Abstract
We show that the centraliser of the maximal compact subgroup of the real groups O(p,q) and Sp 2n(R) acting on tensors of their standard representation is isomorphic to the level 2 cyclotomic Brauer algebra with certain parameters in C. We also prove that for Sp 2n(R) this cyclotomic Brauer algebra is Morita equivalent to a direct sum of walled Brauer algebras.
Original language | English |
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Article number | 107082 |
Journal | J. Pure Appl. Algebra |
Volume | 226 |
Issue number | 11 |
DOIs | |
Publication status | Published - 15 Mar 2022 |
Keywords
- Brauer algebra
- Lie algebra
- Real Lie group
- Schur-Weyl duality