Rigid analytic quantum groups and quantum Arens-Michael envelopes

DOI10.1016/j.jalgebra.2019.06.037zbMath1471.16041arXiv1809.06177OpenAlexW2965731506MaRDI QIDQ2324640

Nicolas Dupré

Publication date: 11 September 2019

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.06177

zbMATH Keywords

quantum groupsrepresentation theory\(p\)-adic number theoryBGG theory

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Semisimple Lie groups and their representations (22E46) Hopf algebras and their applications (16T05)

Related Items (2)

A Beilinson-Bernstein theorem for analytic quantum groups. I ⋮ Banach space representations of Drinfeld-Jimbo algebras and their complex-analytic forms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On irreducible representations of compact \(p\)-adic analytic groups
• Quantum groups at roots of 1
• A Beilinson-Bernstein theorem for analytic quantum groups. I
• Invariant distributions on \(p\)-adic analytic groups
• Quantum function algebra at roots of 1
• Algebras of \(p\)-adic distributions and admissible representations
• Lectures on algebraic quantum groups
• The Beilinson-Bernstein correspondence for quantized enveloping algebras.
• Zariskian filtrations
• Category \(\mathcal O\) for quantum groups
• Stable flatness of nonarchimedean hyperenveloping algebras
• Verma modules over \(p\)-adic Arens-Michael envelopes of reductive Lie algebras
• Quantum flag varieties, equivariant quantum \(\mathcal D\)-modules, and localization of quantum groups
• Representations of quantum algebras
• Localization for quantum groups at a root of unity
• On non-commutative regular local rings
• A Hilbert Basis Theorem for Quantum Groups
• \wideparen{𝒟}-modules on rigid analytic spaces II: Kashiwara’s equivalence
• Locally analytic vectors in representations of locally 𝑝-adic analytic groups
• Quantum p-adic spaces and quantum p-adic groups

This page was built for publication: Rigid analytic quantum groups and quantum Arens-Michael envelopes