Results 1 to 10 of about 89,490 (192)

Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]

open access: yes, 2015
In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie group structure on the character group with values in ...
Bogfjellmo, Geir   +2 more
core   +3 more sources

Functional delta-method for the bootstrap of quasi-Hadamard differentiable functionals [PDF]

open access: yes, 2016
The functional delta-method provides a convenient tool for deriving the asymptotic distribution of a plug-in estimator of a statistical functional from the asymptotic distribution of the respective empirical process.
Beutner, Eric, Zähle, Henryk
core   +4 more sources

Cylindrical Wigner measures [PDF]

open access: yes, 2018
In this paper we study the semiclassical behavior of quantum states acting on the C*-algebra of canonical commutation relations, from a general perspective.
Falconi, Marco
core   +2 more sources

Gerbes, M5-Brane Anomalies and E_8 Gauge Theory [PDF]

open access: yes, 2004
Abelian gerbes and twisted bundles describe the topology of the NS-NS 3-form gauge field strength H. We review how they have been usefully applied to study and resolve global anomalies in open string theory. Abelian 2-gerbes and twisted nonabelian gerbes
A. Adams   +31 more
core   +3 more sources

Calculus III: Taylor Series

open access: yes, 2003
We study functors from spaces to spaces or spectra that preserve weak homotopy equivalences. For each such functor we construct a universal n-excisive approximation, which may be thought of as its n-excisive part. Homogeneous functors, meaning n-excisive
Arone   +6 more
core   +2 more sources

Overview of (pro-)Lie group structures on Hopf algebra character groups

open access: yes, 2017
Character groups of Hopf algebras appear in a variety of mathematical and physical contexts. To name just a few, they arise in non-commutative geometry, renormalisation of quantum field theory, and numerical analysis.
A Connes   +47 more
core   +1 more source

Maps preserving common zeros between subspaces of vector-valued continuous functions [PDF]

open access: yes, 2009
For metric spaces $X$ and $Y$, normed spaces $E$ and $F$, and certain subspaces $A(X,E)$ and $A(Y,F)$ of vector-valued continuous functions, we obtain a complete characterization of linear and bijective maps $T:A(X,E)\to A(Y,F)$ preserving common zeros ...
Dubarbie, Luis
core   +1 more source

Algebraic Structure of Classical Field Theory: Kinematics and Linearized Dynamics for Real Scalar Fields

open access: yes, 2019
We describe the elements of a novel structural approach to classical field theory, inspired by recent developments in perturbative algebraic quantum field theory.
Brunetti, Romeo   +2 more
core   +1 more source

Continuous selections of multivalued mappings

open access: yes, 2014
This survey covers in our opinion the most important results in the theory of continuous selections of multivalued mappings (approximately) from 2002 through 2012.
A. Askoy   +100 more
core   +1 more source

From Sheaf Cohomology to the Algebraic de Rham Theorem

open access: yes, 2014
Let X be a smooth complex algebraic variety with the Zariski topology, and let Y be the underlying complex manifold with the complex topology. Grothendieck's algebraic de Rham theorem asserts that the singular cohomology of Y with complex coefficients ...
Tu, Loring W., Zein, Fouad El
core   +1 more source

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