The tale of Kostant's problem

2023/08/05 by Mazorchuk, Volodymyr · 1 citation
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2308.02839

Abstract

This is a survey paper presenting the history and both old and new results related to Kostant's problem. This problem asks for which modules over a semi-simple finite dimensional complex Lie algebra, the universal enveloping algebra surjects onto the algebra of adjointly locally finite linear endomorphism.

Cited by

• Hecke combinatorics, Kåhrström's conditions and Kostant's problem

Related

• Kostant's problem and parabolic subgroups
• Kostant theorem for special filtered algebras
• Kostant modules in blocks of category \mathcal O_S
• Almost all permutations and involutions are Kostant negative
• Kostant's problem for Whittaker modules