Abstract
We determine the Grothendieck rings of the category of finite-dimensional modules over Queer Lie superalgebras via their rings of characters. In particular, we show that the Q-span of the ring of characters of the Queer Lie supergroup Q(n) is isomorphic to the ring of Laurent polynomials in x1, . . ., xn for which the evaluation xn−1 = −xn = t is independent of t. We thus complete the description of Grothendieck rings for all classical Lie superalgebras.
Original language | English |
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Pages (from-to) | 3201-3211 |
Number of pages | 11 |
Journal | Proceedings of the American Mathematical Society |
Volume | 151 |
Issue number | 8 |
DOIs | |
State | Published - 1 Aug 2023 |
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- General Mathematics