Two-parameter quantum affine algebra of type Cn(1), Drinfeld realization and vertex representation

Naihong Hu; Honglian Zhang

doi:10.1016/j.jalgebra.2016.03.031

Two-parameter quantum affine algebra of type C_n⁽¹⁾, Drinfeld realization and vertex representation

Naihong Hu
, Honglian Zhang^*

^*Corresponding author for this work

School of Mathematical Sciences

Shanghai University

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

8 Scopus citations

Abstract

The two-parameter quantum vertex operator representation of level-one is explicitly constructed for U_r,s(C_n⁽¹⁾) based on its two-parameter Drinfeld realization we give. This construction will be degenerated to the one-parameter case of Jing-Koyama-Misra [27] when rs = 1.

Original language	English
Pages (from-to)	43-75
Number of pages	33
Journal	Journal of Algebra
Volume	459
DOIs	https://doi.org/10.1016/j.jalgebra.2016.03.031
State	Published - 1 Aug 2016

Keywords

Drinfeld realization
Two-parameter quantum affine algebra
Vertex representation

Access to Document

10.1016/j.jalgebra.2016.03.031

Cite this

@article{6563fb684aa2419f9d916a8c518f2fef,

title = "Two-parameter quantum affine algebra of type Cn(1), Drinfeld realization and vertex representation",

abstract = "The two-parameter quantum vertex operator representation of level-one is explicitly constructed for Ur,s(Cn(1)) based on its two-parameter Drinfeld realization we give. This construction will be degenerated to the one-parameter case of Jing-Koyama-Misra [27] when rs = 1.",

keywords = "Drinfeld realization, Two-parameter quantum affine algebra, Vertex representation",

author = "Naihong Hu and Honglian Zhang",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2016",

month = aug,

day = "1",

doi = "10.1016/j.jalgebra.2016.03.031",

language = "英语",

volume = "459",

pages = "43--75",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Two-parameter quantum affine algebra of type Cn(1), Drinfeld realization and vertex representation

AU - Hu, Naihong

AU - Zhang, Honglian

PY - 2016/8/1

Y1 - 2016/8/1

N2 - The two-parameter quantum vertex operator representation of level-one is explicitly constructed for Ur,s(Cn(1)) based on its two-parameter Drinfeld realization we give. This construction will be degenerated to the one-parameter case of Jing-Koyama-Misra [27] when rs = 1.

AB - The two-parameter quantum vertex operator representation of level-one is explicitly constructed for Ur,s(Cn(1)) based on its two-parameter Drinfeld realization we give. This construction will be degenerated to the one-parameter case of Jing-Koyama-Misra [27] when rs = 1.

KW - Drinfeld realization

KW - Two-parameter quantum affine algebra

KW - Vertex representation

UR - https://www.scopus.com/pages/publications/84964389185

U2 - 10.1016/j.jalgebra.2016.03.031

DO - 10.1016/j.jalgebra.2016.03.031

M3 - 文章

AN - SCOPUS:84964389185

SN - 0021-8693

VL - 459

SP - 43

EP - 75

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Two-parameter quantum affine algebra of type C_n⁽¹⁾, Drinfeld realization and vertex representation

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this