WebIn this paper we use the recent developments in the representation theory of locally compact quantum groups, to assign, to each locally compact quantum group G, a locally compact group ~G which is the quantum version of point-masses, and is an invariant for the latter. We show that “quantum point-masses” can be identified with several other locally … WebCategorical Aspects of Quantum Groups: Multipliers and Intrinsic Groups - Volume 68 Issue 2
Description of the Automorphism Group Aut(A/Aα) for a Minimal …
Webthe representation theory of finite-dimensional Lie groups and Lie algebras extend to Kac-Moody Lie algebras. This includes the root system, Weyl group, weight lattice, the parametrization of important representations (the integrable highest weight ones) by dominant weights and the Weyl character formula for these representations. Webtum groups and their idempotent and integral forms. Inchapter 2, I define the 2-Kac-Moody algebra U9 qpgqas well as give some background on 2-categories. Finally, inchapter 3, I explain how the 2-Kac-Moody algebra categorifies the idempotent form of the quantum group. Remark 0.1.1. If you’re reading this essay far in the future because you’re flu shot benefits and risks
2-Kac-Moody Algebras - Cornell University
Web10 de set. de 2002 · It is shown that, for a minimal action α of a compact Kac algebra K on a factor A, the group of all automorphisms leaving the fixed-point algebra A α pointwise invariant is topologically isomorphic to the intrinsic group of the dual Kac algebra K ̂.As an application, in the case where dim K <,∞, the left (in fact, two-sided) coideal of K … WebThe discussion is carried out with the use of the theory of Kac algebras and its generalizations. A number of problems are formulated. A survey is given of works in which L. S. Pontryagin's duality principle is extended to various classes of, ... “On the intrinsic group of a Kac algebra,” Proc. London, Math. Soc.,40, No. 1, 1–20 (1980). WebThe text of the Hermann Weyl Prize lecture given at the XXIV Colloquium on Group Theoretical Methods in Physics, Paris, July 17, 2002. To appear in the Proceedings of the Colloquium. 1. 2 EDWARD FRENKEL 2. ... AFFINE KAC-MOODY ALGEBRAS, INTEGRABLE SYSTEMS AND THEIR DEFORMATIONS 3 of X, equipped with a … flu shot boston ma cvs