Results 11 to 20 of about 66,909 (247)

Vertex algebras associated with elliptic affine Lie algebras [PDF]

open access: greenCommunications in Contemporary Mathematics, 2009
We associate what we call vertex ℂ((z))-algebras and their modules in a certain category with elliptic affine Lie algebras. To a certain extent, this association is similar to that of vertex algebras and their modules with affine Lie algebras. While the notion of vertex ℂ((z))-algebra is a special case of that of quantum vertex ℂ((z))-algebra, which ...
Haisheng Li, Jiancai Sun
openalex   +5 more sources

Trigonometric Lie algebras, affine Lie algebras, and vertex algebras [PDF]

open access: yesAdvances in Mathematics, 2020
31 ...
Qing Wang, Haisheng Li, Shaobin Tan
openaire   +3 more sources

The Existence of Affine Structures on the Borel Subalgebra of Dimension 6

open access: yesComTech, 2021
The notion of affine structures arises in many fields of mathematics, including convex homogeneous cones, vertex algebras, and affine manifolds. On the other hand, it is well known that Frobenius Lie algebras correspond to the research of homogeneous ...
Edi Kurniadi   +2 more
doaj   +1 more source

ODE/IM correspondence and supersymmetric affine Toda field equations

open access: yesNuclear Physics B, 2022
We study the linear differential system associated with the supersymmetric affine Toda field equations for affine Lie superalgebras, which has a purely odd simple root system.
Katsushi Ito, Mingshuo Zhu
doaj   +1 more source

Ruang Fase Tereduksi Grup Lie Aff (1)

open access: yesJambura Journal of Mathematics, 2021
ABSTRAK Dalam artikel ini dipelajari ruang fase tereduksi dari suatu grup Lie khususnya untuk grup Lie affine  berdimensi 2. Tujuannya adalah untuk mengidentifikasi ruang fase tereduksi dari  melalui orbit coadjoint buka di titik tertentu pada ruang ...
Edi Kurniadi
doaj   +1 more source

Lie algebras of differentiations of linear algebras over a field

open access: yesДифференциальная геометрия многообразий фигур, 2021
In this paper, we study a system of linear equations that define the Lie algebra of differentiations DerA of an arbitrary finite-dimensional linear algebra over a field.
A. Ya. Sultanov   +2 more
doaj   +1 more source

Affine Lie algebras and tame quivers [PDF]

open access: yesSelecta Mathematica, 2001
48 ...
Maxim Vybornov   +3 more
openaire   +3 more sources

A new construction of the Drinfeld–Sokolov hierarchies

open access: yesPartial Differential Equations in Applied Mathematics, 2022
The Drinfeld–Sokolov hierarchies are integrable hierarchies associated with every affine Lie algebra. We present a new construction of such hierarchies, which only requires the computations of a formal Laurent series.
Paolo Casati
doaj   +1 more source

Modules for double affine Lie algebras [PDF]

open access: yesFrontiers of Mathematics in China, 2015
15 pages, 15 ...
Chunhua Wang, Naihuan Jing, Naihuan Jing
openaire   +3 more sources

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