Results 21 to 30 of about 72,094 (282)
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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Combinatorial bases of principal subspaces for affine Lie algebra of type B_2^(1) [PDF]
, 2012 Marijana Butorac
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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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W3 constructions on affine Lie algebras [PDF]
Physics Letters B, 1992 9 ...
Deckmyn, A., Schrans, S.
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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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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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Affine Lie algebras and tame quivers [PDF]
Selecta Mathematica, 2001 48 ...
Frenkel, Igor +2 more
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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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Covering Algebras I. Extended Affine Lie Algebras
Journal of Algebra, 2002 Covering Algebras of extended affine Lie algebras(EALA's) relative to finite order automorphisms are studied. Conditions are given for when the resulting algebra is again an EALA. This paper deals with affinizations of EALA's relative to finite order automorphisms and these algebras are generalizations of the affine Kac-Moody Lie algebras.
Allison, Bruce +2 more
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Noncomplete affine structures on Lie algebras of maximal class
International Journal of Mathematics and Mathematical Sciences, 2002 Every affine structure on Lie algebra 𝔤 defines a representation of 𝔤 in aff(ℝn). If 𝔤 is a nilpotent Lie algebra provided with a complete affine structure then the corresponding representation is nilpotent.
E. Remm, Michel Goze
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