Irreducible tensor power representations of the free 2×2 matrix bialgebra
نویسندگان
چکیده
منابع مشابه
Irreducible Matrix Representations of Finite Semigroups
Munn [9] has shown that for a semigroup S satisfying the minimal condition on principal ideals, there is a natural one-to-one correspondence between irreducible representations of S and irreducible representations vanishing at zero of its 0-simple (or simple) principal factors; for the case of S finite, see Ponizovskii [11]. On the other hand, Clifford, [3] and [4], has obtained all representat...
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Tensor products of irreducible representations of the Jordanian quantum algebras Uh(sl(2)) and Uh(su(1, 1)) are considered. For both the highest weight finite dimensional representations of Uh(sl(2)) and lowest weight infinite dimensional ones of Uh(su(1, 1)) , it is shown that tensor product representations are reducible and that the decomposition rules to irreducible representations are exact...
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We study some properties, such as uniform boundedness, unitarity and irreducibility, of a class of representations of the free product of groups. In particular we show that the spherical functions on the free product of two groups, introduced by Cartwright and Soardi, are coefficients of irreducible representations.
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ژورنال
عنوان ژورنال: Japanese journal of mathematics. New series
سال: 1992
ISSN: 0289-2316,1861-3624
DOI: 10.4099/math1924.18.1