Results 41 to 50 of about 248 (157)
Non-Abelian symmetry-resolved entanglement entropy
SciPost PhysicsWe 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
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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 +2 more
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Lorentzian homogeneous structures with indecomposable holonomy
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract For a Lorentzian homogeneous space, we study how algebraic conditions on the isotropy group affect the geometry and curvature of the homogeneous space. More specifically, we prove that a Lorentzian locally homogeneous space is locally isometric to a plane wave if it admits an Ambrose–Singer connection with indecomposable, non‐irreducible ...
Steven Greenwood, Thomas Leistner
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Langlands Duality and Invariant Differential Operators
MathematicsLanglands 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
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Exactness and the topology of the space of invariant random equivalence relations
Proceedings of the London Mathematical Society, Volume 132, Issue 5, May 2026.Abstract We characterize exactness of a countable group Γ$\Gamma$ in terms of invariant random equivalence relations (IREs) on Γ$\Gamma$. Specifically, we show that Γ$\Gamma$ is exact if and only if every weak limit of finite IREs is an amenable IRE.
Héctor Jardón‐Sánchez +3 more
wiley +1 more source
On Lie Symmetries of Hyperbolic Model Metric of SL(n, R) Geometry
پژوهشهای ریاضی, 2020 Introduction Symmetries of an equation are closely related to conservation laws. Noether's theorem provides a method for finding conservation laws of differential equations arising from a known Lagrangian and having a known Lie symmetry.
Rohollah Bakhshandeh Chamazkoti
doaj
An analogue of Krein’s theorem for semisimple Lie groups [PDF]
Pacific Journal of Mathematics, 2011 For \(K\)-positive definite functions on a real rank \(n\) connected, noncompact, semisimple Lie group with finite centre, the author derives an integral representation of them. Moreover, the author considers \(\tau\)-positive definite functions, and gives an example in which the set of \(\tau\)-positive definite functions is same as the set of ...
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Divergence in lattices in semisimple Lie groups and graphs of groups [PDF]
Transactions of the American Mathematical Society, 2009 Divergence functions of a metric space estimate the length of a path connecting two points A A ,
Drutu, C., Mozes, S., Sapir, M.
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
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
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