Results 71 to 80 of about 1,525 (197)

Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan, Francesco Pediconi, Sammy Sbiti   +2 more
wiley   +1 more source

On the intersections of nilpotent subgroups in simple groups

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract Let G$G$ be a finite group and let Hp$H_p$ be a Sylow p$p$‐subgroup of G$G$. A recent conjecture of Lisi and Sabatini asserts the existence of an element x∈G$x \in G$ such that Hp∩Hpx$H_p \cap H_p^x$ is inclusion‐minimal in the set {Hp∩Hpg:g∈G}$\lbrace H_p \cap H_p^g \,:\, g \in G\rbrace$ for every prime p$p$.
Timothy C. Burness, Hong Yi Huang
wiley   +1 more source

Nilpotent subspaces of maximal dimension in semisimple Lie algebras [PDF]

, 2006
We show that a linear subspace of a reductive Lie algebra g that consists of nilpotent elements has dimension at most equal to the number of positive roots, and that any nilpotent subspace attaining this upper bound is equal to the nilradical of a Borel ...
Kuttler, J, Kraft, Hanspeter, Kraft, H., Kuttler, J., Kuttler, Jochen, Kraft, H, Draisma, J., Draisma, J Jan, Draisma, Jan   +8 more
core   +1 more source

Subregular representations of Sln and simple singularities of type An-1. Part II [PDF]

, 2003
The aim of this paper is to show that the structures on K-theory used to formulate Lusztig's conjecture for subregular nilpotent sln-representations are, in fact, natural in the McKay correspondence.
Rumynin, D., Iain Gordon, Dmitriy Rumynin, Gordon, I. (Iain), Rumynin, Dmitriy, Gordon, I.   +5 more
core   +1 more source

Symmetry-Enforced Entanglement in Maximally Mixed States

PRX Quantum
Entanglement in quantum many-body systems is typically fragile to interactions with the environment. Generic unital quantum channels, for example, have the maximally mixed state with no entanglement as their unique steady state. However, we find that for
Amin Moharramipour, Leonardo A. Lessa, Chong Wang, Timothy H. Hsieh, Subhayan Sahu   +4 more
doaj   +1 more source

Lie algebras: infinite generalizations and deformations [PDF]

, 1990
There are many applications of Lie algebras to theoretical physics. This thesis is a study of some new mathematical structures which also are applicable to current physical ideas.
Fletcher, Paul, Fletcher, P
core