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Title: Weak quantum Borcherds superalgebras and their representations

Abstract

We define a weak quantum Borcherds superalgebra n{sub q}{sup d}(G), which is a weak Hopf superalgebra. We also discuss the basis and the highest weight modules of n{sub q}{sup d}(G). Then we study the weak A-form and the classical limit of n{sub q}{sup d}(G)

Authors:
;  [1];  [2]
  1. Department of Computer Science, Zhejiang Education Institute, Hangzhou, Zhejiang 310012 (China) and Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang 310027 (China)
  2. (China)
Publication Date:
OSTI Identifier:
20929640
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 2; Other Information: DOI: 10.1063/1.2436732; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; QUANTUM FIELD THEORY; QUANTUM MECHANICS; SUPERSYMMETRY

Citation Formats

Ye Lixia, Li Fang, and Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang 310027. Weak quantum Borcherds superalgebras and their representations. United States: N. p., 2007. Web. doi:10.1063/1.2436732.
Ye Lixia, Li Fang, & Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang 310027. Weak quantum Borcherds superalgebras and their representations. United States. doi:10.1063/1.2436732.
Ye Lixia, Li Fang, and Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang 310027. Thu . "Weak quantum Borcherds superalgebras and their representations". United States. doi:10.1063/1.2436732.
@article{osti_20929640,
title = {Weak quantum Borcherds superalgebras and their representations},
author = {Ye Lixia and Li Fang and Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang 310027},
abstractNote = {We define a weak quantum Borcherds superalgebra n{sub q}{sup d}(G), which is a weak Hopf superalgebra. We also discuss the basis and the highest weight modules of n{sub q}{sup d}(G). Then we study the weak A-form and the classical limit of n{sub q}{sup d}(G)},
doi = {10.1063/1.2436732},
journal = {Journal of Mathematical Physics},
number = 2,
volume = 48,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}