Using Hook Schur Functions to Compute Matrix Cocharacters

DOI10.1080/00927872.2011.630711zbMath1288.16034arXiv1011.1639OpenAlexW2019879398MaRDI QIDQ2839100

Allan Berele

Publication date: 4 July 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.1639

zbMATH Keywords

cocharacter sequencesgeneric matriceshook Schur functionsmixed trace algebraspure trace algebras

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Trace rings and invariant theory (associative rings and algebras) (16R30)

Related Items (2)

Computing multiplicities in the sign trace cocharacters of \(M_{2,1}(F)\) ⋮ Computing super matrix invariants.

Cites Work

• Hook flag characters and their combinatorics
• Invariants and the ring of generic matrices
• Group actions and invariants in algebras of generic matrices.
• Poincaré series of some pure and mixed trace algebras of two generic matrices.
• Maximal multiplicities in cocharacter sequences.
• Homogeneous polynomial identities
• Supertraces and matrices over Grassmann algebras
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Denominators for the Poincaré series of invariants of small matrices
• MULTIPLICITIES IN THE MIXED TRACE COCHARACTER SEQUENCE OF TWO 3 × 3 MATRICES

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