Commutative quantum current operators, semiinfinite construction and functional models
Authors:
Jintai Ding and Boris Feigin
Journal:
Represent. Theory 4 (2000), 330341
MSC (2000):
Primary 17B37
Published electronically:
August 1, 2000
MathSciNet review:
1773865
Fulltext PDF Free Access
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Abstract: We construct the commutative current operator inside . With this operator and the condition of quantum integrability on the quantum currents of , we derive the quantization of the semiinfinite construction of integrable modules of which has been previously obtained by means of the current operator of . The quantization of the functional models for is also given.
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Additional Information
Jintai Ding
Affiliation:
Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio 452210025
Email:
ding@math.uc.edu
Boris Feigin
Affiliation:
Landau Institute of Theoretical Physics, Moscow, Russia
DOI:
http://dx.doi.org/10.1090/S1088416500000479
PII:
S 10884165(00)000479
Received by editor(s):
April 17, 1998
Received by editor(s) in revised form:
January 14, 2000
Published electronically:
August 1, 2000
Article copyright:
© Copyright 2000
American Mathematical Society
