26 citations · 87 across the 27 of their papers we have counts for
11 papers · 1 filter
Simple modules over finite quantum groups and their Drinfel'd doubles
Akira Masuoka, Atsuya Nakazawa
By finite quantum groups we mean Lusztig's finite-dimensional pointed Hopf algebras called quantum Frobenius Kernels [9, 10], and their natural generalizations due to Andruskiewits…
Toward quantization of Galois theory
Akira Masuoka, Katsunori Saito, Hiroshi Umemura
This note is a development of our two previous papers, arXiv:1212.3392v1 and 1306.3660v1. The fundamental question is whether there exists a Galois theory, in which the Galois grou…
The Noether problem for Hopf algebras
Christian Kassel, Akira Masuoka
In previous work, Eli Aljadeff and the first-named author attached an algebra B_H of rational fractions to each Hopf algebra H. The generalized Noether problem is the following: fo…
-Bialgebras associated with iterative -difference rings
Akira Masuoka, Makoto Yanagawa
Realizing the possibility suggested by Hardouin [6], we show that her own Picard-Vessiot Theory for iterative -difference rings is covered by the (consequently, more general) fr…
Lifting via cocycle deformation
Nicolás Andruskiewitsch, Iván Angiono, Agustín García Iglesias +2
We develop a strategy to compute all liftings of a Nichols algebra over a finite dimensional cosemisimple Hopf algebra. We produce them as cocycle deformations of the bosonization…
Twisting algebras using non-commutative torsors
Pierre Guillot, Christian Kassel, Akira Masuoka
Non-commutative torsors (equivalently, two-cocycles) for a Hopf algebra can be used to twist comodule algebras. After surveying and extending the literature on the subject, we prov…