Cocharacters of polynomial identities of block triangular matrices
DOI10.1080/00927872.2016.1226881zbMath1400.16013arXiv1112.0792OpenAlexW2528586602MaRDI QIDQ5274715
Boyan Kostadinov, Vesselin Drensky
Publication date: 6 July 2017
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.0792
Hilbert seriesmultiplicitiesblock triangular matricesalgebras with polynomial identitycocharacter sequence
Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) (T)-ideals, identities, varieties of associative rings and algebras (16R10)
Cites Work
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- Computing with 2\(\times 2\) matrices
- Invariants and the ring of generic matrices
- Codimensions of T-ideals and Hilbert series of relatively free algebras
- Properties of hook Schur functions with applications to P. I. algebras
- Some Poincaré series related to identities of 2x2 matrices
- Identities of the tensor square of a Grassmann algebra
- Homogeneous polynomial identities
- Algebras satisfying a Capelli identity
- Colength sequence of some T-ideals
- Codimensions of products and of intersections of verbally prime T-ideals
- A characterization of P. I. algebras with bounded multiplicities of the cocharacters
- Young-derived sequences of \(S_ n\)-characters
- Multiplicities of Schur functions in invariants of two \(3\times 3\) matrices
- Minimal varieties of algebras of exponential growth.
- Applications of Belov's theorem to the cocharacter sequence of p.i. algebras.
- Ordinary and ℤ2-Graded Cocharacters ofUT2(E)
- Asymptotic behaviour of codimensions of p. i. algebras satisfying Capelli identities
- COCHARACTERS OF POLYNOMIAL IDENTITIES OF UPPER TRIANGULAR MATRICES
- MacMahon's partition analysis: The Omega package
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