A twisted quantum toroidal algebra

Naihuan Jing; Rongjia Liu

doi:10.1007/s11464-013-0316-8

Front. Math. China ›› 2013, Vol. 8 ›› Issue (5) : 1117 -1128. DOI: 10.1007/s11464-013-0316-8

Research Article

RESEARCH ARTICLE

A twisted quantum toroidal algebra

Naihuan Jing ¹^,²
, Rongjia Liu ¹^,^b

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Abstract

As an analog of the quantum TKK algebra, a twisted quantum toroidal algebra of type A₁ is introduced. Explicit realization of the new quantum TKK algebra is constructed with the help of twisted quantum vertex operators over a Fock space.

Keywords

Vertex operator / toroidal algebra / quantum algebra

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Naihuan Jing, Rongjia Liu. A twisted quantum toroidal algebra. Front. Math. China, 2013, 8(5): 1117-1128 DOI:10.1007/s11464-013-0316-8

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