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20072024
most citedConstruction of quantized enveloping algebras by cocycle deformation

26 citations · 87 across the 27 of their papers we have counts for

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Showing 2008Show all

3 papers · 1 filter

math.RA2008

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…

math.QA2008

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…

math.QA2008★ 26 cited

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…