# A new proof of a formula for the type A{sub 2} fusion rules

## Abstract

We give a new proof of a formula for the fusion rules for type A{sub 2} due to Bégin, Mathieu, and Walton. Our approach is to symbolically evaluate the Kac-Walton algorithm.

- Authors:

- Department of Mathematics, Fordham University, New York, New York 10023 (United States)

- Publication Date:

- OSTI Identifier:
- 22403074

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 1; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; LIE GROUPS; MATHEMATICAL SOLUTIONS; TENSORS; WEIGHT

### Citation Formats

```
Barker, Amy, Swinarski, David, E-mail: dswinarski@fordham.edu, Vogelstein, Lauren, and Wu, John.
```*A new proof of a formula for the type A{sub 2} fusion rules*. United States: N. p., 2015.
Web. doi:10.1063/1.4905794.

```
Barker, Amy, Swinarski, David, E-mail: dswinarski@fordham.edu, Vogelstein, Lauren, & Wu, John.
```*A new proof of a formula for the type A{sub 2} fusion rules*. United States. doi:10.1063/1.4905794.

```
Barker, Amy, Swinarski, David, E-mail: dswinarski@fordham.edu, Vogelstein, Lauren, and Wu, John. Thu .
"A new proof of a formula for the type A{sub 2} fusion rules". United States.
doi:10.1063/1.4905794.
```

```
@article{osti_22403074,
```

title = {A new proof of a formula for the type A{sub 2} fusion rules},

author = {Barker, Amy and Swinarski, David, E-mail: dswinarski@fordham.edu and Vogelstein, Lauren and Wu, John},

abstractNote = {We give a new proof of a formula for the fusion rules for type A{sub 2} due to Bégin, Mathieu, and Walton. Our approach is to symbolically evaluate the Kac-Walton algorithm.},

doi = {10.1063/1.4905794},

journal = {Journal of Mathematical Physics},

number = 1,

volume = 56,

place = {United States},

year = {Thu Jan 15 00:00:00 EST 2015},

month = {Thu Jan 15 00:00:00 EST 2015}

}

DOI: 10.1063/1.4905794

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