Lie identities on symmetric elements of restricted enveloping algebras

Salvatore Siciliano, Hamid Usefi

Type: Article

Publication Date: 2012-10-11

Citations: 7

DOI: https://doi.org/10.1007/s11856-012-0144-7

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Israel Journal of Mathematics - View
arXiv (Cornell University) - View - PDF

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+ PDF Chat	Restricted enveloping algebras whose skew and symmetric elements are Lie metabelian	2015	Salvatore Siciliano Hamid Usefi
+	Lie structure of truncated symmetric Poisson algebras	2017	Ilana Zuila Monteiro Alves Victor Petrogradsky
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+ PDF Chat	Identities in Group Rings, Enveloping Algebras and Poisson Algebras	2020	Victor Petrogradsky
+	Ubiquitous Lie polynomials in a two-generator universal enveloping algebra	2019	Rafael Reno S. Cantuba
+	Identidades de Lie da álgebra de Poisson simétrica truncada	2016	Ilana Zuila Monteiro Alves
+	Restricted enveloping algebras whose skew and symmetric elements are Lie metabelian	2014	Salvatore Siciliano Hamid Usefi

Works Cited by This (29)

Action	Title	Year	Authors
+	Rings with involution	1976	I. N. Herstein
+	Enveloping algebras of restricted Lie superalgebras satisfying non-matrix polynomial identities	2009	Hamid Usefi
+	Modular Lie Algebras and their Representations	2020	Helmut Strade
+	Group rings whose symmetric elements are Lie nilpotent	1999	Gregory T. Lee
+	The Lie Structure of Enveloping Algebras	1993	D. M. Riley Aner Shalev
+	Existence of identities in the restricted enveloping algebra	1991	Виктор Михайлович Петроградский
+	Identities in rings with involutions	1969	S. A. Amitsur
+	Lie nilpotence of group rings	1993	Antonio Giambruno Sudarshan K. Sehgal
+	On the Lie algebra of skew-symmetric elements of an enveloping algebra	2010	Salvatore Siciliano
+	Special simple rings with involution	1967	I. N. Herstein