Results 1 to 10 of about 67,761 (247)
Generalized teleparallel de Sitter geometries [PDF]
European Physical Journal C: Particles and Fields, 2023 Theories of gravity based on teleparallel geometries are characterized by the torsion, which is a function of the coframe, derivatives of the coframe, and a zero curvature and metric compatible spin-connection.
A. A. Coley +3 more
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The Existence of Affine Structures on the Borel Subalgebra of Dimension 6
ComTech, 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
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ODE/IM correspondence and supersymmetric affine Toda field equations
Nuclear 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
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Ruang Fase Tereduksi Grup Lie Aff (1)
Jambura 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
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Lie algebras of differentiations of linear algebras over a field
Дифференциальная 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
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A new construction of the Drinfeld–Sokolov hierarchies
Partial 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
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Homogeneous spaces of unsolvable Lie groups that do not admit equiaffine connections of nonzero curvature [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 An important subclass among homogeneous spaces is formed by isotropically-faithful homogeneous spaces, in particular, this subclass contains all homogeneous spaces admitting invariant affine connection.
Mozhey, Natalya Pavlovna
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Novikov structures on solvable Lie algebras [PDF]
, 2005 We study Novikov algebras and Novikov structures on finite-dimensional Lie algebras. We show that a Lie algebra admitting a Novikov structure must be solvable.
Bakalov +14 more
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A non-reductive N=4 superconformal algebra [PDF]
, 2001 A new N=4 superconformal algebra (SCA) is presented. Its internal affine Lie algebra is based on the seven-dimensional Lie algebra su(2)\oplus g, where g should be identified with a four-dimensional non-reductive Lie algebra.
Ali A, Giveon A, Jørgen Rasmussen
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ODE/IM correspondence and Bethe ansatz for affine Toda field equations
Nuclear Physics B, 2015 We study the linear problem associated with modified affine Toda field equation for the Langlands dual gˆ∨, where gˆ is an untwisted affine Lie algebra.
Katsushi Ito, Christopher Locke
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