Lectures on spin representation theory of symmetric groups

zbMath1280.20013arXiv1110.0263MaRDI QIDQ4914689

Weiqiang Wang, Jinkui Wan

Publication date: 15 April 2013

Full work available at URL: https://arxiv.org/abs/1110.0263

zbMATH Keywords

representations of symmetric groupsKostka polynomialsspin representationsHecke-Clifford algebrasSchur dualityYoung seminormal forms

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Projective representations and multipliers (20C25) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (10)

A categorification of twisted Heisenberg algebras ⋮ The center of the twisted Heisenberg category, factorial P-Schur functions, and transition functions on the Schur graph ⋮ A spin analogue of Kerov polynomials ⋮ A general approach to Heisenberg categorification via wreath product algebras ⋮ On Schur superfunctors ⋮ On a categorical Boson-Fermion correspondence ⋮ The center of the twisted Heisenberg category, factorial Schur \(Q\)-functions, and transition functions on the Schur graph ⋮ Random strict partitions and random shifted tableaux ⋮ Linear versus spin: representation theory of the symmetric groups ⋮ Webs for permutation supermodules of type Q

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