Left regular representation of slq(3): reduction and intertwiners
نویسندگان
چکیده
منابع مشابه
THE LEFT REGULAR REPRESENTATION OF A COMMUTATIVE SEPARATIVE SEMIGROUP
In this paper, a commutative semigroup will be written as a disjoint union of its cancellative subsemigroups. Based on this fact we will define the left regular representation of a commutative separative semigroup and show that this representation is faithful. Finally concrete examples of commutative separative semigroups, their decompositions and their left regular representations are given.
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Reduction of the left regular representation of quantum algebra slq(3) is studied and q-difference intertwining operators are constructed. The irreducible representations correspond to the spaces of local sections of certain line bundles over the q-flag manifold.
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1995
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/28/10/014