Results 81 to 90 of about 2,177,540 (199)

Relational Supersymmetry via the Dressing Field Method and Matter‐Interaction Supergeometric Framework

open access: yesAnnalen der Physik, Volume 537, Issue 9, September 2025.
Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
wiley   +1 more source

String Functions for Affine Lie Algebras Integrable Modules

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
The recursion relations of branching coefficients kξ(μ) for a module Lg¯ hμ reduced to a Cartan subalgebra h are transformed in order to place the recursion shifts γ Î Γa Ì h into the fundamental Weyl chamber.
Petr Kulish, Vladimir Lyakhovsky
doaj   +1 more source

Duflo-Serganova homology for exceptional modular Lie superalgebras with Cartan matrix

open access: yes, 2020
For the exceptional finite-dimensional modular Lie superalgebras $\mathfrak{g}(A)$ with indecomposable Cartan matrix $A$, and their simple subquotients, we computed non-isomorphic Lie superalgebras constituting the homologies of the odd elements with zero square.
Krutov, Andrey   +2 more
openaire   +2 more sources

On the dimension of Lie algebras of infinitesimal affine transformations of direct products of more than two spaces of affine connection of the first type

open access: yesДифференциальная геометрия многообразий фигур
The theory of motions in generalized spaces is one of the directions in modern differential geometry. Such scientists as E. Cartan, P. K. Rashev­sky, P. A. Shirokov, I. P. Egorov, A.Ya. Sultanov and other scientists were engaged in the study of movements
Glebova M. V. , Sultanov A.Ya.
doaj   +1 more source

Representation theory of Mantaci-Reutenauer algebras

open access: yes, 2006
We study some aspects of the representation theory of Mantaci-Reutenauer algebras: Cartan matrix, Loewy length, modular representations.Comment: 41 pages; the last question of the last section has been slightly ...
Bonnafé, Cédric
core   +1 more source

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