Young's symmetrizers for projective representations of the symmetric group

DOI10.1006/aima.1997.1621zbMath0930.20011OpenAlexW1974292136MaRDI QIDQ1369692

M. L. Nazarov

Publication date: 25 November 1999

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1997.1621

zbMATH Keywords

symmetric groupslinear representationsirreducible representationsprojective representations

Mathematics Subject Classification ID

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

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Cites Work

• Solutions of the Yang-Baxter equation
• On modules over the Hecke algebra of a p-adic group
• Degenerate affine Hecke algebras and Yangians
• Special bases of irreducible representations of a degenerate affine Hecke algebra
• The Yangians, Bethe Ansatz and combinatorics
• Relations between Young's natural and the Kazhdan-Lusztig representations of \(S_ n\)
• The \(A_ n^{(1)}\) face models
• Shifted tableaux and the projective representations of symmetric groups
• A new construction of Young's seminormal representation of the symmetric groups
• Yang-Baxter equation and representation theory. I
• The projective representations of the hyperoctahedral group
• Quantized universal enveloping superalgebra of type \(Q\) and a super- extension of the Hecke algebra
• Clifford modules
• Representations induced in an invariant subgroup
• Affine Hecke Algebras and Their Graded Version
• THE TENSOR ALGEBRA OF THE IDENTITY REPRESENTATION AS A MODULE OVER THE LIE SUPERALGEBRAS $ \mathfrak{Gl}(n,\,m)$ AND $ Q(n)$
• Yangians of the “strange” lie superalgebras
• Projective Representations of Reflection Groups
• DEGENERATE AFFINE HECKE ALGEBRAS AND TWO-DIMENSIONAL PARTICLES
• The Spin Representation of the Symmetric Group
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item