Results 21 to 30 of about 61,556 (129)

Abelian subalgebras and ideals of maximal dimension in Poisson algebras

Journal of Algebra
This paper studies the abelian subalgebras and ideals of maximal dimension of Poisson algebras $\mathcal{P}$ of dimension $n$. We introduce the invariants $α$ and $β$ for Poisson algebras, which correspond to the dimension of an abelian subalgebra and ideal of maximal dimension, respectively. We prove that these invariants coincide if $α(\mathcal{P}) =
A. Fernández Ouaridi, R.M. Navarro, D.A. Towers   +2 more
openaire   +4 more sources

Rigidity and Toledo Invariant for Spin*(8)-Higgs Bundles

Mathematics
In this paper, we study Spin*(8)-Higgs bundles over compact Riemann surfaces, extending the work of Bradlow, García-Prada, and Gothen on SO*(8). The group Spin*(8) is exceptional among classical real forms, as its complexification Spin(8,C) admits ...
Álvaro Antón-Sancho
doaj   +1 more source

From triangulated categories to abelian categories--cluster tilting in a general framework

, 2006
We put cluster tilting in ageneral framework by showing that any quotient of a triangulated category modulo a tilting subcategory (that is, a maximal one-orthogonal subcategory) carries an abelian structure.
Koenig, Steffen, Zhu, Bin
core   +4 more sources

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Breaking global symmetries with locality-preserving operations

Physical Review Research
In the general framework of quantum resource theories, one typically only distinguishes between operations that can or cannot generate the resource of interest.
Michele Mazzoni, Luca Capizzi, Lorenzo Piroli   +2 more
doaj   +1 more source

On maximal Albanese dimensional varieties [PDF]

, 2009
We prove that every smooth projective variety with maximal Albanese dimension has a good minimal model.
Fujino, Osamu
core   +1 more source

Ghost Condensates and Dynamical Breaking of SL(2,R) in Yang-Mills in the Maximal Abelian Gauge

, 2003
Ghost condensates of dimension two in SU(N) Yang-Mills theory quantized in the Maximal Abelian Gauge are discussed. These condensates turn out to be related to the dynamical breaking of the SL(2,R) symmetry present in this gaugeComment: 16 pages, LaTeX2e,
't Hooft G, Bruckmann F, Coleman S, Dudal D, Dudal D, Dudal D, Dudal D, Dudal D, Dudal D, Freyhult L, Kondo K-I, Kronfeld A, Lemes V E R, M S Sarandy, Min H, Nakanishi N, Nambu Y, Ojima I, Park B-Y, Piguet O, S P Sorella, Sawayanagi H, Schaden M, Schaden M, Schaden M, V E R Lemes   +25 more
core   +1 more source

Laws and Reasons Why

Analytic Philosophy, EarlyView.
ABSTRACT Laws play some role in explanations: at the very least, they somehow connect what is explained, or the explanandum, to what explains, or the explanans. Thus, thermodynamical laws connect the match's being struck and its lightning, so that the former causes the latter; and laws about set formation connect Socrates' existence with {Socrates}'s ...
Julio De Rizzo
wiley   +1 more source

What If Each Voxel Were Measured With a Different Diffusion Protocol?

Magnetic Resonance in Medicine, Volume 95, Issue 4, Page 2277-2290, April 2026.
ABSTRACT Purpose Expansion of diffusion MRI (dMRI) both into the realm of strong gradients and into accessible imaging with portable low‐field devices brings about the challenge of gradient nonlinearities. Spatial variations of the diffusion gradients make diffusion weightings and directions non‐uniform across the field of view, and deform perfect ...
Santiago Coelho, Gregory Lemberskiy, Ante Zhu, Hong‐Hsi Lee, Nastaren Abad, Thomas K. F. Foo, Els Fieremans, Dmitry S. Novikov   +7 more
wiley   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source