26 citations · 87 across the 27 of their papers we have counts for
4 papers · 1 filter
Smoothness of commutative Hopf algebras
Kensuke Egami, Akira Masuoka, Kenta Suzuki
Hopf algebras, most generally in a semisimple abelian symmetric monoidal category, are here supposed to be commutative but not to be of finite-type, and their (equivariant) smoothn…
Twisted forms of differential Lie algebras over associated with complex simple Lie algebras
Akira Masuoka, Yuta Shimada
Discussed here is descent theory in the differential context where everything is equipped with a differential operator. To answer a question personally posed by A. Pianzola, we det…
Mini-course on Hopf algebras--Hopf crossed products--
Akira Masuoka
Hopf crossed products, or in other words, cleft comodule algebras form a special but important class in Hopf-Galois extensions. To discuss this interesting subject, we will start w…
Semisimplicity criteria for irreducible Hopf algebras in positive characteristic
Akira Masuoka
We prove that a finite-dimensional irreducible Hopf algebra in positive characteristic is semisimple, if and only if it is commutative and semisimple, if and only if the restri…