On Young's orthogonal form and the characters of the alternating group

DOI10.1023/A:1022465117807zbMath0849.05070OpenAlexW174425070MaRDI QIDQ1915157

Patrick Headley

Publication date: 11 June 1996

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

Full work available at URL: https://doi.org/10.1023/a:1022465117807

zbMATH Keywords

characterssymmetric groupYoung tableaualternating groupcharacter tablematrix representationsassociatorYoung's orthogonal form

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10)

Related Items

Schur-Weyl reciprocity between the quantum superalgebra and the Iwahori-Hecke algebra ⋮ Comparison of Gelfand-Tsetlin bases for alternating and symmetric groups ⋮ The irreducible characters of the alternating Hecke algebras

Cites Work

• A rational-function identity related to the Murnaghan-Nakayama formula for the characters of \(S_ n\)
• On the eigenvalues of representations of reflection groups and wreath products
• Relations between Young's natural and the Kazhdan-Lusztig representations of \(S_ n\)
• The representation theory of the symmetric groups
• Young's semi-normal representation of the symmetric group
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