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- W1554260385 abstract "Let g be a semisimple Lie algebra over an algebraically closed field K of characteristic 0 and O be a nilpotent orbit in g. Then Orb is a symplectic algebraic variety and one can ask whether it is possible to quantize $Orb$ (in an appropriate sense) and, if so, how to classify the quantizations. On the other hand, for the pair (g,O) one can construct an associative algebra W called a (finite) W-algebra. The goal of this paper is to clarify a relationship between quantizations of O (and of its coverings) and 1-dimensional W-modules. In the first approximation, our result is that there is a one-to-one correspondence between the two. The result is not new: it was discovered (in a different form) by Moeglin in the 80's." @default.
- W1554260385 created "2016-06-24" @default.
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- W1554260385 date "2010-04-10" @default.
- W1554260385 modified "2023-09-27" @default.
- W1554260385 title "Quantizations of nilpotent orbits vs 1-dimensional representations of W-algebras" @default.
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