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A Conjectural Presentation of Fusion Algebras by Boysal, Arzu; Kumar, Shrawan is a scholarly article available to read on EtoBox.

What is A Conjectural Presentation of Fusion Algebras about?

Let g be a semisimple Lie algebra over the complex numbers. Fix a positive integer l (called the level). Let R(l,g) be the fusion algebra at level l. Then, there is an algebra homomorphism from the representation ring R(g) of g to R(l,g). We study a presentation of its kernel. The generators for the kernel were given by Gepner, Gepner-Schwimmer, Bourdeau-Mlawer-Riggs-Schnitzer for g of type A and C series. We make a conjecture for other classical groups and also for g of type G2. We also have some partial results for F4 and E series.

Author

Boysal, Arzu; Kumar, Shrawan

Published

2008

Language

EN