Combinatorial operators for Kronecker powers of representations of \(\mathfrak S_n\).

zbMath1183.20010arXivmath/0503307MaRDI QIDQ2654568

Alain Goupil, Cedric Chauve

Publication date: 19 January 2010

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503307

zbMATH Keywords

Schur functionssymmetric groupsKronecker productssymmetric functionsirreducible representationsKronecker tableaux

Mathematics Subject Classification ID

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

Related Items (16)

Symmetric group characters as symmetric functions ⋮ Multiplicity-free Kronecker products of characters of the symmetric groups ⋮ Tensor powers of the defining representation of \(S_n\) ⋮ The quasi-partition algebra. ⋮ Products of symmetric group characters ⋮ Words and polynomial invariants of finite groups in non-commutative variables ⋮ McKay quivers and Lusztig algebras of some finite groups ⋮ Separation cutoffs for random walk on irreducible representations ⋮ Bell numbers, partition moves and the eigenvalues of the random-to-top shuffle in Dynkin types A, B and D ⋮ Convergence rates of random walk on irreducible representations of finite groups ⋮ The co-Pieri rule for stable Kronecker coefficients ⋮ Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups ⋮ Katriel's operators for products of conjugacy classes of \(\mathfrak S_n\) ⋮ The lattice permutation condition for Kronecker tableaux ⋮ The random \((n-k)\)-cycle to transpositions walk on the symmetric group ⋮ The reflection representation in the homology of subword order

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