Results 131 to 140 of about 72,094 (282)
Ternary Associativity and Ternary Lie Algebras at Cube Roots of Unity
AxiomsWe 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
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Toroidal extended affine Lie algebras and vertex algebras [PDF]
, 2021 Fulin Chen, Haisheng Li, Shaobin Tan
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Lie algebras and affine algebraic groups [PDF]
Pacific Journal of Mathematics, 1980 openaire +3 more sources
Fermionic CFTs from topological boundaries in abelian Chern-Simons theories
Journal of High Energy PhysicsA quantum field theory is referred to as bosonic (non-spin) if its physical quantities are independent of the spacetime spin structure, and as fermionic (spin) if they depend on it.
Kohki Kawabata +3 more
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Twisted representations of vertex operator algebras associated to affine Lie algebras [PDF]
, 2016 Jinwei Yang
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Basic Representations for Classical Affine Lie Algebras
Journal of Algebra, 2000 Presented here is a construction of certain bases of basic representations for classical affine Lie algebras. The starting point is a Z-grading g = g_{-1} + g_0 + g_1 of a classical Lie algebra g and the corresponding decomposition tilde g = tilde g_{-1} + tilde g_0 + tilde g_1 of the affine Lie algebra tilde g. By using a generalization of Frenkel-Kac
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Whittaker modules for the affine Lie algebra A_1 ^(1) [PDF]
, 2014 Dražen Adamović, R. Lu, K. Zhao
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Integral structures in extended affine Lie algebras [PDF]
Journal of Algebra, 2021 S. Azam, A. Farahmand Parsa, M. Farhadi
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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 +2 more
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Quantized affine Lie algebras and diagonalization of braid generators [PDF]
, 1994 M. D. Gould, Yao-Zhong Zhang
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