Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abelian and non-abelian second cohomologies of quantized enveloping
  algebras   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.

19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin