English

On fusion procedure for the two-parameter quantum algebra in type A

Quantum Algebra 2019-03-12 v4 Mathematical Physics math.MP Representation Theory

Abstract

Finite dimensional irreducible modules of the two-parameter quantum enveloping algebra Ur,s(sln)U_{r,s}(\mathfrak{sl}_n) are explicitly constructed using the fusion procedure when rs1rs^{-1} is generic. This provides an alternative and combinatorial description of the Schur-Weyl duality for the two-parameter quantum linear algebras of type AA.

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Cite

@article{arxiv.1402.3665,
  title  = {On fusion procedure for the two-parameter quantum algebra in type A},
  author = {Naihuan Jing and Ming Liu},
  journal= {arXiv preprint arXiv:1402.3665},
  year   = {2019}
}

Comments

12 pages. New title and updated version

R2 v1 2026-06-22T03:08:52.349Z