Results 31 to 40 of about 297,060 (285)
Isotopy for Extended Affine Lie Algebras and Lie Tori [PDF]
, 2010 Minor ...
Bruce Allison, John R. Faulkner
openalex +3 more sources
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
doaj +1 more source
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
doaj +1 more source
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 ...
openaire +4 more sources
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
openaire +2 more sources
Uhlenbeck Spaces via Affine Lie Algebras [PDF]
, 2007 Let $G$ be an almost simple simply connected group over $\BC$, and let $\Bun^a_G(\BP^2,\BP^1)$ be the moduli scheme of principal $G$-bundles on the projective plave $\BP^2$, of second Chern class $a$, trivialized along a line $\BP^1\subset \BP^2$. We define the Uhlenbeck compactification $\fU^a_G$ of $\Bun^a_G(\BP^2,\BP^1)$, which classifies, roughly ...
Alexander Braverman +2 more
openalex +5 more sources
Representations of double affine lie algebras [PDF]
, 2003 We study representations of the double affine Lie algebra associated to a simple Lie algebra. We construct a family of indecomposable integrable representations and identify their irreducible quotients. We also give a condition for the indecomposable modules to be irreducible, this is analogous to a result in the representation theory of quantum affine
Thang D. Le, Vyjayanthi Chari
openaire +3 more sources
Hyperbolization of affine Lie algebras
, 2023 In 1983, Feingold and Frenkel posed a question about possible relations between affine Lie algebras, hyperbolic Kac-Moody algebras and Siegel modular forms. In this paper we give an automorphic answer to this question and its generalization. We classify hyperbolic Borcherds-Kac-Moody superalgebras whose super-denominators define reflective automorphic ...
Sun, Kaiwen +2 more
openaire +2 more sources
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
doaj +1 more source
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
doaj