most citedConstruction of quantized enveloping algebras by cocycle deformation

26 citations · 26 across the 4 of their papers we have counts for

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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…

math.QA2007

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…