Results 31 to 40 of about 66,909 (247)

Staggered and affine Kac modules over A1(1)

Nuclear Physics B, 2020
This work concerns the representation theory of the affine Lie algebra A1(1) at fractional level and its links to the representation theory of the Virasoro algebra.
Jørgen Rasmussen
doaj   +1 more source

Nonassociative Algebras: A Framework for Differential Geometry

International Journal of Mathematics and Mathematical Sciences, 2003
A nonassociative algebra endowed with a Lie bracket, called a torsion algebra, is viewed as an algebraic analog of a manifold with an affine connection.
Lucian M. Ionescu
doaj   +1 more source

Galilean free Lie algebras

Journal of High Energy Physics, 2019
We construct free Lie algebras which, together with the algebra of spatial rotations, form infinite-dimensional extensions of finite-dimensional Galilei Maxwell algebras appearing as global spacetime symmetries of extended non-relativistic objects and ...
Joaquim Gomis, Axel Kleinschmidt, Jakob Palmkvist   +2 more
doaj   +1 more source

Current Algebra of Super WZNW Models [PDF]

, 1993
We derive the current algebra of supersymmetric principal chiral models with a Wess-Zumino term. At the critical point one obtains two commuting super Kac-Moody algebra as expected, but in general there are intertwining fields connecting both right and ...
Abdalla E, Abdalla E, Abdalla E, Abdalla E, Abdalla E, Abdalla E, Abdalla E, Abdalla M C B, Bernard D, Cutright T L, de Vega H J, de Vega H J, de Vega H J, Dirac P A M, Dirac P A M, Dirac P A M, Drinfeld V G, E Abdalla, Eichenherr H, Faddeev L D, Forger M, Knizhnik V G, L E Saltini, Lepowsky J, M C B Abdalla, Maillet J M, Maillet J M, O H G Branco, Polyakov A M, Zamolodchikov A B   +29 more
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Struktur Simplektik pada Aljabar Lie Affine aff(2,R)

Jambura Journal of Mathematics
In this research, we studied the affine Lie algebra aff(2,R). The aim of this research is to determine the 1-form in affine Lie algebra aff(2,R) which is associated with its symplectic structure so that affine Lie algebra aff(2,R) is a Frobenius Lie ...
Aurillya Queency, Edi Kurniadi, Firdaniza Firdaniza   +2 more
doaj   +1 more source

Geometric Theory of Heat from Souriau Lie Groups Thermodynamics and Koszul Hessian Geometry: Applications in Information Geometry for Exponential Families

Entropy, 2016
We introduce the symplectic structure of information geometry based on Souriau’s Lie group thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its moment space, defining physical ...
Frédéric Barbaresco
doaj   +1 more source

Hirota's Solitons in the Affine and the Conformal Affine Toda Models [PDF]

, 1992
We use Hirota's method formulated as a recursive scheme to construct complete set of soliton solutions for the affine Toda field theory based on an arbitrary Lie algebra.
A.H. Zimerman, Aratyn, Arfken, Babelon, Bullough, C.P. Constantinidis, Constantinidis, Doldd, Fring, Gell-Mann, H. Aratyn, Hollowood, J.F. Gomes, L.A. Ferreira, Leznov, Olive, Olive, Rivkin   +17 more
core   +2 more sources

Schur Functions and Affine Lie Algebras

Journal of Algebra, 1998
It is known that irreducible highest weight representations of \(a_{\infty}\), an infinite rank affine Lie algebra, can be realized on the space \(Sym\) of symmetric functions in countably many variables. A canonical basis of weight vectors of \(Sym\) is given by Schur's S-functions.
Séverine Leidwanger, Bernard Leclerc
openaire   +2 more sources

Representations of double affine lie algebras [PDF]

, 2003
We study representations of the double affine Lie algebra associated to a simple Lie algebra. We construct a family of indecomposable integrable representations and identify their irreducible quotients. We also give a condition for the indecomposable modules to be irreducible, this is analogous to a result in the representation theory of quantum affine
Thang D. Le, Vyjayanthi Chari
openaire   +3 more sources

The geometry of Casimir W-algebras

SciPost Physics, 2018
Let $\mathfrak{g}$ be a simply laced Lie algebra, $\widehat{\mathfrak{g}}_1$ the corresponding affine Lie algebra at level one, and $\mathcal{W}(\mathfrak{g})$ the corresponding Casimir W-algebra.
Raphaël Belliard, Bertrand Eynard, Sylvain Ribault
doaj   +1 more source