Results 141 to 150 of about 297,060 (285)

Generalized Affine Kac-Moody Lie Algebras Over Localizations of the Polynomial Ring in One Variable [PDF]

, 1994
Murray R. Bremner
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Ternary Associativity and Ternary Lie Algebras at Cube Roots of Unity

Axioms
We propose a new approach to extend the notion of commutator and Lie algebra to algebras with ternary multiplication laws. Our approach is based on the ternary associativity of the first and second kinds.
Viktor Abramov
doaj   +1 more source

Mullineux involution and twisted affine Lie algebras

Journal of Algebra, 2006
We use Naito-Sagaki's work [S. Naito & D. Sagaki, J. Algebra 245 (2001) 395--412, J. Algebra 251 (2002) 461--474] on Lakshmibai-Seshadri paths fixed by diagram automorphisms to study the partitions fixed by Mullineux involution. We characterize the set of Mullineux-fixed partitions in terms of crystal graphs of basic representations of twisted ...
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Classification of simple weight modules over affine Lie algebras [PDF]

arXiv, 2009
All simple weight modules with finite dimensional weight spaces over affine Lie algebras are classified.
arxiv  

Whittaker modules for the affine Lie algebra A_1 ^(1) [PDF]

, 2014
Dražen Adamović, R. Lu, K. Zhao
semanticscholar   +1 more source

Lie algebras and affine algebraic groups [PDF]

Pacific Journal of Mathematics, 1980
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Representations of toroidal extended affine Lie algebras

Journal of Algebra, 2007
We show that the representation theory for the toroidal extended affine Lie algebras is controlled by a vertex operator algebra which is a tensor product of four VOAs: a sub-VOA of the hyperbolic lattice VOA, two affine VOAs and a Virasoro VOA. A tensor product of irreducible modules for these VOAs admits the structure of an irreducible module for the ...
openaire   +3 more sources

Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time

Symmetry, Integrability and Geometry: Methods and Applications, 2012
Difference-difference systems are suggested corresponding to the Cartan matrices of any simple or affine Lie algebra. In the cases of the algebras $A_N$, $B_N$, $C_N$, $G_2$, $D_3$, $A_1^{(1)}$, $A_2^{(2)}$, $D^{(2)}_N$ these systems are proved to be ...
Rustem Garifullin, Ismagil Habibullin, Marina Yangubaeva   +2 more
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Affine Lie algebras, string junctions and 7-branes [PDF]

, 1999
Oliver DeWolfe
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Affine Lie algebraic origin of constrained KP hierarchies [PDF]

, 1995
H. Aratyn, J. F. Gomes, A. H. Zímerman
openalex   +1 more source