Group Representation in a Continuous Basis: An Example | Zendy

C. Itzykson | Zendy

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Group Representation in a Continuous Basis: An Example

Author(s) -

C. Itzykson

Publication year - 1969

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.1664941

Subject(s) - unitary state , unitary representation , group (periodic table) , induced representation , irreducible representation , mathematics , representation (politics) , representation theory of su , group representation , algebra over a field , representation theory of finite groups , restricted representation , series (stratigraphy) , basis (linear algebra) , pure mathematics , group theory , fundamental representation , lie group , physics , quantum mechanics , geometry , paleontology , lie algebra , politics , political science , law , biology , weight

Given an irreducible unitary representation of a noncompact group, what happens if one tries to diagonalize one of the noncompact generators? We study some aspects of this question on an example, chosen to be a representation of the discrete series with j = −½ of the special real linear group in two dimensions.

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