# 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:

- Department of Computer Science, Zhejiang Education Institute, Hangzhou, Zhejiang 310012 (China) and Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang 310027 (China)
- (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}

}

DOI: 10.1063/1.2436732

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