The generating function of strict Gelfand patterns and some formulas on characters of general linear groups

DOI10.2969/jmsj/04040671zbMath0639.20022OpenAlexW2091600172MaRDI QIDQ1100279

Takeshi Tokuyama

Publication date: 1988

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04040671

zbMATH Keywords

partitiongeneral linear groupsgenerating functionalternating sign matricesHall-Littlewood polynomialsWeyl's character formularational representationweight vectorsrepresentation spaces of unitary groupsstrict Gelfand patterns

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

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