Results 41 to 50 of about 405 (171)

Parabolic subgroups in characteristics 2 and 3

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract This text brings to an end the classification of non‐reduced parabolic subgroups in positive characteristic, especially 2 and 3: they are all obtained as intersections of parabolics having maximal reduced part. We prove this result and deduce a few geometric consequences on rational projective homogeneous varieties.
Matilde Maccan
wiley   +1 more source

Traces on the uniform tracial completion of Z$\mathcal {Z}$‐stable C∗${\rm C}^*$‐algebras

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract The uniform tracial completion of a C∗${\rm C}^*$‐algebra A$A$ with compact trace space T(A)≠∅$T(A) \ne \emptyset$ is obtained by completing the unit ball with respect to the uniform 2‐seminorm ∥a∥2,T(A)=supτ∈T(A)τ(a∗a)1/2$\Vert a\Vert _{2,T(A)}=\sup _{\tau \in T(A)} \tau (a^*a)^{1/2}$. The trace problem asks whether every trace on the uniform
Samuel Evington
wiley   +1 more source

Adjoint Orbits of Borel Subgroup on Maximal Nilpotent Subalgebra of Types A and C.

, 2021
We describe the adjoint orbits of a Borel subgroup on a maximal nilpotent algebra of Types A and C. In Chapter 1, we provide a historical background and motivation behind the study.
Bogale, Meaza
core  

Borel Subalgebras of Root-Reductive Lie Algebras

Journal of Lie Theory, 2008
This paper generalizes the classification in a paper of Dimitrov and Penkov of Borel subalgebras of gl_infty. Root-reductive Lie algebras are direct limits of finite-dimensional reductive Lie algebras along inclusions preserving the root spaces with respect to nested Cartan subalgebras.
openaire   +3 more sources

Strong subgroup recurrence and the Nevo–Stuck–Zimmer theorem

Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.
Abstract Let Γ$\Gamma$ be a countable group and Sub(Γ)$\mathrm{Sub}(\Gamma)$ its Chabauty space, namely, the compact Γ$\Gamma$‐space consisting of all subgroups of Γ$\Gamma$. We call a subgroup Δ∈Sub(Γ)$\Delta \in \mathrm{Sub}(\Gamma)$ a boomerang subgroup if for every γ∈Γ$\gamma \in \Gamma$, γniΔγ−ni→Δ$\gamma ^{n_i} \Delta \gamma ^{-n_i} \rightarrow ...
Yair Glasner, Waltraud Lederle
wiley   +1 more source

A locally Convex Topology on the Beurling Algebras

پژوهش‌های ریاضی, 2019
Introduction Let G be a locally compact group with a fixed left Haar measure λ  and   be a weight function on G;  that is a Borel measurable function  with   for all .   We denote by  the set of all measurable  functions  such that ; the group algebra of 
Saeid Maghsoudi
doaj  

Orbifold Kodaira–Spencer maps and closed‐string mirror symmetry for punctured Riemann surfaces

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant 2D TQFT‐type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau–Ginzburg mirror of a
Hansol Hong, Hyeongjun Jin, Sangwook Lee
wiley   +1 more source

An Improper Arithmetically Closed Borel Subalgebra of P(ω) mod FIN

, 2020
We show the existence of a subalgebra A ⊆ P(ω) that satisfies the following three conditions: • A is Borel (when P(ω) is identified with 2 ω ). • A is arithmetically closed (i.e., A is closed under the Turing jump, and Turing reducibility). • The forcing
Ali Enayat, Saharon Shelah
core  

On tensor products of positive representations of split real quantum borel subalgebra u_qq (B_ℝ)

, 2018
We study the positive representations Pλ of split real quantum groups Uqq (gℝ) restricted to the Borel subalgebra Uqq (bℝ). We prove that the restriction is independent of the parameter λ.
Ip, Ivan C.H.
core   +1 more source

A comparison of Hochschild homology in algebraic and smooth settings

Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1249-1269, April 2025.
Abstract Consider a complex affine variety V∼$\tilde{V}$ and a real analytic Zariski‐dense submanifold V$V$ of V∼$\tilde{V}$. We compare modules over the ring O(V∼)$\mathcal {O} (\tilde{V})$ of regular functions on V∼$\tilde{V}$ with modules over the ring C∞(V)$C^\infty (V)$ of smooth complex valued functions on V$V$.
David Kazhdan, Maarten Solleveld
wiley   +1 more source