Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/180370
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- Title
- Commutative algebras in Fibonacci categories
- Related
- Journal of algebra, Vol. 355, No. 1, (2012), p.176-204
- DOI
- 10.1016/j.jalgebra.2011.12.029
- Publisher
- Elsevier
- Date
- 2012
- Author/Creator
- Booker, Thomas
- Author/Creator
- Davydov, Alexei
- Description
- By studying NIM-representations we show that the Fibonacci category and its tensor powers are completely anisotropic; that is, they do not have any non-trivial separable commutative ribbon algebras. As an application we deduce that a chiral algebra with the representation category equivalent to a product of Fibonacci categories is maximal; that is, it is not a proper subalgebra of another chiral algebra. In particular the chiral algebras of the Yang–Lee model, the WZW models of G₂ and F₄ at level 1, as well as their tensor powers, are maximal.
- Description
- 29 page(s)
- Subject Keyword
- Fusion category
- Subject Keyword
- Modular category
- Subject Keyword
- Vertex operator algebra
- Resource Type
- journal article
- Organisation
- Macquarie University. Dept. of Mathematics
- Identifier
- http://hdl.handle.net/1959.14/180370
- Identifier
- ISSN:0021-8693
- Identifier
- mq_res-ext-2-s2.0-84856969407
- Language
- eng
- Reviewed
