Canonical basis for type \(B_2\)
type: Item
instance of: scholarly article
title: Canonical basis for type \(B_2\)
zbMATH Open document ID: 0967.17010
author: Nanhua Xi
published in: Journal of Algebra
publication date: 2001-08-31T00:00:00Z
review text: Let \(g\) be a symmetrizable Kac-Moody Lie algebra and \(U = U_q(g)\) be the associated quantized enveloping algebra. Let \(U^+\) denote the positive part of \(U\). Lusztig (also independently Kashiwara) introduced an important base called the canonical base for \(U^+\). The explicit description of the canonical base is a rather difficult problem. In this paper the author gives an explicit description of the canonical basis for \(g = B_2\).
reviewed by: Kailash C. Misra
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 17B10
zbMATH DE Number: 1275251
zbMATH Keywords: quantum group
zbMATH Keywords: canonical basis
MaRDI profile type: Publication
full work available at URL: jabr.1998.7688
OpenAlex ID: W1483236051
cites work: On crystal bases of the \(q\)-analogue of universal enveloping algebras
cites work: Canonical Bases Arising from Quantized Enveloping Algebras
cites work: Q4035153
cites work: Introduction to quantum groups
DOI: 10.1006/JABR.1998.7688
description: scientific article; zbMATH DE number 1275251