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- W2969081462 abstract "Let $mathfrak{g}$ be a semisimple complex Lie algebra, and let $W$ be a finite subgroup of $mathbb{C}$-algebra automorphisms of the enveloping algebra $U(mathfrak{g})$. We show that the derived category of $U(mathfrak{g})^W$-modules determines isomorphism classes of both $mathfrak{g}$ and $W.$ Our proofs are based on the geometry of the Zassenhaus variety of the reduction modulo $pgg 0$ of $mathfrak{g}.$ Specifically, we use non-existence of certain 'etale coverings of its smooth locus" @default.
- W2969081462 created "2019-08-22" @default.
- W2969081462 creator A5071143950 @default.
- W2969081462 date "2019-08-19" @default.
- W2969081462 modified "2023-09-27" @default.
- W2969081462 title "Derived invariants of the fixed ring of enveloping algebras of semisimple Lie algebras." @default.
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