منابع مشابه
Integration over Compact Quantum Groups
We find a combinatorial formula for the Haar functional of the orthogonal and unitary quantum groups. As an application, we consider diagonal coefficients of the fundamental representation, and we investigate their spectral measures. Introduction A basic question in functional analysis is to find axioms for quantum groups, which ensure the existence of a Haar measure. In the compact case, this ...
متن کاملSimple Compact Quantum Groups I
The notion of simple compact quantum group is introduced. As non-trivial (noncommutative and noncocommutative) examples, the following families of compact quantum groups are shown to be simple: (a) The universal quantum groups Bu(Q) for Q ∈ GL(n,C) satisfying QQ̄ = ±In, n ≥ 2; (b) The quantum automorphism groups Aaut(B, τ) of finite dimensional C ∗-algebras B endowed with the canonical trace τ w...
متن کاملInduced corepresentations of locally compact quantum groups
Consider a closed subgroup H of a locally compact group G together with a strongly continuous unitary representation u of H on a Hilbert space K. The construction of the induced representation uses these three ingredients to supply a new strongly continuous unitary representation ρ of the larger group G on a new Hilbert space K. Induced group representations for finite groups where first introd...
متن کاملUnitary Representations of Compact Quantum Groups
Let v be the right regular representation of a compact quantum group G. Then ([6], Proposition 4.4) v contains all irreducible representations of G and each irreducible representation enters v with the multiplicity equal to its dimension. The result is certainly known for classical compact groups ([1]). The aim of this paper is to give a short survey on this subject and to provide a different p...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1996
ISSN: 0034-5318
DOI: 10.2977/prims/1195162967