26 citations · 26 across the 4 of their papers we have counts for
4 papers
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…
Generalized -boson algebras and their integrable modules
Akira Masuoka
We define the generalized -boson algebra $ \cmdB$ associated to a pair of Nichols algebras and a skew pairing. We study integrable $ \cmdB$-modules, generalizing results by M. K…
Construction of quantized enveloping algebras by cocycle deformation
Akira Masuoka
By using cocycle deformation, we construct a certain class of Hopf algebras, containing the quantized enveloping algebras and their analogues, from what we call pre-Nichols algebra…
Abelian and non-abelian second cohomologies of quantized enveloping algebras
Akira Masuoka
For a class of pointed Hopf algebras including the quantized enveloping algebras, we discuss cleft extensions, cocycle deformations and the second cohomology. We present such a non…