Spinor representations of Uq(ĝl(n)) and quantum boson-fermion correspondence

Jintai Ding

doi:10.1007/s002200050535

Spinor representations of U_q(ĝl(n)) and quantum boson-fermion correspondence

Jintai Ding^*

^*Corresponding author for this work

Kyoto University

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

6 Citations (Scopus)

Abstract

This is an extension of quantum spinor construction in [DF2]. We define quantum affine Clifford algebras based on the tensor product of a finite dimensional representation and an infinite highest weight representation of U_q(ĝl(n)) and the solutions of q-KZ equations, construct quantum spinor representations of U_q(ĝl(n)) and explain classical and quantum boson-fermion correspondence.

Original language	English
Pages (from-to)	399-420
Number of pages	22
Journal	Communications in Mathematical Physics
Volume	200
Issue number	2
DOIs	https://doi.org/10.1007/s002200050535
Publication status	Published - 1999
Externally published	Yes

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abstract = "This is an extension of quantum spinor construction in [DF2]. We define quantum affine Clifford algebras based on the tensor product of a finite dimensional representation and an infinite highest weight representation of Uq(ĝl(n)) and the solutions of q-KZ equations, construct quantum spinor representations of Uq(ĝl(n)) and explain classical and quantum boson-fermion correspondence.",

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AB - This is an extension of quantum spinor construction in [DF2]. We define quantum affine Clifford algebras based on the tensor product of a finite dimensional representation and an infinite highest weight representation of Uq(ĝl(n)) and the solutions of q-KZ equations, construct quantum spinor representations of Uq(ĝl(n)) and explain classical and quantum boson-fermion correspondence.

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IS - 2

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Spinor representations of U_q(ĝl(n)) and quantum boson-fermion correspondence

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