Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The representation theory of noncommutative $\mathcal{O}(\text{GL}_2)$   In our companion paper "The Manin Hopf algebra of a Koszul Artin-Schelter
regular algebra is quasi-hereditary" we used the Tannaka-Krein formalism to
study the universal coacting Hopf algebra aut(A) for a Koszul Artin-Schelter
regular algebra A. In this paper we study in detail the case A=k[x,y]. In
particular we give a more precise description of the standard and costandard
representations of aut(A) as a coalgebra and we show that the latter can be
obtained by induction from a Borel quotient algebra. Finally we give a
combinatorial characterization of the simple aut(A)-representations as tensor
products of end(A)-representations and their duals.

0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics