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math.RT2021
The Drinfeld--Sokolov reduction of admissible representations of affine Lie algebras
Gurbir Dhillon
Fix an affine Lie algebra with associated principal affine W-algebra . A basic conjecture of Frenkel--Kac--Wakimoto asserts that Drinfeld-…
math.RT2021
Affine Harish-Chandra bimodules and Steinberg--Whittaker localization
Justin Campbell, Gurbir Dhillon
We construct categories of Harish-Chandra bimodules for affine Lie algebras analogous to Harish-Chandra bimodules with infinitesimal characters for simple Lie algebras, addressing…