A generalization of Veldkamp's theorem for a class of Lie algebras

DOI10.1016/j.jalgebra.2021.03.018zbMath1481.17020arXiv1907.03031OpenAlexW3144974180WikidataQ115350382 ScholiaQ115350382MaRDI QIDQ2664496

Akaki Tikaradze

Publication date: 20 April 2021

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

Full work available at URL: https://arxiv.org/abs/1907.03031

zbMATH Keywords

enveloping algebrasderived isomorphism problemLie algebras in characteristic \(p\)

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Modular Lie (super)algebras (17B50)

Cites Work

• The polynomiality of the Poisson center and semi-center of a Lie algebra and Dixmier's fourth problem
• Polynomiality of invariants, unimodularity and adapted pairs
• Computing invariants and semi-invariants by means of Frobenius Lie algebras
• Invariant polynomials on truncated multicurrent algebras
• Irreducible representations of Lie algebras of reductive groups and the Kac-Weisfeiler conjecture
• On the coadjoint representation of \(\mathbb Z_2\)-contractions of reductive Lie algebras
• Isomorphism invariants of enveloping algebras
• The invariant polynomial algebras for the groups IU(n) and ISO(n)
• The invariant polynomial algebras for the groups ISL(n) and ISp(n)
• Representations of restricted Lie algebras and families of associative ℒ-algebras
• Symmetric invariants of ℤ2-contractions and other semi-direct products
• A proof of the first Kac–Weisfeiler conjecture in large characteristics
• The center of the universal enveloping algebra of a Lie algebra in characteristic $p$
• On Automorphisms of Enveloping Algebras
• Unnamed Item

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