A remark on Frobenius characters for set representations of symmetric groups

2008/02/10 by Vladimir Dotsenko, Dotsenko, Vladimir · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT

paper · pdf · doi:10.48550/arxiv.0802.1340

8 pages

openalex publication_date 2008/02/10 · arxiv created 2008/02/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For any set representation (permutation representation) of the symmetric group S_n, we give combinatorial interpretation for coefficients of its Frobenius character expanded in the basis of monomial symmetric functions.

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