Results 81 to 90 of about 75,652 (194)

On the Euler characteristic of S$S$‐arithmetic groups

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley   +1 more source

STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS

open access: yesForum of Mathematics, Sigma, 2020
Several well-known open questions (such as: are all groups sofic/hyperlinear?) have a common form: can all groups be approximated by asymptotic homomorphisms into the symmetric groups $\text{Sym}(n)$ (in the sofic case) or the finite-dimensional unitary ...
MARCUS DE CHIFFRE   +3 more
doaj   +1 more source

The L$L$‐polynomials of van der Geer–van der Vlugt curves in characteristic 2

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract The van der Geer–van der Vlugt curves form a class of Artin–Schreier coverings of the projective line over finite fields. We provide an explicit formula for their L$L$‐polynomials in characteristic 2, expressed in terms of characters of maximal abelian subgroups of the associated Heisenberg groups.
Tetsushi Ito   +2 more
wiley   +1 more source

Lie Group Statistics and Lie Group Machine Learning Based on Souriau Lie Groups Thermodynamics & Koszul-Souriau-Fisher Metric: New Entropy Definition as Generalized Casimir Invariant Function in Coadjoint Representation

open access: yesEntropy, 2020
In 1969, Jean-Marie Souriau introduced a “Lie Groups Thermodynamics” in Statistical Mechanics in the framework of Geometric Mechanics. This Souriau’s model considers the statistical mechanics of dynamic systems in their “space of evolution” associated to
Frédéric Barbaresco
doaj   +1 more source

On 2-form gauge models of topological phases

open access: yesJournal of High Energy Physics, 2019
We explore 2-form topological gauge theories in (3+1)d. These theories can be constructed as sigma models with target space the second classifying space B 2 G of the symmetry group G, and they are classified by cohomology classes of B 2 G.
Clement Delcamp, Apoorv Tiwari
doaj   +1 more source

Cohomology and Crossed Modules of Modified Rota–Baxter Pre-Lie Algebras

open access: yesMathematics
The goal of the present paper is to provide a cohomology theory and crossed modules of modified Rota–Baxter pre-Lie algebras. We introduce the notion of a modified Rota–Baxter pre-Lie algebra and its bimodule.
Fuyang Zhu, Wen Teng
doaj   +1 more source

Transfers for ramified covering maps in homology and cohomology

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
Making use of a modified version, due to McCord, of the Dold-Thom construction of ordinary homology, we give a simple topological definition of a transfer for ramified covering maps in homology with arbitrary coefficients.
Marcelo A. Aguilar, Carlos Prieto
doaj   +1 more source

Computational Tools for Cohomology of Toric Varieties

open access: yesAdvances in High Energy Physics, 2011
Novel nonstandard techniques for the computation of cohomology classes on toric varieties are summarized. After an introduction of the basic definitions and properties of toric geometry, we discuss a specific computational algorithm for the determination
Ralph Blumenhagen   +2 more
doaj   +1 more source

Modq cohomology and Tate–Vogel cohomology of groups

open access: yesJournal of Pure and Applied Algebra, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Conduché, Daniel   +2 more
openaire   +2 more sources

One-dimensional super Calabi-Yau manifolds and their mirrors

open access: yesJournal of High Energy Physics, 2017
We apply a definition of generalised super Calabi-Yau variety (SCY) to supermanifolds of complex dimension one. One of our results is that there are two SCY’s having reduced manifold equal to ℙ 1 $$ {\mathrm{\mathbb{P}}}^1 $$ , namely the projective ...
S. Noja   +4 more
doaj   +1 more source

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