Results 41 to 50 of about 297 (147)

Parabolic and Linear Rotational Motions on Cones and Hyperboloids

open access: yesAxioms
In this study, we consider the Lorentzian rotation about a lightlike axis. First, we introduce a geometric characterization for the rotation angle between two vectors that can overlap each other under a Lorentzian rotation about a lightlike axis.
Harun Barış Çolakoğlu   +2 more
doaj   +1 more source

Admissible W-graphs and commuting Cartan matrices

open access: yesAdvances in Applied Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Random matrices beyond the Cartan classification [PDF]

open access: yesJournal of Physics A: Mathematical and Theoretical, 2008
It is known that hermitean random matrix ensembles can be identified with symmetric coset spaces of Lie groups, or else with tangent spaces of the same. This results in a classification of random matrix ensembles as well as applications in practical calculations of physical observables.
openaire   +2 more sources

On the cohomology of finite‐dimensional nilpotent groups and Lie rings

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley   +1 more source

Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley   +1 more source

Generalized free wreath products and their operator algebras

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We develop a new approach on free wreath products, generalizing the constructions of Bichon and of Fima‐Pittau. We show stability properties for certain approximation properties such as exactness, Haagerup property, hyperlinearity, and K‐amenability. We study qualitative properties of the associated von Neumann algebra: factoriality, primeness,
Pierre Fima, Arthur Troupel
wiley   +1 more source

Quivers with relations for symmetrizable Cartan matrices III: Convolution algebras [PDF]

open access: yesRepresentation Theory, 2016
We realize the enveloping algebra of the positive part of a semisimple complex Lie algebra as a convolution algebra of constructible functions on module varieties of some Iwanaga-Gorenstein algebras of dimension 1.
Geiss, Christof   +2 more
openaire   +6 more sources

Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley   +1 more source

Quotients, Cartan matrices and morita equivalent blocks

open access: yesJournal of Algebra, 1984
Let F be a field of prime characteristic p. Let G be a finite group, let N be a normal subgroup of G, let D be a p-Sylow subgroup of N and suppose that \(G=NC_ G(D)\) where \(C_ G(D)\) is the centralizer of D in G. By mainly ring-theoretic methods the author generalizes results given by \textit{W. Feit} [The representation theory of finite groups (1982;
openaire   +1 more source

An extended definition of Anosov representation for relatively hyperbolic groups

open access: yesJournal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley   +1 more source

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