The integral Schur-Weyl-Sergeev duality

DOI10.1016/j.jpaa.2022.107044OpenAlexW4211149135WikidataQ114155388 ScholiaQ114155388MaRDI QIDQ2125172

Zhenhua Li, Haixia Gu, Ya Nan Lin

Publication date: 13 April 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.05777

zbMATH Keywords

realizationqueer Lie superalgebraqueer Schur superalgebraSchur-Weyl-Sergeev dualitySergeev superalgebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Quantum groups (quantized function algebras) and their representations (20G42)

Cites Work

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• THE TENSOR ALGEBRA OF THE IDENTITY REPRESENTATION AS A MODULE OVER THE LIE SUPERALGEBRAS $ \mathfrak{Gl}(n,\,m)$ AND $ Q(n)$
• THE QUEER -SCHUR SUPERALGEBRA
• MULTIPLICATION FORMULAS AND SEMISIMPLICITY FOR -SCHUR SUPERALGEBRAS
• Presenting Queer Schur Superalgebras
• Projective representations of symmetric groups via Sergeev duality

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