We derive a system of differential equations satisfied by such a function. In particular, the calculation of $q\\\frac{\\\d} {\\\d q} F$ yields a parabolic second order PDE closely related to the heat equation on the compact Lie group corresponding to $\\\g$. We consider in detail ...
Representations of Lie Algebras 作者:Henderson, Anthony 出版年:2012-8 页数:168 定价:$ 56.50 ISBN:9781107653610 豆瓣评分 目前无人评价 评价: 写笔记 写书评 加入购书单 分享到 推荐 + 加入购书单
OFDOUBLEAFFINEHECKEALGEBRAS IVANCHEREDNIK † Contents 1.AffineWeylgroups4 2.DoubleHeckealgebras7 3.Macdonaldpolynomials10 4.Theradical13 5.Theirreducibility14 6.Anon-semisimpleexample17 References20 Inthepaper,weprovethatthequotientofthepolynomialrepre- sentationofthedoubleaffineHeckealgebra(DAHA)by...
Imitating the construction of affine Kac-Moody algebras, one can then consider affinisations of t, that is, double extensions of (twisted) loop algebras over t. Such an affinisation g of t possesses a root space decomposition with respect to some Cartan subalgebra h, whose corresponding root...
Lie algebra. The author's exposition is focused on this goal rather than aiming at the widest generality and emphasis is placed on explicit calculations with bases and matrices. The book begins with a motivating chapter explaining the context and relevance of Lie algebras and their representations ...
The author introduces the notion of a double ... S Majid 被引量: 190发表: 1991年 Hom–Lie algebras with symmetric invariant nondegenerate bilinear forms The aim of this paper is to introduce and study quadratic Hom–Lie algebras, which are Hom–Lie algebras equipped with symmetric invariant ...
Graduate Studies in Mathematics(共212册),这套丛书还有 《Foliations II (Graduate Studies in Mathematics Series Volume 60)》《Dynamical Systems and Linear Algebra》《A Course in Approximation Theory》《4-Manifolds and Kirby Calculus》《An Epsilon of Room, I》等。 喜欢读"Representations of Semisimple...
motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C) an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras ...
The aim of this note is to show that the affine Lie algebraA 1 (1) has a natural family πμ, υ,v of Fock representations on the spaceC[x i,y
Representations of solvable Lie algebras. II: Twisted group rings This paper may be regarded as either an introduction to or a continuation of [4]. In [4] it was shown that the simple algebras which arise in the representation theory of solvable Lie algebras could be viewed as algebras of ...