Abelian and non-abelian second cohomologies of quantized enveloping algebras
Quantum Algebra
2008-04-21 v4
Abstract
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-standard method of computing the abelian second cohomology that derives information from the non-abelian second cohomology classifying cleft extensions. As a sample computation, a quantum analogue of Whitehead's second lemma for Lie-algebra cohomology is proved.
Keywords
Cite
@article{arxiv.0708.1982,
title = {Abelian and non-abelian second cohomologies of quantized enveloping algebras},
author = {Akira Masuoka},
journal= {arXiv preprint arXiv:0708.1982},
year = {2008}
}
Comments
40 Pages, the final version to appear in J. Algebra; mainly, typos corrected