Canonical basis and homology of local systems

Details Canonical basis and homology of local systems Canonical basis and homology of local systems

1997-03-04

arxiv.org/abs/q-alg/9703007v1

Mathematics

Quantum Algebra

21 pages, AMSTeX; many figures, require epsf macro package

Scientific paper

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.

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