Injective and tilting resolutions and a Kazhdan-Lusztig theory for the general linear and symplectic group

DOI10.1007/s10468-022-10197-4zbMath1530.20162arXiv2109.10709OpenAlexW4315572244MaRDI QIDQ6146899

Rudolf Tange

Publication date: 15 January 2024

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.10709

zbMATH Keywords

symplectic grouptilting modulesKazhdan-Lusztig polynomialsgeneral linear groupinduced modules

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Cites Work

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• Decomposition numbers of Brauer algebras in non-dividing characteristic.
• Diagrammatic Kazhdan-Lusztig theory for the (walled) Brauer algebra.
• The Brauer algebra and the symplectic Schur algebra
• Highest weight categories arising from Khovanov's diagram algebra. II: Koszulity
• Abstract Kazhdan-Lusztig theories
• Kazhdan-Lusztig Polynomials for Hermitian Symmetric Spaces

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