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Symmetry groups and their applications. (English) Zbl 0306.22001


MSC:

22-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to topological groups
20C30 Representations of finite symmetric groups
17Bxx Lie algebras and Lie superalgebras
22E70 Applications of Lie groups to the sciences; explicit representations
20G45 Applications of linear algebraic groups to the sciences
22Exx Lie groups
46Cxx Inner product spaces and their generalizations, Hilbert spaces
22E43 Structure and representation of the Lorentz group
20Axx Foundations
20Cxx Representation theory of groups
22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
20G05 Representation theory for linear algebraic groups