\(\mathbb{Z}_2\)-contractions of classical Lie algebras and symmetric polynomials

DOI10.1016/j.jalgebra.2017.06.026zbMath1419.17019OpenAlexW2725743353WikidataQ115350683 ScholiaQ115350683MaRDI QIDQ1682031

Oksana S. Yakimova

Publication date: 28 November 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.06.026

zbMATH Keywords

symmetric polynomialscoadjoint representationclassical Lie algebrassymmetric invariants

Mathematics Subject Classification ID

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

Related Items (1)

On maximal commutative subalgebras of Poisson algebras associated with involutions of semisimple Lie algebras

Cites Work

• Unnamed Item
• On the coadjoint representation of \(\mathbb Z_2\)-contractions of reductive Lie algebras
• One-parameter contractions of Lie-Poisson brackets
• Symmetric invariants of ℤ2-contractions and other semi-direct products

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