THE FAITHFUL FLATNESS OF HOPF ALGEBRAS OVER COIDEAL SUBALGEBRAS WITH CONDITIONAL EXPECTATION

Speaker(s)

JULIEN BICHON

Affiliation

Université Clermont Auvergne, France

Date

April 26, 2023, 5:15 p.m.

Information about the event

405 IMPAN & ZOOM

Seminar

North Atlantic Noncommutative Geometry Seminar

---

Faithful flatness is an algebraic concept arising from algebraic geometry and closely related to the question of forming ''good'' quotients. Also, it plays a key role in the noncommutative world, especially in Hopf-algebra theory. After a review of its use and of what is known about the question of faithful flatness over Hopf subalgebras or coideal subalgebras, I will present and explain a new result concerning the faithful flatness of a Hopf algebra over a coideal subalgebra having a conditional expectation.

---