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researcher

A. Premet

27 papers hereh-index 282k citations63 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author12
  • first author9
  • middle author2
  • last author4

Across the 27 of 27 papers where every author was matched, so the position is known.

fields
  • math.RT19
  • math.RA7
  • math.GR1

identity via Semantic Scholar / OpenAlex

activity
20032024
most citedNilpotent commuting varieties of reductive Lie algebras

53 citations · 152 across the 25 of their papers we have counts for

collaborators
Showing 2006 · math.RTShow all

2 papers · 2 filters

math.RT2006★ 1 cited

Primitive ideals, non-restricted representations and finite W-algebras

Alexander Premet

We prove that all finite W-algebras associated with nilpotent elements e in a complex semisimple Lie algebra g have finite-dimensional representations. In order to obtain this resu…

math.RT2006

On symmetric invariants of centralisers in reductive Lie algebras

D. Panyushev, A. Premet, O. Yakimova

Let ge​ be the centraliser of a nilpotent element e in a finite dimensional simple Lie algebra g of rank l over an algebraically closed field of characteristic 0. We invest…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.