Structure of the complementary series and special representations of the groups O(n,1) and U(n,1)

Identifieur interne : 000A53 ( Istex/Checkpoint ); précédent : 000A52; suivant : 000A54

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Structure of the complementary series and special representations of the groups O(n,1) and U(n,1)

Auteurs :

Source :

• Russian Mathematical Surveys [ 0036-0279 ] ; 2006-10-31.

RBID : ISTEX:301CD45A2F2D2B0C59A49EA1398A01FFA8E8EA99

English descriptors

• KwdEn :
  • Academic press, Akad, Anal, Bargmann, Bargmann model, Berezin, Bessel, Bessel function, Block matrices, Boundary values, Canonical, Canonical representation, Canonical representations, Canonical state, Canonical states, Cocycles, Codimension, Cohomology, Commutative, Commutative model, Compact group, Complementary, Complementary series, Complementary series representation, Complementary series representations, Const, Cosh, Current group, Current groups, Degenerate, Delta function, Diag, Direct integral, Direct integrals, Embedding, English transl, Explicit expression, Explicit formulae, Fourier, Generalized functions, Graev, Graev model, Graev proposition, Group property, Harmonic analysis, Heisenberg, Heisenberg group, Heisenberg subgroup, Hermitian, Hermitian forms, Hilbert, Hilbert space, Hilbert space isomorphism, Hilbert spaces, Homogeneous polynomials, Homogeneous space, Identity matrix, Identity representation, Inner products, Invariant measure, Invariant subspace, Invariant subspaces, Invariant vectors, Irreducible, Irreducible representation, Irreducible representations, Irreducible subspaces, Isometric embedding, Isomorphism, Lebesgue, Lebesgue measure, Lecture notes, Linear transformations, Matrix, Matrix model, Maximal, Maximal parabolic subgroup, Maximal unipotent subgroup, Monomials, Nauk, Nauka, Norm, Orthogonal, Orthogonal basis, Other hand, Other words, Pairwise, Pairwise equivalent, Parabolic, Power series, Quotient, Quotient space, Reducible, Representation, Representation theory, Russian math, Same formulae, Sinh, Special representation, Special representations, Spherical coordinates, Spherical function, Spherical functions, Squared, Squared norm, Squared norms, Subgroup, Subspace, Tensor, Tensor product, Tensor products, Transl, Unipotent, Unipotent subgroup, Unit ball, Unit sphere, Unitarity, Unitary, Unitary representation, Unitary representations, Unitary unit sphere, Vacuum vector, Vershik, Whole group.
• Teeft :
  • Academic press, Akad, Anal, Bargmann, Bargmann model, Berezin, Bessel, Bessel function, Block matrices, Boundary values, Canonical, Canonical representation, Canonical representations, Canonical state, Canonical states, Cocycles, Codimension, Cohomology, Commutative, Commutative model, Compact group, Complementary, Complementary series, Complementary series representation, Complementary series representations, Const, Cosh, Current group, Current groups, Degenerate, Delta function, Diag, Direct integral, Direct integrals, Embedding, English transl, Explicit expression, Explicit formulae, Fourier, Generalized functions, Graev, Graev model, Graev proposition, Group property, Harmonic analysis, Heisenberg, Heisenberg group, Heisenberg subgroup, Hermitian, Hermitian forms, Hilbert, Hilbert space, Hilbert space isomorphism, Hilbert spaces, Homogeneous polynomials, Homogeneous space, Identity matrix, Identity representation, Inner products, Invariant measure, Invariant subspace, Invariant subspaces, Invariant vectors, Irreducible, Irreducible representation, Irreducible representations, Irreducible subspaces, Isometric embedding, Isomorphism, Lebesgue, Lebesgue measure, Lecture notes, Linear transformations, Matrix, Matrix model, Maximal, Maximal parabolic subgroup, Maximal unipotent subgroup, Monomials, Nauk, Nauka, Norm, Orthogonal, Orthogonal basis, Other hand, Other words, Pairwise, Pairwise equivalent, Parabolic, Power series, Quotient, Quotient space, Reducible, Representation, Representation theory, Russian math, Same formulae, Sinh, Special representation, Special representations, Spherical coordinates, Spherical function, Spherical functions, Squared, Squared norm, Squared norms, Subgroup, Subspace, Tensor, Tensor product, Tensor products, Transl, Unipotent, Unipotent subgroup, Unit ball, Unit sphere, Unitarity, Unitary, Unitary representation, Unitary representations, Unitary unit sphere, Vacuum vector, Vershik, Whole group.

Url:

• https://api.istex.fr/document/301CD45A2F2D2B0C59A49EA1398A01FFA8E8EA99/fulltext/pdf

DOI: 10.1070/RM2006v061n05ABEH004356

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