Filtered multiplicative bases of restricted enveloping algebras

Victor Bovdi; Alexander Grishkov; Salvatore Siciliano

doi:10.1007/s10468-009-9203-0

Filtered multiplicative bases of restricted enveloping algebras

Victor Bovdi, Alexander Grishkov, Salvatore Siciliano

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

We study the problem of the existence of filtered multiplicative bases of a restricted enveloping algebra u(L), where L is a finite-dimensional and p-nilpotent restricted Lie algebra over a field of positive characteristic p.

Original language	English
Pages (from-to)	601-608
Number of pages	8
Journal	Algebras and Representation Theory
Volume	14
Issue number	4
DOIs	https://doi.org/10.1007/s10468-009-9203-0
Publication status	Published - Aug 2011
Externally published	Yes

Keywords

Filtered multiplicative basis
Restricted enveloping algebra

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s10468-009-9203-0

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title = "Filtered multiplicative bases of restricted enveloping algebras",

abstract = "We study the problem of the existence of filtered multiplicative bases of a restricted enveloping algebra u(L), where L is a finite-dimensional and p-nilpotent restricted Lie algebra over a field of positive characteristic p.",

keywords = "Filtered multiplicative basis, Restricted enveloping algebra",

author = "Victor Bovdi and Alexander Grishkov and Salvatore Siciliano",

year = "2011",

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language = "English",

volume = "14",

pages = "601--608",

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AU - Bovdi, Victor

AU - Grishkov, Alexander

AU - Siciliano, Salvatore

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N2 - We study the problem of the existence of filtered multiplicative bases of a restricted enveloping algebra u(L), where L is a finite-dimensional and p-nilpotent restricted Lie algebra over a field of positive characteristic p.

AB - We study the problem of the existence of filtered multiplicative bases of a restricted enveloping algebra u(L), where L is a finite-dimensional and p-nilpotent restricted Lie algebra over a field of positive characteristic p.

KW - Filtered multiplicative basis

KW - Restricted enveloping algebra

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M3 - Article

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JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

IS - 4

ER -

Filtered multiplicative bases of restricted enveloping algebras

Abstract

Keywords

ASJC Scopus subject areas

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