Results 11 to 20 of about 69,880 (174)

Abelianization and the Duistermaat–Heckman theorem

open access: yesBulletin of the London Mathematical Society, 2023
AbstractWe use the abelianization theorem of Crooks and Weitsman (2022) to prove a non‐abelian generalization of the Duistermaat–Heckman theorem for measures. Our main technical tools include the Gelfand–Cetlin data of Crooks and Weitsman (2022), examples of which are the Gelfand–Cetlin systems of Guillemin–Sternberg and generalizations thereof due to ...
Peter Crooks, Jonathan Weitsman
openaire   +3 more sources

Pseudo-Diagonals and Uniqueness Theorems [PDF]

open access: yes, 2013
We examine a certain type of abelian C*-subalgebras that allow one to give a unified treatment of two uniqueness theorems: for graph C*-algebras and for certain reduced crossed ...
Nagy, Gabriel, Reznikoff, Sarah
core   +1 more source

Non-Abelian Pseudocompact Groups

open access: yesAxioms, 2016
Here are three recently-established theorems from the literature. (A) (2006) Every non-metrizable compact abelian group K has 2|K| -many proper dense pseudocompact subgroups.
W. W. Comfort, Dieter Remus
doaj   +1 more source

Non-Abelian Lefschetz hyperplane theorems [PDF]

open access: yesJournal of Algebraic Geometry, 2018
LetXXbe a smooth projective variety over the complex numbers, and letD⊂XD\subset Xbe an ample divisor. For which spacesYYis the restriction mapr:Hom(X,Y)→Hom(D,Y)\begin{equation*}r: \mathrm {Hom}(X, Y)\to \mathrm {Hom}(D, Y) \end{equation*}an isomorphism?Using positive characteristic methods, we give a fairly exhaustive answer to this question.
openaire   +2 more sources

Zwanziger’s pairwise little group on the celestial sphere

open access: yesJournal of High Energy Physics, 2021
We generalize Zwanziger’s pairwise little group to include a boost subgroup. We do so by working in the celestial sphere representation of scattering amplitudes. We propose that due to late time soft photon and graviton exchanges, matter particles in the
Luke Lippstreu
doaj   +1 more source

Transposition Regular AG-Groupoids and Their Decomposition Theorems

open access: yesMathematics, 2022
In this paper, we introduce transposition regularity into AG-groupoids, and a variety of transposition regular AG-groupoids (L1/R1/LR, L2/R2/L3/R3-groupoids) are obtained. Their properties and structures are discussed by their decomposition theorems: (1)
Yudan Du, Xiaohong Zhang, Xiaogang An
doaj   +1 more source

Derivative for Functions f:GH, Where G Is a Metric Divisible Group

open access: yesMathematics, 2022
In this paper, a derivative for functions f:G→H, where G is any metric divisible group and H is a metric Abelian group with a group metric, is defined. Basic differentiation theorems are stated and demonstrated. In particular, we obtain the Chain Role.
Héctor Andrés Granada Díaz   +2 more
doaj   +1 more source

On the distributional Stieltjes transformation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
This paper is concerned with some general theorems on the distributional Stieltjes transformation. Some Abelian theorems are proved.
D. Nikolic-Despotovic, A. Takaci
doaj   +1 more source

Covering groups and their applications: A survey

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2022
This article is a survey of covering group theorems and their applications. For a given covering mapping from the topological space onto a topological group, it is natural to pose the following question on the lifting of the group structure from the base
R.N. Gumerov
doaj   +1 more source

On the number of zeros of Abelian integrals for a kind of quadratic reversible centers

open access: yesAIMS Mathematics, 2023
Hilbert$ ' $s 16th problem is extensively studied in mathematics and its applications. Arnold proposed a weakened version focusing on differential equations.
Yanjie Wang, Beibei Zhang, Bo Cao
doaj   +1 more source

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