Non-simply laced quantum affine algebras and cluster algebras
Presenter
November 1, 2012
Keywords:
- algebraic combinatorics
- commutative algebra
- cluster algebra
- quantum groups
- monoidal category
- Dynkin diagrams
- T-systems
- simply-laced Dynkin diagrams
MSC:
- 13F60
- 13F55
- 13-55
- 13-xx
- 13Fxx
- 05-xx
- 06-xx
- 17B37
- 17B22
- 18D10
Abstract
Monoidal categorifications of cluster algebras using simply-laced quantum affine algebras have been established. In this talk, we will present new connections between cluster algebras and the representation theory of non-simply-laced quantum affine algebras. Joint with B. Leclerc.