On the dimension of some modular irreducible representations of the symmetric group | Zendy

Olivier Mathieu | Zendy

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On the dimension of some modular irreducible representations of the symmetric group

Author(s) -

Olivier Mathieu

Publication year - 1996

Publication title -

letters in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.915

H-Index - 62

eISSN - 1573-0530

pISSN - 0377-9017

DOI - 10.1007/bf00398296

Subject(s) - indecomposable module , mathematics , irreducible representation , tensor product , dimension (graph theory) , pure mathematics , sl2(r) , group (periodic table) , product (mathematics) , symmetric group , clebsch–gordan coefficients , representation theory of su , algebra over a field , fundamental representation , lie algebra , physics , weight , geometry , quantum mechanics

We compute the dimension of some irreducible representations of the symmetric groups in characteristic p (Theorem 2). The representations considered here are associated with Young diagrams m: m1=m2=...=mlsuch that m1-ml=(p-l). The formula is based on a variant of Verlinde's formula which computes some tensor product multiplicities of indecomposable modules for GL1(Fp).

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