Canonical basis and homology of local systems

1997/03/04 by Igor Frenkel, Alexander Kirillov Jr., Frenkel, Igor +4
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9703007

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

arxiv created 1997/03/04 · arxiv updated 2009/11/30

Abstract

Using the isomorphism between highest weight U_q(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 U_q(sl₂)-modules.

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