English

De Concini-Kac filtration and Gelfand-Tsetlin generators for quantum gl_N

Representation Theory 2020-06-09 v2 Quantum Algebra Rings and Algebras

Abstract

In this note we compute the leading term with respect to the De Concini-Kac filtration of Uq(gln)U_q(\mathfrak{gl}_n) of a generating set for the quantum Gelfand-Tsetlin subalgebra.

Keywords

Cite

@article{arxiv.1203.4793,
  title  = {De Concini-Kac filtration and Gelfand-Tsetlin generators for quantum gl_N},
  author = {Vyacheslav Futorny and Jonas T. Hartwig},
  journal= {arXiv preprint arXiv:1203.4793},
  year   = {2020}
}

Comments

12 pages. v2: The statement about the quantum Gelfand-Tsetlin subalgebra being maximal commutative has been removed as an error was found in the proof