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$U_q(sl(n))$ Difference Operator Realization

High Energy Physics - Theory 2009-10-28 v1 Quantum Algebra

Abstract

A unified and systematic scheme for constraction of differential opreator realization of any irreducible representation of sl(n)sl(n) is developed. The qq-analogue of this unified scheme is used to constract qq-difference operator realization of any irreducible representation of Uq(sl(n))U_q(sl(n)). Explicit results for Uq(sl(2))U_q(sl(2)), Uq(sl(3))U_q(sl(3)) and Uq(sl(n))U_q(sl(n)) are given.

Keywords

Cite

@article{arxiv.hep-th/9408173,
  title  = {$U_q(sl(n))$ Difference Operator Realization},
  author = {Azizollah Shafiekhani},
  journal= {arXiv preprint arXiv:hep-th/9408173},
  year   = {2009}
}

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12 pages