On the decomposition of the tensorial product of two representations of the Poincaré group —Case with at least one imaginary mass
J. Bertrand (1970)
Annales de l'I.H.P. Physique théorique
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Displaying similar documents to “Continuous bases for unitary irreducible representations of ”
On the decomposition of the tensorial product of two representations of the Poincaré group —Case with at least one imaginary mass
On the unitary representations of and
L. C. Biedenharn, J. Nuyts, N. Straumann (1965)
Annales de l'I.H.P. Physique théorique
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On the theory of unitary representations of the group
Dao Vong Duc, Nguyen Van Hieu (1967)
Annales de l'I.H.P. Physique théorique
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Spherical functions and uniformly bounded representations of free groups
Tadeusz Pytlik (1991)
Studia Mathematica
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We give a construction of an analytic series of uniformly bounded representations of a free group G, through the action of G on its Poisson boundary. These representations are irreducible and give as their coefficients all the spherical functions on G which tend to zero at infinity. The principal and the complementary series of unitary representations are included. We also prove that this construction and the other known constructions lead to equivalent representations.
Explicit Kazhdan constants for representations of semisimple and arithmetic groups
Yehuda Shalom (2000)
Annales de l'institut Fourier
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Consider a simple non-compact algebraic group, over any locally compact non-discrete field, which has Kazhdan’s property . For any such group, , we present a Kazhdan set of two elements, and compute its best Kazhdan constant. Then, settling a question raised by Serre and by de la Harpe and Valette, explicit Kazhdan constants for every lattice in are obtained, for a “geometric” generating set of the form , where is a ball of radius , and the dependence of on is described...
An analytic series of irreducible representations of the free group
Ryszard Szwarc (1988)
Annales de l'institut Fourier
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Let be a free group on generators. We construct the series of uniformly bounded representations of acting on the common Hilbert space, depending analytically on the complex parameter z, , such that each representation is irreducible. If is real or then is unitary; in other cases cannot be made unitary. For representations and are congruent modulo compact operators.