On a class of algebras defined by partitions.

DOI10.1016/S0196-8858(03)00026-5zbMath1039.16025arXivmath/0210195OpenAlexW2002820683MaRDI QIDQ1415393

Amitai Regev

Publication date: 3 December 2003

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210195

zbMATH Keywords

partitionsgrowth ratessuperalgebrassymmetric algebrasgrowth of algebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Growth rate, Gelfand-Kirillov dimension (16P90) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Identities other than those of matrices over commutative rings (16R40) ``Super (or ``skew) structure (16W55)

Related Items (2)

The Module Decomposition of Super-Symmetric Powers of Matrices ⋮ Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials

Cites Work

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• Applications of hook Young diagrams to P.I. algebras
• Identities of the tensor square of a Grassmann algebra
• Homogeneous polynomial identities
• Colength sequence of some T-ideals
• The theory of Lie superalgebras. An introduction
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras

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