Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantized hyperalgebras of rank 1   We study the algebra $U_{\zeta}$ obtained via Lusztig's `integral' form [Lu
1, 2] of the generic quantum algebra for the Lie algebra $\frak {g=sl}_2$
modulo the two-sided ideal generated by $K^l-1$. We show that $U_{\zeta}$ is a
smash product of the quantum deformation of the restricted universal enveloping
algebra $\bold u_{\zeta}$ of $\frak g$ and the ordinary universal enveloping
algebra $U$ of $\frak g$, and we compute the primitive (= prime) ideals of
$\Uz$. Next we describe a decomposition of $\bold u_{\zeta}$ into the simple
$U$- submodules, which leads to an explicit formula for the center and the
indecomposable direct summands of $\Uz$. We conclude with a description of the
lattice of cofinite ideals of $\Uz$ in terms of a unique set of lattice
generators.

1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics