On the codimension sequence of \(G\)-simple algebras.
DOI10.1016/j.jalgebra.2016.03.004zbMath1343.16017arXiv1312.4167OpenAlexW2964256842MaRDI QIDQ279734
Yuval Shpigelman, Yakov Karasik
Publication date: 29 April 2016
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.4167
graded algebrasrepresentation theoryHilbert seriesinvariant theorypolynomial identitiesPI algebrascodimension sequencesgraded codimensionsgraded matrix algebrasgraded PI exponents
Other kinds of identities (generalized polynomial, rational, involution) (16R50) Trace rings and invariant theory (associative rings and algebras) (16R30) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the codimension sequence of \(G\)-simple algebras.
- A conjecture of Regev about the Capelli polynomial
- Codimensions and trace codimensions of matrices are asymptotically equal
- Prime affine algebras of Gelfand-Kirillov dimension one
- Invariants and the ring of generic matrices
- Properties of hook Schur functions with applications to P. I. algebras
- Graded polynomial identities and codimensions: computing the exponential growth.
- The invariant theory of \(n\times n\) matrices
- Asymptotic estimates using probability
- Asymptotic values for degrees associated with strips of Young diagrams
- A graph theoretic approach to graded identities for matrices.
- Representability and Specht problem for \(G\)-graded algebras.
- Existence of identities in \(A \otimes B\)
- Multialternating graded polynomials and growth of polynomial identities
- Hilbert series of PI relatively free G -graded algebras are rational functions
- Graded polynomial identities and exponential growth
- Asymptotic behaviour of codimensions of p. i. algebras satisfying Capelli identities
- Identities of associative algebras
- TRACE IDENTITIES OF FULL MATRIX ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO
- Finite-dimensional simple graded algebras
- Structure of Zariski-closed algebras
- Affine algebras of Gelfand-Kirillov dimension one are PI
- Simple 𝐺-graded algebras and their polynomial identities
This page was built for publication: On the codimension sequence of \(G\)-simple algebras.