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


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

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