منابع مشابه
Representation rings of quantum groups
Generators and relations are given for the subalgebra of cocommutative elements in the quantized coordinate rings O(Gq) of the classical groups, where q is transcendental. This is a ring theoretic formulation of the well known fact that the representation theory of Gq is completely analogous to its classical counterpart. The subalgebras of cocommutative elements in the corresponding FRT-bialgeb...
متن کامل0 Fusion Rings Related to Affine Weyl Groups
The construction of the fusion ring of a quasi-rational CFT based on sl(3) k at generic level k ∈ Q is reviewed. It is a commutative ring generated by formal characters, elements in the group ring Z[ ˜ W ] of the extended affine Weyl group˜W of sl(3) k. Some partial results towards the sl(4) k generalisation of this character ring are presented.
متن کاملFusion Rules for Representations of Compact Quantum Groups
The compact quantum groups are objects which generalise at the same time the compact groups, the duals of discrete groups and the q−deformations (with q > 0) of classical compact Lie groups. A compact quantum group is an abstract object which may be described by (is by definition the dual of) the algebra of “continuous functions on it”, which is a Hopf C-algebra. A system of axioms for Hopf C-a...
متن کاملRepresentations of quantum groups defined over commutative rings II
In this articlewe study the structure of highestweightmodules for quantumgroups defined over a commutative ring with particular emphasis on the structure theory for invariant bilinear forms on these modules. © 2009 Elsevier B.V. All rights reserved.
متن کاملFusion rings for degenerate minimal models
We study fusion rings for degenerate minimal models (p = q case) for N = 0 and N = 1 (super)conformal algebras. We consider a distinguished family of modules at the level c = 1 and c = 3 2 and show that the corresponding fusion rings are isomorphic to the representation rings for sl(2, C) and osp(1|2) respectively.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2014
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-014-9479-6