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- W1569175056 abstract "In (5) a certain non-commutative algebra A was defined starting from a semi-simple algebraic group, so that the derived category of A-modules is equivalent to the derived category of coherent sheaves on the Springer (or Grothendieck-Springer) resolution. Let gy be the Langlands dual Lie algebra and let b be the corresponding affine Lie algebra, i.e.b is a central extension of gy C((t)). Using results of Frenkel and Gaitsgory we show that the category of b mod- ules at the critical level which are Iwahori integrable and have a fixed central character, is equivalent to the category of modules over a central reduction of A. This implies that numerics of Iwahori integrable modules at the critical level is governed by the canonical basis in the K-group of a Springer fiber, which was conjecturally described by Lusztig (14) and constructed in (5)." @default.
- W1569175056 created "2016-06-24" @default.
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- W1569175056 date "2012-01-01" @default.
- W1569175056 modified "2023-09-23" @default.
- W1569175056 title "Highest weight modules at the critical level and noncommutative Springer resolution" @default.
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- W1569175056 doi "https://doi.org/10.1090/conm/565/11188" @default.
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