Minimal varieties of graded Lie algebras of exponential growth and the special Lie algebra \(sl_2\)

DOI10.1016/j.jpaa.2013.12.003zbMath1317.17008OpenAlexW2005564538WikidataQ115345459 ScholiaQ115345459MaRDI QIDQ2439312

Manuela da Silva Souza, Antonio Giambruno

Publication date: 14 March 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2013.12.003

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Graded Lie (super)algebras (17B70) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (max. 100)

\(\mathbb{Z}\)-graded identities of the Lie algebras \(U_1\) ⋮ \(\mathbb{Z}\)-graded identities of the Lie algebra \(W_1\) ⋮ Identities for the special linear Lie algebra with the Pauli and Cartan gradings

Cites Work

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• Classification of group gradings on simple Lie algebras of types \(\mathcal A\), \(\mathcal B\), \(\mathcal C\) and \(\mathcal D\)
• An example of a variety of Lie algebras with a fractional exponent
• Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
• Graded polynomial identities and Specht property of the Lie algebra \(sl_2\)
• GRADED POLYNOMIAL IDENTITIES FOR THE LIE ALGEBRA sl₂(K)
• Integrality of exponents of codimension growth of finite-dimensional Lie algebras
• Growth of some varieties of Lie superalgebras
• Amitsur’s conjecture for polynomial 𝐻-identities of 𝐻-module Lie algebras
• On the complexity functions for T-ideals of associative algebras

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