Titlebook: Studies in Memory of Issai Schur; Anthony Joseph,Anna Melnikov,Rudolf Rentschler Book 2003 Springer Science+Business Media New York 2003 C

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https://doi.org/10.1007/978-1-4612-0045-1Cohomology; Dirac; Representation theory; algebra; homology; math physics

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Studies in Memory of Issai Schur978-1-4612-0045-1Series ISSN 0743-1643 Series E-ISSN 2296-505X

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Dirac Cohomology for the Cubic Dirac Operator,and Z(g) be, respectively, the centers of the enveloping algebras of.and.. Using a Harish-Chandra isomorphism one has a homomorphism.which, by a well-known result of H. Cartan, yields the the relative Lie algebra cohomology .(..

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sperse

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expunge

Induced Representations of Affine Hecke Algebras and Canonical Bases of Quantum Groups,A criterion of irreducibility for induction products of evaluation modules of type A affine Hecke algebras is given. It is derived from multiplicative properties of the canonical basis of a quantum deformation of the Bernstein—Zelevinsky ring.

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Constructible Functions on Varieties Attached to Quivers,Let . be the enveloping algebra of a simple Lie algebra and let ., . be two simple finite-dimensional U-modules. (The ground field is the complex numbers.) We give a geometric realization of the tensor product of . and . in terms of constructible functions and we define a semicanonical basis of this tensor product.

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