Wreath products and Kaluzhnin-Krasner embedding for Lie algebras

DOI10.1090/S0002-9939-06-08502-9zbMath1173.17008OpenAlexW2167544024MaRDI QIDQ3420034

E. O. Shishkin, Yuri P. Razmyslov, Victor M. Petrogradsky

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08502-9

zbMATH Keywords

coalgebradivided power serieswreath product

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Lie algebras of vector fields and related (super) algebras (17B66) Asymptotic results on counting functions for algebraic and topological structures (11N45) Structure theory for Lie algebras and superalgebras (17B05)

Related Items

On wreath products of groups, semigroups and algebras, Fractal nil graded Lie superalgebras, Clover nil restricted Lie algebras of quasi-linear growth, Fractal just infinite nil Lie superalgebra of finite width, An explanation to ``rolling simplexes and their commensurability (field equations in accordance with Tycho Brahe), Nil restricted Lie algebras of oscillating intermediate growth, Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras, On matrix wreath products of algebras, On Jordan doubles of slow growth of Lie superalgebras, Nil Liep-algebras of slow growth, Matrix wreath products of algebras and embedding theorems, On self-similar Lie algebras and virtual endomorphisms

Cites Work

• Divided power structures on Hopf algebras and embedding Lie algebras into special-derivation algebras
• Induced and Produced Representations of Lie Algebras
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