COCHARACTERS OF POLYNOMIAL IDENTITIES OF UPPER TRIANGULAR MATRICES

DOI10.1142/S0219498811005440zbMath1248.16020arXiv1101.4503OpenAlexW2964128298MaRDI QIDQ5389527

Silvia Boumova, Vesselin Drensky

Publication date: 21 April 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4503

zbMATH Keywords

Hilbert seriesrepresentations of symmetric groupsalgebras with polynomial identitiesideals of identitiesT-idealsmultiplicitiescocharacter sequencesalgebras of upper triangular matricesrelatively free algebras

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Endomorphism rings; matrix rings (16S50) Representations of finite symmetric groups (20C30) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items

\(Y\)-proper graded cocharacters of the algebra \(UT_m(F)\) of \(m \times m\) upper triangular matrices over \(F\) ⋮ \(Y\)-proper graded cocharacters and codimensions of upper triangular matrices of size 2, 3, 4. ⋮ \(Y\)-proper graded cocharacters of upper triangular matrices of order \(m\) graded by the \(m\)-tuple \(\phi=(0,0,1,\ldots,m-2)\). ⋮ Multigraded Hilbert series of noncommutative modules ⋮ Cocharacters of polynomial identities of block triangular matrices

Uses Software

• Omega

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