Results 51 to 60 of about 1,525 (197)

Certifying Anosov representations

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract By providing new finite criteria which certify that a finitely generated subgroup of SL(d,R)$\operatorname{SL}(d,\operatorname{\mathbb {R}})$ or SL(d,C)$\operatorname{SL}(d,\mathbb {C})$ is projective Anosov, we obtain a practical algorithm to verify the Anosov condition.
J. Maxwell Riestenberg
wiley   +1 more source

Cyclic elements in semisimple lie algebras [PDF]

, 2012
We develop a theory of cyclic elements in semisimple Lie algebras. This notion was introduced by Kostant, who associated a cyclic element with the principal nilpotent and proved that it is regular semisimple.
Vinberg, E. B., Kac, Victor, Elashvili, A., Kac, V., Elashvili, A. G., Vinberg, E.   +5 more
core   +1 more source

Pseudoconvexity and Steinness of Connected Complex Lie Groups: A Concise Lie-Theoretic Approach

Geometry
We give new concise Lie-theoretic proofs of basic analytic–geometric properties of connected complex Lie groups. Using Matsushima’s biholomorphic splitting G≃Cn×K˜ together with a refined analysis of the center via its Cousin factor, we show that every ...
Abdel Rahman Al-Abdallah
doaj   +1 more source

A classification of Prüfer domains of integer‐valued polynomials on algebras

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract Let D$D$ be an integrally closed domain with quotient field K$K$ and A$A$ a torsion‐free D$D$‐algebra that is finitely generated as a D$D$‐module and such that A∩K=D$A\cap K=D$. We give a complete classification of those D$D$ and A$A$ for which the ring IntK(A)={f∈K[X]∣f(A)⊆A}$\textnormal {Int}_K(A)=\lbrace f\in K[X] \mid f(A)\subseteq A ...
Giulio Peruginelli, Nicholas J. Werner
wiley   +1 more source

IntegrableG-strands on semisimple Lie groups [PDF]

Journal of Physics A: Mathematical and Theoretical, 2014
17 pages, no figures. First version, comments welcome!
Gay-Balmaz, François, Holm, Darryl D, Ratiu, Tudor S   +2 more
openaire   +3 more sources

Noncommutative polygonal cluster algebras

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg, Dani Kaufman, Merik Niemeyer, Anna Wienhard   +3 more
wiley   +1 more source

On Lie algebras all of whose minimal subalgebras are lower modular. [PDF]

, 2004
The main purpose of this paper is to study Lie algebras L such that if a subalgebra U of L has a maximal subalgebra of dimension one then every maximal subalgebra of U has dimension one. Such an L is called lm(0)-algebra.
Kevin Bowman, Bowman, Kevin, Vicente R. Varea, Varea, Vicente R., Towers, David A., David A. Towers   +5 more
core  

Non-Abelian symmetry-resolved entanglement entropy

SciPost Physics
We introduce a mathematical framework for symmetry-resolved entanglement entropy with a non-Abelian symmetry group. To obtain a reduced density matrix that is block-diagonal in the non-Abelian charges, we define subsystems operationally in terms of ...
Eugenio Bianchi, Pietro Dona, Rishabh Kumar
doaj   +1 more source

Expansion of normal subsets of odd‐order elements in finite groups

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let G$G$ be a finite group and K$K$ a normal subset consisting of odd‐order elements. The rational closure of K$K$, denoted DK$\mathbf {D}_K$, is the set of elements x∈G$x \in G$ with the property that ⟨x⟩=⟨y⟩$\langle x \rangle = \langle y \rangle$ for some y$y$ in K$K$.
Chris Parker, Jack Saunders
wiley   +1 more source

Langlands Duality and Invariant Differential Operators

Mathematics
Langlands duality is one of the most influential topics in mathematical research. It has many different appearances and influential subtopics. Yet there is a topic that until now has seemed unrelated to the Langlands program.
Vladimir Dobrev
doaj   +1 more source