3
$\begingroup$

Drinfeld-Jimbo's quantum groups are associated algebras over the field of complex numbers. Are there some references about the analogue of Drinfeld-Jimbo's quantum groups over a p-adic field or a finite field. I searched on google but did not find the references. Thank you very much.

Improve this question
$\endgroup$
1
  • 1
    $\begingroup$ I think Lusztig's book gives a construction over $\mathbb{Z}[q,q^{-1}]$. $\endgroup$
    – S. Carnahan ♦
    Commented Oct 7, 2016 at 5:05

1 Answer 1

Reset to default
3
$\begingroup$

I don't know if this the kind of thing you're looking at, but for the rigid analytic context there's some work of Yan Soibelman that might be relevant: https://arxiv.org/pdf/0704.2890.pdf.

in the same vein, there is the PhD thesis of Christian Wald: https://edoc.hu-berlin.de/bitstream/handle/18452/18872/wald.pdf?sequence=1.

And more recently the PhD thesis of Nicolas Dupré: https://www.repository.cam.ac.uk/bitstream/handle/1810/291025/thesis.pdf?sequence=1&isAllowed=y, who also has two preprints on this topic:

Improve this answer
$\endgroup$

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .