English

(T*B)_q, q-analogue of model space and CGC generating matrices

q-alg 2009-10-28 v2 High Energy Physics - Theory Quantum Algebra

Abstract

We study relations between the deformed cotangent bundle (T*B)_q for the Borel subgroup B of a given simple Lie group G, the quantum Lie algebra J_q associated with the corresponding quantum group G_q and the matrices generating Clebsch-Gordan coefficients (CGC) for J_q. We reveal the connection of these objects to quantum analogue of the model space M and q-tensor operators.

Keywords

Cite

@article{arxiv.q-alg/9508022,
  title  = {(T*B)_q, q-analogue of model space and CGC generating matrices},
  author = {A. G. Bytsko and L. D. Faddeev},
  journal= {arXiv preprint arXiv:q-alg/9508022},
  year   = {2009}
}

Comments

27 pages, LaTeX, some improvements made