Conference talk entitled 'Losev–Premet ideals'

Activity: Academic and Industrial eventsGuest lecture or Invited talk


Abstract of talk:

Losev-Premet ideals are certain primitive ideals in the universal enveloping algebras of complex reductive Lie algebras. Over the last 20 years, they have arisen in the literature from two principal directions. Firstly, they arise in the work of Losev and Premet on 1-dimensional modules for finite W-
algebras. Secondly, they arise in the work of Losev, Mason-Brown, and Matvieievskyi on Hamiltonian quantizations of (normalizations of) nilpotent orbits and nilpotent orbit covers. Losev-Premet ideals in the latter context are used to define a notion of unipotent representations for complex reductive
algebraic groups. This talk will survey this history, and give some new results on Losev-Premet ideals.
Period25 Oct 2022
Event titleIV International Workshop on Non-Associative Algebras in Covilhã
Event typeConference
LocationCovilha, PortugalShow on map
Degree of RecognitionInternational