A star-product approach to noncompact quantum groups
نویسندگان
چکیده
منابع مشابه
A tensor product approach to the abstract partial fourier transforms over semi-direct product groups
In this article, by using a partial on locally compact semi-direct product groups, we present a compatible extension of the Fourier transform. As a consequence, we extend the fundamental theorems of Abelian Fourier transform to non-Abelian case.
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Noncompact forms of the Drinfeld–Jimbo quantum groups U q (g) with H∗ i = Hi, X i ∗ = siX ∓ i for si = ±1 are studied at roots of unity. This covers g = so(n, 2p), su(n, p), so∗(2l), sp(n, p), sp(l, R), and exceptional cases. Finite–dimensional unitary representations are found for all these forms, for even roots of unity. Their classical symmetry induced by the Frobenius–map is determined, and...
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We study the minimal unitary representations of non-compact groups and supergroups obtained by quantization of their geometric realizations as quasi-conformal groups and supergroups. The quasi-conformal groups G leave generalized light-cones defined by a quartic norm invariant and have maximal rank subgroups of the form H × SL(2,R) such that G/H × SL(2,R) are para-quaternionic symmetric spaces....
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ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 1995
ISSN: 0377-9017,1573-0530
DOI: 10.1007/bf00749624