Results 41 to 50 of about 21,113 (168)

Computer-Aided Analysis of Solvable Rigid Lie Algebras with a Given Eigenvalue Spectrum

open access: yesAxioms, 2022
With the help of symbolic computer packages, the study of the cohomological rigidity of real solvable Lie algebras of rank one with a maximal torus of derivations t and the eigenvalue spectrum spec(t)=1,k,k+1,⋯,n+k−2 initiated in a previous work is ...
Rutwig Campoamor-Stursberg   +1 more
doaj   +1 more source

On Fico's Lemmata and the homotopy type of certain gyrations

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We undertake to determine the homotopy type of gyrations of sphere products and of connected sums, thereby generalising results known in earlier literature as ‘Fico's Lemmata’ which underpin gyrations in their original formulation from geometric topology.
Sebastian Chenery
wiley   +1 more source

sl(2)-Trivial Deformations of Vect_{Pol}(R)-Modules of Symbols

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
We consider the action of Vect_{Pol}(R) by Lie derivative on the spaces of symbols of differential operators. We study the deformations of this action that become trivial once restricted to sl(2).
Mabrouk Ben Ammar, Maha Boujelbene
doaj   +1 more source

Canonical forms of oriented matroids

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
wiley   +1 more source

On the paper “Bundle gerbes” by Michael Murray

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The article gives a brief survey of Murray's notion of bundle gerbes as introduced in his 1996 paper published in the Journal of the London Mathematical Society, together with some of its applications.
Nigel Hitchin
wiley   +1 more source

HILBERT STRATIFOLDS AND A QUILLEN TYPE GEOMETRIC DESCRIPTION OF COHOMOLOGY FOR HILBERT MANIFOLDS

open access: yesForum of Mathematics, Sigma, 2018
In this paper we use tools from differential topology to give a geometric description of cohomology for Hilbert manifolds. Our model is Quillen’s geometric description of cobordism groups for finite-dimensional smooth manifolds [Quillen, ‘Elementary ...
MATTHIAS KRECK, HAGGAI TENE
doaj   +1 more source

The GJMS operators in geometry, analysis and physics

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley   +1 more source

Theta divisors and permutohedra

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
wiley   +1 more source

(Co)homology of triassociative algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
We study homology and cohomology of triassociative algebras with nontrivial coefficients. The cohomology theory is applied to study algebraic deformations of triassociative algebras.
Donald Yau
doaj   +1 more source

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