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- W2173092616 abstract "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." @default.
- W2173092616 created "2016-06-24" @default.
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- W2173092616 date "2015-09-13" @default.
- W2173092616 modified "2023-09-27" @default.
- W2173092616 title "The representation theory of noncommutative $mathcal{O}(text{GL}_2)$" @default.
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