Irreducible modules for extended affine Lie algebras [PDF]
Journal of Algebra, 2010 We construct irreducible modules for twisted toroidal Lie algebras and extended affine Lie algebras. This is done by combining the representation theory of untwisted toroidal algebras with the technique of thin coverings of modules. We illustrate our method with examples of extended affine Lie algebras of Clifford type.
Yuly Billig, Michael Lau
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Bethe Ansatz and the Spectral Theory of Affine Lie algebra–Valued Connections II: The Non Simply–Laced Case [PDF]
Communications in Mathematical Physics, 2016 We assess the ODE/IM correspondence for the quantum $${\mathfrak{g}}$$g-KdV model, for a non-simply laced Lie algebra $${\mathfrak{g}}$$g. This is done by studying a meromorphic connection with values in the Langlands dual algebra of the affine Lie ...
D. Masoero +2 more
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Andrews-Gordon type series for the level 5 and 7 standard modules of the affine Lie algebra $A^{(2)}_2$ [PDF]
, 2020 We give Andrews-Gordon type series for the principal characters of the level 5 and 7 standard modules of the affine Lie algebra $A^{(2)}_{2}$. We also give conjectural series for some level 2 modules of $A^{(2)}_{13}$.
Motoki Takigiku, Shunsuke Tsuchioka
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Trigonometric Lie algebras, affine Lie algebras, and vertex algebras [PDF]
Advances in Mathematics, 2020 31 ...
Li, Haisheng, Tan, Shaobin, Wang, Qing
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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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Quasi-particle bases of principal subspaces of the affine Lie algebra of type $G_2^{(1)}$ [PDF]
, 2016 The aim of this work is to construct the quasi-particle basis of principal subspace of standard module of highest weight $k\Lambda_0$ of level $k\geq 1$ of affine Lie algebra of type $G_2^{(1)}$ by means of which we obtain the basis of principal subspace
Marijana Butorac
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Bethe Ansatz and the Spectral Theory of Affine Lie Algebra-Valued Connections I. The simply-laced Case [PDF]
, 2015 We study the ODE/IM correspondence for ODE associated to $${\widehat{\mathfrak{g}}}$$g^-valued connections, for a simply-laced Lie algebra $${\mathfrak{g}}$$g.
D. Masoero +2 more
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