Results 111 to 120 of about 66,909 (247)

The Semi-Infinite Cohomology of Affine Lie Algebras [PDF]

Communications in Mathematical Physics, 1998
We study in detail the semi-infinite or BRST cohomology of general affine Lie algebras. This cohomology is relevant in the BRST approach to gauged WZNW models. We prove the existence of an infinite sequence of elements in the cohomology for non-zero ghost numbers.
openaire   +4 more sources

Coverings of generalized Chevalley groups associated with affine Lie algebras [PDF]

, 1982
Jun Morita
openalex   +1 more source

Time optimal problems on Lie groups and applications to quantum control

Communications in Analysis and Mechanics
In this paper we introduce a natural compactification of a left (right) invariant affine control system on a semi-simple Lie group $ G $ in which the control functions belong to the Lie algebra of a compact Lie subgroup $ K $ of $ G $ and we investigate ...
Velimir Jurdjevic
doaj   +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   +2 more sources

Local charges in involution and hierarchies in integrable sigma-models

Journal of High Energy Physics, 2017
Integrable σ-models, such as the principal chiral model, ℤ T $$ {\mathbb{Z}}_T $$ -coset models for T ∈ ℤ ≥ 2 $$ T\in {\mathbb{Z}}_{\ge 2} $$ and their various integrable deformations, are examples of non-ultralocal integrable field theories described by
S. Lacroix, M. Magro, B. Vicedo
doaj   +1 more source

Rademacher-type formulas for the multiplicities of irreducible highest-weight representations of affine Lie algebras [PDF]

, 1987
Carlos Moreno, Alvany Rocha-Caridi
openalex   +1 more source

Brownian motion and affine Lie algebras

Journal of Functional Analysis, 1989
AbstractAffine Lie algebras are a family of infinite-dimensional Lie algebras that are an important subclass of Kac-Moody algebras. In this paper affine Lie algebras are used to describe a theta function and Brownian motion in the framework of affine Lie algebras is used to verify some equivalent descriptions of a theta function such as those given by ...
openaire   +2 more sources

Locally loop algebras and locally affine Lie algebras

Journal of Algebra, 2015
We investigate a new class of Lie algebras, which are tame locally extended affine Lie algebras of nullity 1. It is an infinite-rank analog of affine Lie algebras, and their centerless cores are a local version of loop algebras. Such algebras are called locally affine Lie algebras and locally loop algebras. We classify both of them.
Yoji Yoshii, Jun Morita
openaire   +3 more sources

AFFINE LIE ALGEBRAS AND CALOGERO SYSTEMS

Kyushu Journal of Mathematics, 1997
It is known that the Hamiltonian of the \(n\)-particle quantum rational Calogero model with a particular value of the parameter can be identified with the radial part of the Laplacian on the space \(p/K\). Here \(p\) is the Lie algebra of symmetric, anti-hermitian, traceless \(n\times n\) matrices and \(K=SO(n)\).
openaire   +3 more sources

Generalized Affine Kac-Moody Lie Algebras Over Localizations of the Polynomial Ring in One Variable [PDF]

, 1994
Murray R. Bremner
openalex   +1 more source