Rigid analytic quantum groups and quantum Arens-Michael envelopes
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Dupré, Nicolas
Abstract
We introduce a rigid analytification of the quantized coordinate algebra of a semisimple algebraic group and a quantized Arens-Michael envelope of the enveloping algebra of the corresponding Lie algebra, working over a non-archimedean field and when q is not a root of unity. We show that these analytic quantum groups are topological Hopf algebras and Fréchet-Stein algebras. We then introduce an analogue of the BGG category
Description
Keywords
4902 Mathematical Physics, 4904 Pure Mathematics, 49 Mathematical Sciences
Journal Title
Journal of Algebra
Conference Name
Journal ISSN
0021-8693
Volume Title
537
Publisher
Elsevier BV
Publisher DOI
Sponsorship
EPSRC (1513242)