzki, J. & Flymen, R., 2005, In: Homology, Homotopy and Applications. 7, 3, p. 37-52 15 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Cohomologies 100%
  • Homology 50%
  36 Downloads (Pure)

• Plancherel measure for GL(n, F) and GL(m, D): Explicit formulas and Bernstein decomposition

  Aubert, A. M. & Plymen, R., May 2005, In: Journal of Number Theory. 112, 1, p. 26-66 40 p.

  Research output: Contribution to journal › Article › peer-review

  • Explicit Formula 100%
  • Local Field 50%
  • Residue Field 50%
  • Division Algebra 50%
  • Cardinality 50%
• 2004

  Formule de Plancherel explicite pour le groupe p-adique

  Translated title of the contribution: Explicit Plancherel formula for the p-adic group GL(n)Aubert, A. M. & Plymen, R., 1 Jun 2004, In: Académie des Sciences. Comptes Rendus. Mathématique. 338, 11, p. 843-848 5 p.

  Research output: Contribution to journal › Article › peer-review

  • Measures 100%
  • Constant 50%
  • Transfers 50%
• 2003

  Local-global principle for the Baum-Connes conjecture with coefficients

  Baum, P., Millington, S. & Plymen, R., 2003, In: K-Theory. 28, 1, p. 1-18 17 p.

  Research output: Contribution to journal › Article › peer-review

  • Connes Conjecture 100%
  • Discrete Group 50%
  • Global Field 50%
  • Hasse Principle 50%
• 2002

  Chern character for the Schwartz algebra of p-adic GL(n)

  Brodzki, J. & Plymen, R., Mar 2002, In: Bulletin of the London Mathematical Society. 34, 2, p. 219-228 9 p.

  Research output: Contribution to journal › Article › peer-review

  • S(G) 100%
  • C-Algebras 50%
  • K-Theory 50%
  • Homology 50%

• Complex structure on the smooth dual of $\rm GL(n)$

  Brodzki, J. & Plymen, R., 2002, In: Doc. Math.. 7, p. 91-112

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File
  16 Downloads (Pure)

• Reduced C*-algebra of the p-adic group GL(n) II

  Plymen, R. J., 1 Dec 2002, In: Journal of Functional Analysis. 196, 1, p. 119-134 15 p.

  Research output: Contribution to journal › Article › peer-review

  • C-Algebras 100%
  • Reductive 25%
  • Structure Theorem 25%
• 2001

  Une démonstration de la conjecture de Baum-Connes pour les groupes réductifs adèliques

  Translated title of the contribution: A proof of the Baum-Connes conjecture for reductive adelic groupsPlymen, R., Baum, P., Millington, S. & Flymen, R., 1 Feb 2001, In: Comptes Rendus de l'Academie des Sciences - Series I: Mathematics. 332, 3, p. 195-200 5 p.

  Research output: Contribution to journal › Article › peer-review

  • Reductive 100%
  • Connes Conjecture 100%
  • Global Field 50%
  • Reductive Group 50%
• 2000

  Geometry of the smooth dual of $\rm GL(n)$

  Brodzki, J. & Plymen, R., 2000, In: C. R. Acad. Sci. Paris Sér. I Math.. 331, 3, p. 213-218

  Research output: Contribution to journal › Article › peer-review
• 1999

  Homologie cyclique périodique de certaines algèbres nucléaires

  Translated title of the contribution: Periodic cyclic homology of certain nuclear algebrasBrodzki, J. & Plymen, R., 15 Oct 1999, In: Comptes Rendus de l'Academie des Sciences - Series I: Mathematics. 329, 8, p. 671-676 5 p.

  Research output: Contribution to journal › Article › peer-review

  • Homology 100%
  • Tensor 50%
  • Homology Theory 50%
  • De Rham Cohomology 50%
  • Continuity Theorem 50%
• 1997

  A proof of the Baum-Connes conjecture for $p$-adic $\rm GL(n)$

  Baum, P., Higson, N. & Plymen, R., 1997, In: C. R. Acad. Sci. Paris Sér. I Math.. 325, 2, p. 171-176

  Research output: Contribution to journal › Article › peer-review

• Universal example for $S$-arithmetic groups

  Hodgins, J. E. & Plymen, R. J., 1997, In: Exposition. Math.. 15, 2, p. 149-159

  Research output: Contribution to journal › Article › peer-review
• 1992

  Elliptic representations and $K$-theory for $\rm SL(l)$

  Plymen, R. J., 1992, In: Houston Journal of Mathematics. 18, 1, p. 25-32

  Research output: Contribution to journal › Article › peer-review
• 1991

  $L\sp 2$-Fourier transform for reductive $p$-adic groups

  Leung, C. W. & Plymen, R. J., 1991, In: Bull. London Math. Soc.. 23, 2, p. 146-152

  Research output: Contribution to journal › Article › peer-review

• Arithmetic aspect of operator algebras

  Plymen, R. J. & Leung, C. W., 1991, In: Compositio Math.. 77, 3, p. 293-311

  Research output: Contribution to journal › Article › peer-review
• 1990

  Reduced $C\sp *$-algebra for reductive $p$-adic groups

  Plymen, R. J., 1990, In: Journal of Functional Analysis. 88, 2, p. 251-266

  Research output: Contribution to journal › Article › peer-review
• 1987

  Complex conformal rescaling and Spin-structure

  Plymen, R. J. & Westbury, B. W., 1987, In: Bull. London Math. Soc.. 19, 4, p. 363-370

  Research output: Contribution to journal › Article › peer-review

• The reduced $C\sp \ast$-algebra of the $p$-adic group $\rm GL(n)$

  Plymen, R. J., 1987, In: Journal of Functional Analysis. 72, 1, p. 1-12

  Research output: Contribution to journal › Article › peer-review
• 1986

  Strong Morita equivalence, spinors and symplectic spinors

  Plymen, R. J., 1986, In: Journal of Operator Theory. 16, 2, p. 305-324

  Research output: Contribution to journal › Article › peer-review
• 1983

  The dirac operator and the principal series for complex semisimple lie groups

  Penington, M. G. & Plymen, R. J., 1 Oct 1983, In: Journal of Functional Analysis. 53, 3, p. 269-286 17 p.

  Research output: Contribution to journal › Article › peer-review

  • Semisimple 100%
  • Lie Group 100%
  • Principal Series 100%
  • Dirac Operator 100%
  • K-Theory 33%
• 1982

  The Weyl bundle

  Plymen, R. J., Nov 1982, In: Journal of Functional Analysis. 49, 2, p. 186-197 11 p.

  Research output: Contribution to journal › Article › peer-review

  • C-Algebras 100%
  • Vector Bundle 100%
  • Characteristic Class 100%
  • Stiefel-Whitney Class 100%
• 1980

  Cyclotomic integers and the inner invariant of Connes

  Plymen, R. J., 1980, In: Journal of the London Mathematical Society. 22, 1, p. 14-20

  Research output: Contribution to journal › Article › peer-review

• On the outer and inner invariants of Connes

  Parthasarathy, K. R. & Plymen, R. J., 1980, In: Journal of Functional Analysis. 38, 1, p. 1-15

  Research output: Contribution to journal › Article › peer-review

• The Laplacian and the Dirac operator in infinitely many variables

  Plymen, R. J., 1980, In: Compositio Math.. 41, 1, p. 137-152

  Research output: Contribution to journal › Article › peer-review