Research output per year
Research output per year
Personal profile
Overview
My research is focused on algebraic representation theory. Representation theory utilises linear algebra to study highly non-linear mathematical objects.
Within algebraic representation theory my research specialises in, Lie algebras, graded Hecke algebras, Cherednik algebras, Clifford algebras, Weyl groups and other objects with type classifications.
I have particular interest in duality in representation theory; variations on Schur-Weyl duality and Howe duality.
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Dirac operators for the Dunkl Angular Momentum Algebra
Calvert, K. & De Martino, M., 4 Oct 2021, arXiv.org, p. 1-18, 18 p.Research output: Working paper › Preprint
File5 Downloads (Pure) -
Dirac cohomology of the Dunkl-Opdam subalgebra via inherited Drinfeld properties
Calvert, K., 2019, In: Comm. Algebra. 48, 4, p. 1476-1498 23 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile29 Downloads (Pure) -
Compact Schur-Weyl duality: Real Lie groups and the cyclotomic Brauer algebra
Calvert, K., 15 Mar 2022, In: J. Pure Appl. Algebra. 226, 11, 107082.Research output: Contribution to journal › Article › peer-review
Open Access -
Compact Schur-Weyl duality and the Type B/C VW-algebra
Calvert, K., 8 Oct 2022, In: Advances in Mathematics. 407, 108575.Research output: Contribution to journal › Article › peer-review
Open Access -
Dirac Operators for the Dunkl Angular Momentum Algebra
Calvert, K. & De Martino, M., 2022, In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 18, 040.Research output: Contribution to journal › Article › peer-review
Open Access