Commutative quantum current operators, semi-infinite construction and functional models

Authors:
Jintai Ding and Boris Feigin

Journal:
Represent. Theory **4** (2000), 330-341

MSC (2000):
Primary 17B37

DOI:
https://doi.org/10.1090/S1088-4165-00-00047-9

Published electronically:
August 1, 2000

MathSciNet review:
1773865

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 semi-infinite 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 45221-0025

Email:
ding@math.uc.edu

**Boris Feigin**

Affiliation:
Landau Institute of Theoretical Physics, Moscow, Russia

DOI:
https://doi.org/10.1090/S1088-4165-00-00047-9

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