Australian Category Seminar

Quantum groups and Hopf algebras in combinatorics

Marcelo Aguiarยท22 Feburary 2010

This talk will review the construction of quantum groups (deformations of simple Lie algebras) via quantum symmetric algebras, and explain how it can be extended by introducing a combinatorial structure in the form of a species, as defined by Joyal. This will lead us into the consideration of Hopf monoids in species, a notion that will be defined and for which examples will be given. Very little knowledge of any of the above notions will be assumed.

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