Permutation representations on invertible matrices.

DOI10.1016/J.LAA.2006.05.016zbMath1111.20013arXivmath/0411556OpenAlexW2058730410MaRDI QIDQ865412

Eli Bagno, Yona Cherniavsky

Publication date: 14 February 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411556

zbMATH Keywords

symmetric groupsirreducible representationsmultiplicitiespermutation representationsactions on invertible matricesasymptotic behavior of conjugacy representations

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Related Items (3)

Generation of bases with definite factorization for ann-qubit system and mutually unbiased sets construction ⋮ Multiplicative bases in matrix algebras ⋮ Conjugacy in Permutation Representations of the Symmetric Group

Cites Work

• Multiplicative bases in matrix algebras
• Theorem about the conjugacy representation of \(S_ n\)
• The conjugacy character of \(S_ n\) tends to be regular
• Decomposition of the conjugacy representation of the symmetric groups
• Conjugacy in Permutation Representations of the Symmetric Group
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