dorsal/arxiv
View SchemaCanonical basis and homology of local systems
| Authors | Igor Frenkel, Alexander Kirillov Jr., Alexander Varchenko |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9703007 |
| URL | https://arxiv.org/abs/q-alg/9703007 |
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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"record": {
"abstract": "Using the isomorphism between highest weight U_q(sl_2)-modules and homologies\nof certain local systems on the configuration spaces, constructed by Varchenko,\nwe give a geometric construction of the dual of the Lusztig\u0027s canonical basis\nin a tensor product of irreducible finite-dimensional U_q(sl_2)-modules.",
"arxiv_id": "q-alg/9703007",
"authors": [
"Igor Frenkel",
"Alexander Kirillov Jr.",
"Alexander Varchenko"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Canonical basis and homology of local systems",
"url": "https://arxiv.org/abs/q-alg/9703007"
},
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