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- W4289543230 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 Fr'echet-Stein algebras. We then introduce an analogue of the BGG category $mathcal{O}$ for the quantum Arens-Michael envelope and show that it is equivalent to the category $mathcal{O}$ for the corresponding quantized enveloping algebra." @default.
- W4289543230 created "2022-08-03" @default.
- W4289543230 creator A5084363443 @default.
- W4289543230 date "2018-09-17" @default.
- W4289543230 modified "2023-09-26" @default.
- W4289543230 title "Rigid analytic quantum groups and quantum Arens-Michael envelopes" @default.
- W4289543230 doi "https://doi.org/10.48550/arxiv.1809.06177" @default.
- W4289543230 hasPublicationYear "2018" @default.
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