Results 31 to 40 of about 67,761 (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
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Special symplectic Lie groups and hypersymplectic Lie groups [PDF]

, 2010
A special symplectic Lie group is a triple $(G,\omega,\nabla)$ such that $G$ is a finite-dimensional real Lie group and $\omega$ is a left invariant symplectic form on $G$ which is parallel with respect to a left invariant affine structure $\nabla$.
A. Andrada, A. Andrada, A. Andrada, A. Diatta, A. Fino, A. Lichnerowicz, A.A. Balinskii, B.Y. Chu, C. Bartocci, C.M. Bai, C.M. Bai, C.M. Bai, Chengming Bai, D. Alekseevsky, D. Alekseevsky, D. Burde, D. Burde, H. Kamada, H. Ooguri, J.-H. Lu, J.-L. Loday, M. Takeuchi, M.L. Barberis, N.B. Boyom, N.B. Boyom, N.J. Hitchin, P. Libermann, R. Schafer, S. Kaneyuki, S. Majid, V. Chari, V.G. Drinfeld, Xiang Ni   +32 more
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Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey [PDF]

, 2010
This is a survey on extended affine Lie algebras and related types of Lie algebras, which generalize affine Lie algebras.
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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
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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
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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
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Four-Point Affine Lie Algebras [PDF]

Proceedings of the American Mathematical Society, 1995
We consider Lie algebras of the form g ⊗ R \mathfrak {g} \otimes R where g \mathfrak {g} is a simple complex Lie algebra and R = C [ s , s − 1
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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
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Double affine Lie algebras and finite groups

, 2009
We introduce and begin to study Lie theoretical analogs of symplectic reflection algebras for a finite cyclic group, which we call "cyclic double affine Lie algebra". We focus on type A : in the finite (resp.
Guay, Nicolas, Hernandez, David, Loktev, Sergey   +2 more
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Isotopy for Extended Affine Lie Algebras and Lie Tori [PDF]

, 2010
Minor ...
Allison, Bruce, Faulkner, John
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