Results 21 to 30 of about 66,909 (247)
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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Beilinson–Drinfeld Schubert varieties and global Demazure modules
Forum of Mathematics, Sigma, 2021 We compute the spaces of sections of powers of the determinant line bundle on the spherical Schubert subvarieties of the Beilinson–Drinfeld affine Grassmannians. The answer is given in terms of global Demazure modules over the current Lie algebra.
Ilya Dumanski +2 more
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Symplectic Reflection Algebras and Affine Lie Algebras [PDF]
Moscow Mathematical Journal, 2012 26 pages, latex; in the new version, misprints and errors pointed out by the referee were ...
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An application of Lie superalgebras to affine Lie algebras
Journal of Algebra, 1990 AbstractLet g be a finite dimensional complex simple Lie algebra and ĝ the associated affine Lie algebra. Let V be a finite dimensional irreducible g-module and X an integrable highest weight ĝ-module. We show that the tensor product of X with the space L(V) of loops in V is reducible if the highest weight of X is “large” compared with that of V. (This
Andrew Pressley, Vyjayanthi Chari
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A Quantization Procedure of Fields Based on Geometric Langlands Correspondence
International Journal of Mathematics and Mathematical Sciences, 2009 We expose a new procedure of quantization of fields, based on the Geometric Langlands Correspondence. Starting from fields in the target space, we first reduce them to the case of fields on one-complex-variable target space, at the same time increasing ...
Do Ngoc Diep
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BGG reciprocity for current algebras [PDF]
, 2014 It was conjectured by Bennett, Chari, and Manning that a BGG-type reciprocity holds for the category of graded representations with finite-dimensional graded components for the current algebra associated to a simple Lie algebra.
Chari, Vyjayanthi, Ion, Bogdan
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Realization of locally extended affine Lie algebras of type $A_1$ [PDF]
Categories and General Algebraic Structures with Applications, 2016 Locally extended affine Lie algebras were introduced by Morita and Yoshii in [J. Algebra 301(1) (2006), 59-81] as a natural generalization of extended affine Lie algebras.
Gholamreza Behboodi
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