On a permutation character ofSm

DOI10.1080/03081089808818546zbMath0908.15017OpenAlexW2085370131MaRDI QIDQ4208349

M. A. Shahabi, Mohammad Shahryari

Publication date: 15 March 1999

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

Full work available at URL: https://doi.org/10.1080/03081089808818546

zbMATH Keywords

representationssymmetric groupsymmetry classes of tensorstensor productirreducible constituentsSpecht moduleKostka numberpermutation operator

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Multilinear algebra, tensor calculus (15A69)

Related Items (1)

Relative symmetric polynomials

Cites Work

• Irreducible representations of the full linear group
• Nonzero decomposable symmetrized tensors
• Young diagrams, Schur functions, the Gale-Ryser theorem and a conjecture or Snapper
• Inequalities for generalized matrix functions based on arbitrary characters
• A note on symmetry classes of tensors
• Recent advances in symmetry classes of tensors^†
• Immanants and decomposable tensors that symmetrize to zero
• Nonzero star products^*
• Theorems on the index of a symmetry class of tensors
• The dimensions of certain symmetry classes of tensors II
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