REPRESENTATION AND DUALITY OF UNIMODULAR C*-DISCRETE QUANTUM GROUPS
نویسندگان
چکیده
منابع مشابه
Discrete U-duality Groups
Generators for the discrete U-duality groups of toroidally compactified M-theory in d ≥ 4 are presented and used to determine the d = 3 U-duality group. This contribution summarizes the results of [1].
متن کاملDuality and Self-duality for Dynamical Quantum Groups
We define a natural concept of duality for the h-Hopf algebroids introduced by Etingof and Varchenko. We prove that the special case of the trigonometric SL(2) dynamical quantum group is self-dual, and may therefore be viewed as a deformation both of the function algebra F(SL(2)) and of the enveloping algebra U(sl(2)). Matrix elements of the self-duality in the Peter– Weyl basis are 6j-symbols;...
متن کاملQuantum Groups and Representation Theory
I. QUANTUM GROUPS AND QUANTUM INTEGRABLE SYSTEMS The mathematical theory of solitons started with the invention of the Inverse Scattering Method (ISM) [1]. ISM is based on the introduction of the Lax pair of linear equations vx = U(x, λ, t)v, vt = V (x, λ, t)v (1) instead of an original integrable nonlinear evolution equation ut = K(u, ux, uxx, . . .). (2) Here v = v(x, t) is an m-dimensional v...
متن کاملLanglands Duality for Representations of Quantum Groups
We establish a correspondence (or duality) between the characters and the crystal bases of finite-dimensional representations of quantum groups associated to Langlands dual semi-simple Lie algebras. This duality may also be stated purely in terms of semi-simple Lie algebras. To explain this duality, we introduce an “interpolating quantum group” depending on two parameters which interpolates bet...
متن کاملRepresentation 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 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: Journal of the Korean Mathematical Society
سال: 2008
ISSN: 0304-9914
DOI: 10.4134/jkms.2008.45.2.575