On a relation between certain character values of symmetric groups and its connection with creation operators of symmetric functions

DOI10.1007/S10801-014-0535-4zbMath1308.05109arXiv1305.2568OpenAlexW2026694522MaRDI QIDQ2264027

Masaki Watanabe

Publication date: 20 March 2015

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2568

zbMATH Keywords

symmetric functionsBrauer algebrasMurnaghan-Nakayama rulesymmteric groups

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Symmetric groups (20B30)

Cites Work

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• Characters of the centralizer algebras of mixed tensor representations of \(GL(r,\mathbb{C})\) and the quantum group \({\mathcal U}_ q(gl(r,\mathbb{C}))\)
• Stability in modules for classical Lie algebras—a constructive approach
• Spin and wedge representations of infinite-dimensional Lie algebras and groups

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