The projective representations of the hyperoctahedral group

DOI10.1016/0021-8693(92)90110-8zbMath0759.20005OpenAlexW1992207501MaRDI QIDQ1183309

John R. Stembridge

Publication date: 28 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/30235

zbMATH Keywords

symmetric groupsWeyl grouproot systemirreducible representationshyperoctahedral groupdouble coversprojective representations

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Projective representations and multipliers (20C25)

Related Items (24)

A general framework for the polynomiality property of the structure coefficients of double-class algebras ⋮ Projective Representations of Finite Reflection Groups. III ⋮ Projective representations and spin characters of complex reflection groups \(G(m,p,n)\) and \(G(m,p,\infty)\), III. ⋮ Permutation enumeration of the symmetric group and the combinatorics of symmetric functions ⋮ The combinatorics of symmetric functions and permutation enumeration of the hyperoctahedral group ⋮ The Brauer group of modified supergroup algebras. ⋮ Spin characters of hyperoctahedral wreath products ⋮ Young's symmetrizers for projective representations of the symmetric group ⋮ Fischer Matrices for Projective Representations of Generalized Symmetric Groups ⋮ The combinatorics of transition matrices between the bases of the symmetric functions and the \(B_ n\) analogues ⋮ Cycle type and descent set in wreath products ⋮ Codes, vertex operators and topological modular forms ⋮ A duality of the twisted group algebra of the symmetric group and a Lie superalgebra ⋮ Hecke-Clifford algebras and spin Hecke algebras. I: The classical affine type. ⋮ The theta characteristic of a branched covering ⋮ The center of the wreath product of symmetric group algebras ⋮ Coinvariant algebras and fake degrees for spin Weyl groups of classical type ⋮ On the symmetric Gelfand pair (ℋn ×ℋn−1,diag(ℋn−1)) ⋮ Spin invariant theory for the symmetric group. ⋮ Some applications of Rees products of posets to equivariant gamma-positivity ⋮ The structure of the Young symmetrizers for spin representations of the symmetric group. I ⋮ Alternate transition matrices for Brenti's \(q\)-symmetric functions and a class of \((q,t)\)-symmetric functions on the hyperoctahedral group ⋮ Relating spin representations of symmetric and hyperoctahedral groups ⋮ Strong Gelfand subgroups of F ≀ Sn

Cites Work

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• Characters of projective representations of symmetric groups
• On the eigenvalues of representations of reflection groups and wreath products
• Shifted tableaux and the projective representations of symmetric groups
• Polynomial functors and wreath products
• The projective representations of the generalized symmetric group
• Clifford modules
• On the Schur Multipliers of Coxeter Groups
• Some combinatorial results involving shifted Young diagrams
• Hopf Algebras and Projective Representations of G ≀ S_n AND G ≀ A_n
• Young's Orthogonal Form of Irreducible Projective Representations of the Symmetric Group
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• The Schur Multiplier of the Generalized Symmetric Group
• The α-regular classes of the generalized symmetric group
• Projective Representations of Reflection Groups II
• Projective Representations of Generalized Symmetric Groups Using Psh-Algebras
• The Spin Representation of the Symmetric Group

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