A duality of the twisted group algebra of the symmetric group and a Lie superalgebra
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Publication:1969486
DOI10.1006/jabr.1999.8049zbMath0952.20012arXivmath/9811090OpenAlexW2059919380WikidataQ115395794 ScholiaQ115395794MaRDI QIDQ1969486
Publication date: 15 October 2000
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9811090
Representations of finite symmetric groups (20C30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Twisted and skew group rings, crossed products (16S35) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)
Related Items
Spin characters of hyperoctahedral wreath products ⋮ Spin Hecke algebras of finite and affine types. ⋮ Spin Kostka polynomials and vertex operators ⋮ Hecke-Clifford algebras and spin Hecke algebras. I: The classical affine type. ⋮ The theta characteristic of a branched covering ⋮ Coinvariant algebras and fake degrees for spin Weyl groups of classical type ⋮ Spin invariant theory for the symmetric group. ⋮ Representation theory of symmetric groups and related Hecke algebras ⋮ Asymptotic codimensions of \(M_k(E)\) ⋮ Hecke-Clifford algebras and spin Hecke algebras. III: The trigonometric type.
Cites Work
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- Characters of projective representations of symmetric groups
- Shifted tableaux, Schur q-functions, and a conjecture of R. Stanley
- Shifted tableaux and the projective representations of symmetric groups
- The projective representations of the hyperoctahedral group
- Some permutation representations of Weyl groups associated with the cohomology of toric varieties
- THE TENSOR ALGEBRA OF THE IDENTITY REPRESENTATION AS A MODULE OVER THE LIE SUPERALGEBRAS $ \mathfrak{Gl}(n,\,m)$ AND $ Q(n)$
- The Schur Multiplier of the Generalized Symmetric Group
- Graded Brauer Groups.
- Lie superalgebras
