Results 101 to 110 of about 66,909 (247)

The Extended Symmetry Lie Algebra and the Asymptotic Expansion of the Transversal Correlation Function for the Isotropic Turbulence

Advances in Mathematical Physics, 2013
The extended symmetry of the functional of length determined in an affine space K3 of the correlation vectors for homogeneous isotropic turbulence is studied.
V. N. Grebenev, A. N. Grishkov, M. Oberlack   +2 more
doaj   +1 more source

Integrable representations of affine Lie-algebras

Inventiones Mathematicae, 1986
Let \({\mathfrak g}\) be a finite dimensional simple Lie algebra over \({\mathbb C}\) and let \(L({\mathfrak g})=L\otimes_{{\mathbb C}}{\mathfrak g}\) \((L={\mathbb C}[t,t^{- 1}])\) be the loop algebra and \(G=\hat L({\mathfrak g})=L({\mathfrak g})\oplus {\mathbb C}c\oplus {\mathbb C}d\) be the corresponding affine algebra with Cartan subalgebra \(H\).
openaire   +2 more sources

Property (T) for groups acting on affine buildings

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3151-3162, October 2025.
Abstract We prove that a group acting geometrically on a thick affine building has property (T). A more general criterion for property (T) is given for groups acting on partite complexes.
Izhar Oppenheim
wiley   +1 more source

Orbital theory for affine Lie algebras

Inventiones Mathematicae, 1984
The paper develops an orbit method for the infinite dimensional Lie algebras called ''affine''. The main results are the infinite dimensional analogues of the intertwining property of the invariant integral and the Fourier transforms on a semisimple Lie algebra and a Cartan subalgebra of compact type and the related Kirillov type formula for characters
openaire   +2 more sources

Casimir invariants for quantized affine Lie algebras

Letters in Mathematical Physics, 1994
8 pages, LaTex file, UQMATH-93-04 (minor changes are made)
Gould, MD, Zhang, YZ
openaire   +4 more sources

Wakimoto Modules for Twisted Affine Lie Algebras [PDF]

Mathematical Research Letters, 2002
We construct Wakimoto modules for twisted affine Lie algebras, and interpret the construction in terms of vertex algebras and their twisted modules. Using the Wakimoto realization, we prove the Kac-Kazhdan conjecture on the characters of irreducible modules with generic critical highest weights in the twisted case.
openaire   +4 more sources

On infinitesimal transformations of Weil bundles as solutions of differential equation for Lie derivative of complete lift connection

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. The study of infinitesimal affine transformation of bundles over Weil algebra is one of the important problems in the theory of these bundles.
Konstantin M. Budanov
doaj   +1 more source

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

Дифференциальная 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

An algebraic approach to a study of two-dimensional affine differential system [PDF]

Computer Science Journal of Moldova, 2008
In a present paper a problem of classification of Aff(2, ℜ)-orbits' dimensions is considered on example of an autonomous two-dimensional affine differential system of first order.
E.Naidenova
doaj  

Irreducible modules for extended affine Lie algebras

Journal of Algebra, 2011
We construct irreducible modules for twisted toroidal Lie algebras and extended affine Lie algebras. This is done by combining the representation theory of untwisted toroidal algebras with the technique of thin coverings of modules. We illustrate our method with examples of extended affine Lie algebras of Clifford type.
Yuly Billig, Michael Lau
openaire   +3 more sources