Results 61 to 70 of about 173,393,737 (138)

Cosmological string backgrounds from super Poisson-Lie T-plurality

Nuclear Physics B, 2020
We generalize the formulation of Poisson-Lie (PL) T-plurality proposed by R. von Unge (2002) [6] from Lie groups to Lie supergroups. By taking a convenient ansatz for metric of the σ-model in terms of the left-invariant one-forms of the isometry Lie ...
Ali Eghbali
doaj   +1 more source

C-Supplemented Subalgebras of Lie Algebras. [PDF]

, 2008
A subalgebra $B$ of a Lie algebra $L$ is c-{\it supplemented} in $L$ if there is a subalgebra $C$ of $L$ with $L = B + C$ and $B \cap C \leq B_L$, where $B_L$ is the core of $B$ in $L$.
Towers, David A.
core   +3 more sources

Invariants of automorphic lie algebras [PDF]

Automorphic Lie Algebras arise in the context of reduction groups introduced in the late 1970s [35] in the field of integrable systems. They are subalgebras of Lie algebras over a ring of rational functions, denied by invariance under the action of a ...
Knibbeler, Vincent
core  

The scientific legacy of Miloslav Havlíček

Acta Polytechnica
We review the main research achievements of Miloslav Havl´ıˇcek in algebraic methods in Quantum Theory, his extensive work on realisations of Lie algebras and superalgebras and their representation theory, quantum groups and differential equations.
Rutwig Campoamor-Stursberg
doaj   +1 more source

Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms

Symmetry, Integrability and Geometry: Methods and Applications, 2008
In this review paper, we treat the topic of fine gradings of Lie algebras. This concept is important not only for investigating the structural properties of the algebras, but, on top of that, the fine gradings are often used as the starting point for ...
Milena Svobodová
doaj  

Classification of Traces and Associated Determinants on Odd-Class Operators in Odd Dimensions

Symmetry, Integrability and Geometry: Methods and Applications, 2012
To supplement the already known classification of traces on classical pseudodifferential operators, we present a classification of traces on the algebras of odd-class pseudodifferential operators of non-positive order acting on smooth functions on a ...
Carolina Neira Jiménez, Marie Françoise Ouedraogo   +1 more
doaj   +1 more source

Dynamical equations of multibody systems on Lie groups

Advances in Mechanical Engineering, 2015
The Euler–Poinaré principle is a reduced Hamilton’s principle under Lie group framework. In this article, it is applied to derive a hybrid set of dynamical equations of rigid multibody systems, which include four parts: the classical Euler–Lagrange ...
Wenjie Yu, Zhenkuan Pan
doaj   +1 more source

BPS spectra of N=2 SO7 and SP4 models

Nuclear Physics B, 2017
Extending the folding method of ADE Dynkin diagrams of Lie algebras to BPS quivers of 4d N=2 supersymmetric gauge theory with ADE type gauge invariance, we study the BPS spectra for gauge symmetries with non-simply laced Lie algebras. Focussing on the 4d
R. Ahl Laamara, O. Mellal, E.H. Saidi
doaj   +1 more source

Quantum groups and Yang-Baxter equations

Natural Science Review
This introductory  review is devoted to the newest section of the theory of symmetries -- the theory of quantum groups. The principles of the theory of quantum groups are reviewed from the point of view of the possibility of their use for deformations ...
A. P. Isaev
doaj   +1 more source

Quiver theories and formulae for nilpotent orbits of Exceptional algebras

Journal of High Energy Physics, 2017
We treat the topic of the closures of the nilpotent orbits of the Lie algebras of Exceptional groups through their descriptions as moduli spaces, in terms of Hilbert series and the highest weight generating functions for their representation content.
Amihay Hanany, Rudolph Kalveks
doaj   +1 more source