Commutative quantum current operators, semiinfinite construction and functional models
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 by Jintai Ding and Boris Feigin PDF
 Represent. Theory 4 (2000), 330341 Request permission
Abstract:
We construct the commutative current operator $\bar x^+(z)$ inside $U_q(\hat {\mathfrak {sl}}(2))$. With this operator and the condition of quantum integrability on the quantum currents of $U_q(\hat {\mathfrak {sl}}(2))$, we derive the quantization of the semiinfinite construction of integrable modules of $\hat {\mathfrak {sl}}(2)$ which has been previously obtained by means of the current operator $e(z)$ of $\hat {\mathfrak {sl}}(2)$. The quantization of the functional models for $\hat {\mathfrak {sl}}(2)$ is also given.References

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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
 Received by editor(s): April 17, 1998
 Received by editor(s) in revised form: January 14, 2000
 Published electronically: August 1, 2000
 © Copyright 2000 American Mathematical Society
 Journal: Represent. Theory 4 (2000), 330341
 MSC (2000): Primary 17B37
 DOI: https://doi.org/10.1090/S1088416500000479
 MathSciNet review: 1773865