Orthogonal Gelfand-Zetlin algebras. I
type: Item
instance of: scholarly article
title: Orthogonal Gelfand-Zetlin algebras. I
zbMATH Open document ID: 0953.17004
author: Volodymyr Mazorchuk
published in: Beiträge zur Algebra und Geometrie
publication date: 2000-06-18T00:00:00Z
full work available at URL: https://eudml.org/doc/232351
full work available at URL: 11.html
review text: The author defines a class of associative algebras which have properties similar to those of the enveloping algebra of \(\mathfrak{gl}(n,\mathbb{C})\). They also share several features of the representation theory. As particular examples the author gives: the enveloping algebra of \(\mathfrak{gl}(n,\mathbb{C})\), polynomial algebras and extended Heisenberg algebras. In some restricted cases the representation theory is similar to the one developed by \textit{S. P. Smith} [Trans. Am. Math. Soc. 322, 285-314 (1990; Zbl 0732.16019)].
reviewed by: Stefano Capparelli
Mathematics Subject Classification ID: 17B20
Mathematics Subject Classification ID: 16S30
Mathematics Subject Classification ID: 17B35
zbMATH DE Number: 1460287
zbMATH Keywords: enveloping algebras
zbMATH Keywords: representation theory
zbMATH Keywords: polynomial algebras
zbMATH Keywords: extended Heisenberg algebras
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1460287