GRADED POLYNOMIAL IDENTITIES FOR THE LIE ALGEBRA sl2(K)

DOI10.1142/S021819670800469XzbMath1157.16006OpenAlexW2090933328WikidataQ115245911 ScholiaQ115245911MaRDI QIDQ3528853

Plamen Koshlukov

Publication date: 17 October 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021819670800469x

zbMATH Keywords

polynomial identities of matricesgraded polynomial identitiesLie identitiesfinite bases of identities

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Identities, free Lie (super)algebras (17B01) Graded Lie (super)algebras (17B70) Trace rings and invariant theory (associative rings and algebras) (16R30) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (max. 100)

\(\mathbb{Z}\)-graded polynomial identities of the Grassmann algebra ⋮ Polynomial identities for the Jordan algebra of upper triangular matrices of order 2 ⋮ Group gradings on the Lie and Jordan algebras of upper triangular matrices ⋮ Graded A-identities for the matrix algebra of order two ⋮ Specht property of varieties of graded Lie algebras ⋮ \(\mathbb{Z}\)-graded identities of the Lie algebras \(U_1\) ⋮ Polynomial identities for the Jordan algebra of a degenerate symmetric bilinear form ⋮ Graded polynomial identities and Specht property of the Lie algebra \(sl_2\) ⋮ Minimal varieties of graded Lie algebras of exponential growth and the special Lie algebra \(sl_2\) ⋮ On the growth of graded polynomial identities of ⋮ Ordinary and graded cocharacter of the Jordan algebra of \(2 \times 2\) upper triangular matrices ⋮ GK dimension of the relatively free algebra for \(sl_2\) ⋮ Elementary gradings on the Lie algebra \(UT_n^{(-)}\) ⋮ \(G\)-identities for the Lie algebra \(sl_2(\mathbb{C})\) ⋮ 2-graded polynomial identities for the Jordan algebra of the symmetric matrices of order two ⋮ \(\mathbb{Z}\)-graded identities of the Lie algebra \(W_1\) ⋮ Identities for the special linear Lie algebra with the Pauli and Cartan gradings ⋮ Graded identities for Kac-Moody and Heisenberg algebras with the Cartan grading

Cites Work

• Unnamed Item
• Graded identities for T-prime algebras over fields of positive characteristic
• Basis of identities of a three-dimensional simple Lie algebra over an infinite field
• A characteristic free approach to invariant theory
• Weak polynomial identities for the matrix algebra of order two
• Central polynomials in the matrix algebra of order two.
• On the graded identities of \(M_{1,1}(E)\)
• $\mathbf {Z}_n$-graded polynomial identities of the full matrix algebra of order $n$
• Z-Graded Polynomial Identities of the Full Matrix Algebra
• GRADED IDENTITIES FOR THE MATRIX ALGEBRA OF ORDER OVER AN INFINITE FIELD
• Basis of the identities of the matrix algebra of order two over a field of characteristic \(p\neq 2\)

This page was built for publication: GRADED POLYNOMIAL IDENTITIES FOR THE LIE ALGEBRA sl₂(K)