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

Jintai Ding; Boris Feigin

doi:10.1090/S1088-4165-00-00047-9

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

Jintai Ding, Boris Feigin

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We construct the commutative current operator x +(z) inside (Formula Presented). With this operator and the condition of quantum integrability on the quantum currents of (Formula Presented), we derive the quantization of the semiin finite construction of integrable modules of (Formula Presented) which has been previously obtained by means of the current operator e(z) of (Formula Presented). The quantization of the functional models for (Formula Presented) is also given.

Original language	English
Pages (from-to)	330-341
Number of pages	12
Journal	Representation Theory
Volume	4
Issue number	13
DOIs	https://doi.org/10.1090/S1088-4165-00-00047-9
Publication status	Published - 1 Aug 2000
Externally published	Yes

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Cite this

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abstract = "We construct the commutative current operator x +(z) inside (Formula Presented). With this operator and the condition of quantum integrability on the quantum currents of (Formula Presented), we derive the quantization of the semiin finite construction of integrable modules of (Formula Presented) which has been previously obtained by means of the current operator e(z) of (Formula Presented). The quantization of the functional models for (Formula Presented) is also given.",

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AU - Feigin, Boris

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N2 - We construct the commutative current operator x +(z) inside (Formula Presented). With this operator and the condition of quantum integrability on the quantum currents of (Formula Presented), we derive the quantization of the semiin finite construction of integrable modules of (Formula Presented) which has been previously obtained by means of the current operator e(z) of (Formula Presented). The quantization of the functional models for (Formula Presented) is also given.

AB - We construct the commutative current operator x +(z) inside (Formula Presented). With this operator and the condition of quantum integrability on the quantum currents of (Formula Presented), we derive the quantization of the semiin finite construction of integrable modules of (Formula Presented) which has been previously obtained by means of the current operator e(z) of (Formula Presented). The quantization of the functional models for (Formula Presented) is also given.

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DO - 10.1090/S1088-4165-00-00047-9

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JO - Representation Theory

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

Abstract

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