Steinberg conformal superalgebras
type: Item
instance of: scholarly article
title: Steinberg conformal superalgebras
zbMATH Open document ID: 1201.17014
author: I. A. Pinchuk
author: A. V. Mikhalev
published in: Journal of Mathematical Sciences (New York)
publication date: 2008-10-28T00:00:00Z
review text: The authors continue their previous papers on universal central extensions of Lie conformal algebras: Vestn. Mosk. Univ., Ser. I 2005, No. 1, 26--31 (2005); translation in Mosc. Univ. Math. Bull. 60, No. 1, 26--31 (2005; Zbl 1101.17017), Fundam. Prikl. Mat. 11, No. 2, 135--155 (2005); translation in J. Math. Sci., New York 142, No. 2, 1954--1968 (2007; Zbl 1072.17011), and Sb. Math. 196, No. 5, 649--671 (2005); translation from Mat. Sb. 196, No. 5, 31--52 (2005; Zbl 1096.17008). In this paper they describe the Steinberg conformal superalgebra as an abstract algebra by generators and relations.
reviewed by: Olaf Ninnemann
Mathematics Subject Classification ID: 17B65
zbMATH DE Number: 5358186
zbMATH Keywords: current conformal algebras over finite-dimensional Lie superalgebras
zbMATH Keywords: Steinberg conformal superalgebra
zbMATH Keywords: generators and relations
MaRDI profile type: Publication
full work available at URL: s10958-008-9056-9
OpenAlex ID: W2013152499
cites work: Gröbner-Shirshov bases and composition lemma for associative conformal algebras: an example.
cites work: Central extensions of Lie superalgebras
cites work: Lie superalgebras
cites work: Q5687564
cites work: Kähler differentials and coverings of complex simple Lie algebras extended over a commutative algebra
cites work: Central extensions of Lie algebras
cites work: Universal central extensions of the matrix Lie superalgebras \(\text{sl}(m,n,A)\).
cites work: Q5460331
cites work: Steinberg unitary Lie conformal algebras
cites work: Q3412315
cites work: Introduction to Algebraic K-Theory. (AM-72)
DOI: 10.1007/S10958-008-9056-9
description: scientific article; zbMATH DE number 5358186