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Titlebook: Studies in Lie Theory; Dedicated to A. Jose Joseph Bernstein,Vladimir Hinich,Anna Melnikov Book 2006 Birkhäuser Boston 2006 Cohomology.Irre

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楼主: nourish
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Modules with a Demazure flag985 was to show that the tensor product of a one-dimensional Demazure module with an arbitrary one admits a Demazure flag, that is, a filtration whose quotients are Demazure modules. This was shown by P. Polo (who called such filtrations “excellent”) in a large number of cases including positive cha
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Microlocalization of ind-sheavesded derived category of ind-sheaves of vector spaces on . over a field .. This functor satisfies Rℌ.(..(.), ..(.)), ⋍ .(.,.) for any .,. ∈ D.(.), thus generalizing the classical theory of microlocalization. Then we discuss the functoriality of ... The main result is the existence of a microlocal con
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Gelfand-Zeitlin theory from the perspective of classical mechanics. Iorm (.) = −tr .. The .(.) adjoint orbits are the symplectic leaves and the algebra, .(.), of polynomial functions on .(.) is a Poisson algebra. In particular, if . ∈ .(.), then there is a corresponding vector field .. on .(.). If . ≤ ., then .(.) embeds as a Lie subalgebra of .(.) (upper left hand b
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Extensions of algebraic groupsphisms. The aim of this article is to study the group of isomorphism classes of extensions of . by . in the algebraic group category. We describe this group as a direct sum of the group Hom (..([.]), .) and a relative Lie algebra cohomology space. We also prove a version of Van Est’s theorem for alg
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A ,-analogue of an identity of N. Wallache and the identity. He showed that multiplication by this element has eigenvalues 0, 1, 2, . . . , . −2, .. We prove an analogous result in which the group algebra of .. is replaced by the corresponding Hecke algebra.
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