Thomas Booker
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Thomas Booker has a total of 1 co-authors. Here are the top co-authors by number of shared publications:
- Alexei Davydov
Ohio University
2 shared publications
Latest Publications
- 1 April 2012
- Published by Elsevier in Journal of Algebra
- Vol. 355 (1) , 176-204
Commutative algebras in Fibonacci categories
- 1 April 2012
- Published by Elsevier in Journal of Algebra
- Vol. 355 (1) , 176-204
Commutative algebras in Fibonacci categories
- Open Access
Commutative Algebras in Fibonacci Categories
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.
Open AccessCommutative Algebras in Fibonacci Categories
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.