Symmetry in mathematics
type: Item
instance of: scholarly article
title: Symmetry in mathematics
zbMATH Open document ID: 0787.22026
DOI: 10.1016/0898-1221(92)90212-Z
author: V. S. Varadarajan
publication date: 1993-04-01T00:00:00Z
review text: An attempt to give an exposition of the symmetry concept is presented starting from the determination of the symmetry groups for objects of various categories: finite sets, vector spaces and manifolds with differential and algebraic structures. The main ideas of Galois, Lie, Chevalley, Killing, Cartan, Weyl, Gelfand, Harish-Chandra, Langlands and others are listed in their connection with the corresponding physical applications. The latest investigations associated with gauge transformations and loop groups as well as with quantum groups and noncommutative geometry are also mentioned.
Mathematics Subject Classification ID: 22E70
Mathematics Subject Classification ID: 00A79
Mathematics Subject Classification ID: 81Rxx
Mathematics Subject Classification ID: 20-02
Mathematics Subject Classification ID: 22-02
zbMATH DE Number: 148270
zbMATH Keywords: symmetry groups
zbMATH Keywords: physical applications
zbMATH Keywords: gauge transformations
zbMATH Keywords: loop groups
zbMATH Keywords: quantum groups
zbMATH Keywords: noncommutative geometry
reviewed by: A. A. Bogush
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 148270