Canonical basis and homology of local systems
Igor Frenkel, Alexander Kirillov, Alexander Varchenko
Abstract
Using the isomorphism between highest weight Uq(sl2)-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 Uq(sl2)-modules.
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