A note on cocharacter sequence of Jordan upper triangular matrix algebra
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Publication:2984992
DOI10.1080/00927872.2016.1222408zbMath1401.17022OpenAlexW2529219423MaRDI QIDQ2984992
Lucio Centrone, Fabrizio Martino
Publication date: 12 May 2017
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2016.1222408
Jordan structures associated with other structures (17C50) Identities and free Jordan structures (17C05)
Related Items (8)
Graded polynomial identities for the Lie algebra of upper triangular matrices of order 3 ⋮ Varieties of special Jordan algebras of almost polynomial growth ⋮ Specht property of varieties of graded Lie algebras ⋮ A Lie algebra over a finite field of characteristic 2: graded polynomial identities and Specht property ⋮ Specht property for some varieties of Jordan algebras of almost polynomial growth ⋮ Classifying algebras with graded involutions or superinvolutions with multiplicities of their cocharacter bounded by one ⋮ The algebra of \(2 \times 2\) upper triangular matrices as a commutative algebra: gradings, graded polynomial identities and Specht property ⋮ Polynomial identities for the Jordan algebra of \(2 \times 2\) upper triangular matrices
Cites Work
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- 2-graded polynomial identities for the Jordan algebra of the symmetric matrices of order two
- Homogeneous polynomial identities
- Polynomial identities for the Jordan algebra of upper triangular matrices of order 2
- Polynomial identities for the Jordan algebra of a degenerate symmetric bilinear form
- Ordinary and graded cocharacter of the Jordan algebra of \(2 \times 2\) upper triangular matrices
- Existence of identities in \(A \otimes B\)
- A NOTE ON GRADED GELFAND–KIRILLOV DIMENSION OF GRADED ALGEBRAS
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