On Noncommutative Models of Quantum Cohomology of G/B
Time: 2019-11-05
Published By: He Liu
Speaker(s): Christoph Bärligea (BICMR)
Time: 14:00-16:00 November 14, 2019
Venue: Room 29, Quan Zhai, BICMR
The quantum cohomology of G/B can be embedded into the tensor square of a certain Nichols algebra extended by polynomials. This concerns special Nichols algebras over Weyl groups associated to Yetter-Drinfeld modules whose support consists of reflections. In general, the classification of finite dimensional Nichols algebras over groups, or even Hopf algebras with invertible antipode, is an important algebra project. We give some more explicit conjectures related to the Fomin-Kirillov algebra and its braided differential calculus.
