Results 21 to 30 of about 614,238 (277)

A geometric characterisation of the blocks of the Brauer algebra [PDF]

, 2006
We give a geometric description of the blocks of the Brauer algebra $B_n(\delta)$ in characteristic zero as orbits of the Weyl group of type $D_n$. We show how the corresponding affine Weyl group controls the representation theory of the Brauer algebra ...
Cox, Anton, De Visscher, Maud, Martin, Paul   +2 more
core   +2 more sources

Fluxes in exceptional field theory and threebrane sigma-models

Journal of High Energy Physics, 2019
Starting from a higher Courant bracket associated to exceptional generalized geometry, we provide a systematic derivation of all types of fluxes and their Bianchi identities for four-dimensional compactifications of M-theory.
Athanasios Chatzistavrakidis, Larisa Jonke, Dieter Lüst, Richard J. Szabo   +3 more
doaj   +1 more source

Springer theory via the Hitchin fibration [PDF]

, 2011
In this paper, we translate the Springer theory of Weyl group representations into the language of symplectic topology. Given a semisimple complex group G, we describe a Lagrangian brane in the cotangent bundle of the adjoint quotient g/G that produces ...
Borho, David Nadler, Ginzburg, Kashiwara, Keller, Springer, Stasheff   +6 more
core   +1 more source

From Practice to New Concepts: Geometric Properties of Groups

Philosophia Scientiæ, 2012
The paper aims to show how mathematical practice, in particular with visual representations, can lead to new mathematical results. The argument is based on a case study from a relatively recent and promising mathematical subject—geometric group theory ...
Irina Starikova
doaj   +1 more source

Polystable bundles and representations of their automorphisms

Complex Manifolds, 2022
Using a quasi-linear version of Hodge theory, holomorphic vector bundles in a neighbourhood of a given polystable bundle on a compact Kähler manifold are shown to be (poly)stable if and only if their corresponding classes are (poly)stable in the sense of
Buchdahl Nicholas, Schumacher Georg
doaj   +1 more source

Investigating Off-shell Stability of Anti-de Sitter Space in String Theory [PDF]

, 2008
We propose an investigation of stability of vacua in string theory by studying their stability with respect to a (suitable) world-sheet renormalization group (RG) flow.
Adams A, Adams R A, Anderson M T, Andersson L Moncrief V, Bakas I Sourdis C, Bourguignon J-P, Cao H-D, Cao H-D, Cao H-D Hamilton R Ilmanen T, Chow B, Dai X Wang X Wei G, Feldman M Ilmanen T Ni L, Fischer A E, Giveon A, Gubser S S, Guenther C, Guenther C, Gutperle M, Headrick M, Headrick M, Holzegel G, Ishibashi A, Knopf D, Morgan J, Okawa Y, Perelman G, Perelman G, Perelman G, Schnuerer O, Sesum N, Taylor M E, Topping P, V Suneeta, Wald R M   +33 more
core   +1 more source

Gauge Theory, Ramification, And The Geometric Langlands Program [PDF]

, 2006
In the gauge theory approach to the geometric Langlands program, ramification can be described in terms of ``surface operators,'' which are supported on two-dimensional surfaces somewhat as Wilson or 't Hooft operators are supported on curves.
Gukov, Sergei, Witten, Edward
core   +5 more sources

Injective Hulls of Infinite Totally Split-Decomposable Metric Spaces

Axioms
We extend the theory of splits in finite metric spaces to infinite ones. Within this more general framework, we investigate the class of spaces having metrics that are integer-valued and totally split-decomposable, as well as the polyhedral complex ...
Maël Pavón
doaj   +1 more source

Link between Lie Group Statistical Mechanics and Thermodynamics of Continua

Entropy, 2016
In this work, we consider the value of the momentum map of the symplectic mechanics as an affine tensor called momentum tensor. From this point of view, we analyze the underlying geometric structure of the theories of Lie group statistical mechanics and ...
Géry de Saxcé
doaj   +1 more source

Cocientes algebraicos y Teoría de Invariantes Geométricos

Selecciones Matemáticas, 2020
The quotient of an algebraic variety by action of an algebraic group does not always has a variety structure. The aim of this work is to describe a methodfor constructing good quotients, in the sense of Geometric invariant theory, in algebraicgeometry.
Nélida Medina García
doaj   +1 more source