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- W2130624880 abstract "Let g be a finite dimensional complex semi-simple Lie algebra with Weyl group W and simple reflections S. For I subset of S let g(I) be the corresponding semi-simple subalgebra of g. Denote by W-I the Weyl group of g(I) and let w(o) and w(o)(I) be the longest elements of W and W-I, respectively In this paper we show that the answer to Kostant's problem, i.e. whether the Universal enveloping algebra subjects onto the space of all ad-finite linear transformations of a given module, is the same for the simple highest weight g(I)-module L-I(x) of highest weight x . 0, x is an element of W-I, as the answer for the simple highest weight g-module L(xw(o)(l)w(o)) of highest weight xw(o)(I)w(o). 0. We also give a new description Of the unique quasi-simple quotient of the Verma module Delta(e) with the same annihilator as L(y), y is an element of W." @default.
- W2130624880 created "2016-06-24" @default.
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- W2130624880 date "2008-01-01" @default.
- W2130624880 modified "2023-09-24" @default.
- W2130624880 title "Tensor Products on Category O and Kostant's Problem" @default.
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