Results 101 to 110 of about 67,761 (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

Toroidal extended affine Lie algebras and vertex algebras [PDF]

, 2021
Fulin Chen, Haisheng Li, Shaobin Tan
openalex   +1 more source

One‐level densities in families of Grössencharakters associated to CM elliptic curves

Mathematika, Volume 72, Issue 1, January 2026.
Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
wiley   +1 more source

Cohomology of nilpotent subalgebras of affine Lie algebras [PDF]

Proceedings of the American Mathematical Society, 1994
We compute the cohomology of the maximal nilpotent Lie algebra of an affine Lie algebra g ^ \hat {\mathfrak {g}} with coefficients in modules of functions on the circle with values in a representation space of g \mathfrak {g} .
openaire   +1 more source

Uhlenbeck Spaces via Affine Lie Algebras [PDF]

, 2007
Let $G$ be an almost simple simply connected group over $\BC$, and let $\Bun^a_G(\BP^2,\BP^1)$ be the moduli scheme of principal $G$-bundles on the projective plave $\BP^2$, of second Chern class $a$, trivialized along a line $\BP^1\subset \BP^2$. We define the Uhlenbeck compactification $\fU^a_G$ of $\Bun^a_G(\BP^2,\BP^1)$, which classifies, roughly ...
Braverman, A., Finkelberg, M., Gaitsgory, D.   +2 more
openaire   +2 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

Principal subspaces of basic modules for twisted affine Lie algebras, $q$-series multisums, and Nandi's identities [PDF]

, 2022
Katherine Baker, Shashank Kanade, Matthew C. Russell, Christopher Sadowski   +3 more
openalex   +1 more source

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.
Billig, Yuly, Lau, Michael
openaire   +3 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

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