Equivariant quantization of Poisson homogeneous spaces and Kostant's problem
Journal article, 2014

We find a partial solution to the longstanding problem of Kostant concerning description of the so-called locally finite endomorphisms of highest weight irreducible modules. The solution is obtained by means of its reduction to a far-reaching extension of the quantization problem. While the classical quantization problem consists in finding *product deformations of the commutative algebras of functions, we consider the case when the initial object is already a noncommutative algebra, the algebra of functions within q-calculus.

Quantized universal enveloping algebra

Highest weight module

Equivariant quantization

Kostant's problem

Reduced fusion element

Author

E. Karolinsky

Alexander Stolin

Chalmers, Mathematical Sciences

University of Gothenburg

V. Tarasov

Journal of Algebra

0021-8693 (ISSN) 1090-266X (eISSN)

Vol. 409 362-381

Subject Categories

Mathematics

DOI

10.1016/j.jalgebra.2014.03.033

More information

Created

10/7/2017