Abstract:
A method is proposed for constructing irreducible representation of noncompact pseudounitary groups. A method is proposed for constructing irreducible representation of noncompact pseudounitary groups U(p,q) based on the passage from a regular group representation to the “limit” obtained from the regular group for infinite values of the noncompact parameters.
Citation:
A. N. Leznov, M. V. Saveliev, “Representation of noncompact groups U(p,q). I”, TMF, 2:3 (1970), 311–327; Theoret. and Math. Phys., 2:3 (1970), 224–235
This publication is cited in the following 4 articles:
A. N. Leznov, I. A. Malkin, V. I. Man'ko, Problems in the General Theory of Relativity and Theory of Group Representations, 1979, 25
A. N. Vasil'ev, R. A. Radzhabov, “Legendre transforms in the Ising model”, Theoret. and Math. Phys., 21:1 (1974), 963–970
A. N. Leznov, M. V. Saveliev, “Plancherel measure of the principal continuous series of unitary representations of U(p,q)”, Theoret. and Math. Phys., 82:2 (1971), 743–753
A. N. Leznov, M. V. Saveliev, “Characters of the irreducible representations of the pseudounitary group U(p,q). II”, Theoret. and Math. Phys., 4:3 (1970), 854–862
Citation in format AMSBIB
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