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arXiv · q-alg/9703007

Canonical basis and homology of local systems

Igor Frenkel·Alexander Kirillov Jr.·Alexander Varchenko
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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.

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BibTeXRIS

Igor Frenkel, Alexander Kirillov Jr., Alexander Varchenko. 1997-03-04. Canonical basis and homology of local systems. https://arxiv.org/abs/q-alg/9703007

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