On the intrinsic group of a kac algebra
WebWe show that the intrinsic group G(K) of a Kac algebra K can be identified with a particular group of automorphisms of the dual Kac algebra K ⌢. This enables us to determine the intrinsic group in a few examples, and also to prove that the intrinsic elements do not … WebAlso, in recent times, the topic of "quantum groups" has become very fashionable and attracted the attention of more and more mathematicians and theoret ical physicists. One is still missing a good characterization of quantum groups among Hopf algebras, similar to the character ization of Lie groups among locally compact groups.
On the intrinsic group of a kac algebra
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http://sporadic.stanford.edu/conformal/lecture6.pdf Web10 de set. de 2002 · We show that the intrinsic group G(K) of a Kac algebra K can be identified with a particular group of automorphisms of the dual Kac algebra .
Web11 de ago. de 2016 · Gordon Ritter currently works full-time as CIO and Founder of Ritter Alpha LP, a registered investment adviser focused on systematically-managed quantitative absolute-return strategies. Web13 de jan. de 2009 · Victor G. Kac, Automorphisms of Finite Order of Semisimple Lie Algebras, Functional Analysis and Its Applications 3 (1969), 252–254. MATH Google …
WebFurthermore, since the intrinsic group of a Kac algebra consists of "group-like" elements of the given Kac algebra, it can be considered as a natural kind of invariant attached to each Kac algebra. So to study the intrinsic group is one of the important things in the theory of Kac algebras ([DeC2), [Y 1]). For a locally compact group G and a G ... 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
WebThe restriction of the coordinate ring to the Kac-Moody group is the algebra of strongly regular functions introduced by V. Kac and D. Peterson. This monoid has similar structural properties as a reductive algebraic monoid. In particular it is unit regular, its idempotents related to the faces of the Tits cone. darlintia amfoWeb10 de set. de 2002 · Abstract. 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 … markcampbell.netWebgral form for the universal enveloping algebra of any Kac-Moody algebra that can be used to define Kac-Moody groups over finite fields, some new irreducible integrable … mark campbell altoona pa webmdWebOn the intrinsic group of a Kac algebra. Proc. London Math. Soc. 39, (1979), à paraître Dixmier, J.: Les algèbres d'opérateurs dans l'espace hilbertien. Paris: Gauthier-Villars … darlintinoWeb12 de mai. de 2024 · A generalised notion of Kac-Moody algebra is defined using smooth maps from a compact real manifold to a finite-dimensional Lie group, by means of … mark campbell altoona paWebWe show that the intrinsic group G(K) of a Kac algebra K can be identified with a particular group of automorphisms of the dual Kac algebra K⌢. This enables us to … darlin studiosWebIn particular, we have a canonically defined cluster algebra A and an upper cluster algebra U inside its field of rational functions. In order to investigate the structure of the function ring of that moduli space, we introduce the Wilson lines valued in the simply-connected group G, which are “framed versions” of those studied by myself and Hironori Oya. darlin tom zanetti lyrics