Sign signatures and characters of Weyl groups

DOI10.1016/j.aam.2021.102225OpenAlexW3166521291MaRDI QIDQ2048373

Steven Glenn Jackson, Alfred G. Noël, Thomas Folz-Donahue, Todor Milev

Publication date: 5 August 2021

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

Full work available at URL: https://arxiv.org/abs/1810.05556

zbMATH Keywords

Lie groupsW-graphsspecial nilpotent orbitssign signaturesWeyl groups representations

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Group actions on combinatorial structures (05E18)

Uses Software

• GAP
• CHEVIE

Cites Work

• Splitting the square of a Schur function into its symmetric and antisymmetric parts
• CHEVIE -- A system for computing and processing generic character tables
• Some Irreducible Representations of Weyl Groups
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