From the 1 of 6 linked papers with an AI index.
6 papers
Higher Structures of Rota--Baxter Lie -Pseudoalgebras
Sania Asif, Zhixiang Wu
The paper develops a cohomology theory and homotopy framework for Rota‑Baxter Lie H‑pseudoalgebras, classifies their non‑abelian extensions via second cohomology, and relates stric…
Locally analytic vectors in the completed cohomology of quaternionic Shimura curves
Zhenghui Li, Benchao Su, Zhixiang Wu
We use the methods introduced by Lue Pan to study the locally analytic vectors of the completed cohomology of Shimura curves associated to an indefinite quaternion algebra whic…
Quasi-Twilled Lie Pseudolgebras and Their Deformation Maps
Sania Asif, Zhixiang Wu
In this paper, we present a unified framework for studying cohomology theories of various operators in the context of pseudoalgebras. The central tool in our approach is the notion…
Geometric translations of -modules for
Zhixiang Wu
We study ``change of weights'' maps between loci of the stack of -modules over the Robba ring with integral Hodge-Tate-Sen weights. We show that in the $\mathrm{GL}_2(\mat…
Bernstein-Zelevinsky duality for locally analytic principal series representations
Matthias Strauch, Zhixiang Wu
We consider certain dual of the Kohlhaase-Schraen resolutions for locally analytic principal series representations of -adic Lie groups in the case of integral weights. The dual…
Cohomology and Homotopification of averaging operators on the Lie conformal algebras
Sania Asif, Zhixiang Wu
Building upon the work of Pavel in [P. Kolesnikov, Journal of Mathematical Physics, 56, 7 (2015)], we first present the cohomology of averaging operators on the Lie conformal algeb…