On the growth of graded polynomial identities of
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Publication:2979458
DOI10.1080/03081087.2016.1202185zbMath1418.17015arXiv1506.00510OpenAlexW637497421MaRDI QIDQ2979458
Lucio Centrone, Manuela da Silva Souza
Publication date: 25 April 2017
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.00510
Growth rate, Gelfand-Kirillov dimension (16P90) Identities, free Lie (super)algebras (17B01) Graded Lie (super)algebras (17B70) (T)-ideals, identities, varieties of associative rings and algebras (16R10)
Cites Work
- Unnamed Item
- GK dimension of the relatively free algebra for \(sl_2\)
- Classification of group gradings on simple Lie algebras of types \(\mathcal A\), \(\mathcal B\), \(\mathcal C\) and \(\mathcal D\)
- Computing with 2\(\times 2\) matrices
- Codimensions of T-ideals and Hilbert series of relatively free algebras
- Homogeneous polynomial identities
- Cocharacters of \(\mathbb Z/2\mathbb Z\)-graded algebras
- Algebras of quotients of Lie algebras.
- On the graded identities of \(M_{1,1}(E)\)
- Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
- Representability and Specht problem for \(G\)-graded algebras.
- Graded polynomial identities and Specht property of the Lie algebra \(sl_2\)
- On Circulant Matrices
- Identities of PI-Algebras Graded by a Finite Abelian Group
- The graded Gelfand--Kirillov dimension of verbally prime algebras
- A NOTE ON GRADED GELFAND–KIRILLOV DIMENSION OF GRADED ALGEBRAS
- GRADED POLYNOMIAL IDENTITIES FOR THE LIE ALGEBRA sl2(K)
- $\mathbf {Z}_n$-graded polynomial identities of the full matrix algebra of order $n$
- Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution
- Generic verbally prime pi-algebras and their gk-dimensions
