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Journal Articles Transactions of the American Mathematical Society Year : 2016

Hopf algebras having a dense big cell

Abstract

We discuss some axioms that ensure that a Hopf algebra has its simple comodules classified using an analogue of the Borel-Weil construction. More precisely we show that a Hopf algebra having a dense big cell satisfies the above requirement. This method has its roots in the work of Parshall and Wang in the case of q-deformed quantum groups GL and SL. Here we examine the example of universal cosovereign Hopf algebras, for which the weight group is the free group on two generators.
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Dates and versions

hal-00843969 , version 1 (12-07-2013)
hal-00843969 , version 2 (03-12-2013)

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Cite

Julien Bichon, Simon Riche. Hopf algebras having a dense big cell. Transactions of the American Mathematical Society, 2016, 368. ⟨hal-00843969v2⟩
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