Canonical basis and homology of local systems
q-alg
2008-02-03 v1 Quantum Algebra
Abstract
Using the isomorphism between highest weight U_q(sl_2)-modules and homologies of certain local systems on the configuration spaces, constructed by Varchenko, we give a geometric construction of the dual of the Lusztig's canonical basis in a tensor product of irreducible finite-dimensional U_q(sl_2)-modules.
Cite
@article{arxiv.q-alg/9703007,
title = {Canonical basis and homology of local systems},
author = {Igor Frenkel and Alexander Kirillov and Alexander Varchenko},
journal= {arXiv preprint arXiv:q-alg/9703007},
year = {2008}
}
Comments
21 pages, AMSTeX; many figures, require epsf macro package