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Titlebook: Lie Theory and Geometry; In Honor of Bertram Jean-Luc Brylinski,Ranee Brylinski,Victor Kac Book 1994 Springer Science+Business Media New Y

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,Familles cohérentes sur les groupes de Lie semi-simples et restriction aux sous-groupes compacts maions on . can be restricted to .. It is an irritating fact that, without supplementary assumptions, this restriction does not determine the distribution. However, we prove here that this is true if, instead of a single invariant eigendistribution, one considers a family of invariant eigendistributio
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,The Differential Geometry of Fedosov’s Quantization,bundle of formal Weyl algebras associated to the tangent bundle of a symplectic manifold. The connection is obtained by affinizing, nonlinearizing, and iteratively flattening a given torsion free symplectic connection. In this paper, a classical analog of Fedosov’s operations on connections is analy
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,The Algebra of Chern—Simons Classes, the Poisson Bracket on it, and the Action of the Gauge Group,cture that models the case of . connections given on the vector bundle over an oriented manifold. First we construct a graded free associative algebra . with a differential .. Then we go to the space . of cyclic words of .. Certain elements of . correspond to the secondary characteristic classes ass
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The Invariants of Degree up to 6 of all ,-ary ,-ics,lly and essentially equivalently, a symmetric tensor), of degree . in . variables - an .-ary .-ic. An invariant of degree d of an .-ary .-ic is an element of . .(. .(. .)), the .-th symmetric power of the .-th symmetric power of . ., which is invariant under the natural action of .(., C) on this spa
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Tensor Products of Modules for a Vertex Operator Algebra and Vertex Tensor Categories,tructures and results in this theory, rather than on proofs, which are being presented in a series of papers beginning with [HL4] and [HL5]. An announcement has also appeared [HL1]. The theory is based on both the formal-calculus approach to vertex operator algebra theory developed in [FLM2] and [FH
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