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

12 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

General Mathematics

Access to Document

10.1007/s10468-009-9203-0

Cite this

@article{a6ef1124cb4a4c2ca5445be81583880f,

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",

month = aug,

doi = "10.1007/s10468-009-9203-0",

language = "English",

volume = "14",

pages = "601--608",

journal = "Algebras and Representation Theory",

issn = "1386-923X",

publisher = "Springer Netherlands",

number = "4",

}

TY - JOUR

T1 - Filtered multiplicative bases of restricted enveloping algebras

AU - Bovdi, Victor

AU - Grishkov, Alexander

AU - Siciliano, Salvatore

PY - 2011/8

Y1 - 2011/8

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

UR - https://www.scopus.com/pages/publications/80052969021

UR - https://www.scopus.com/pages/publications/80052969021#tab=citedBy

U2 - 10.1007/s10468-009-9203-0

DO - 10.1007/s10468-009-9203-0

M3 - Article

AN - SCOPUS:80052969021

SN - 1386-923X

VL - 14

SP - 601

EP - 608

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

Access to Document

Other files and links

Fingerprint

Cite this