The root system and the core of an extended affine Lie algebra

By B. Allison, Yun Gao. 2001

89 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f456e8dae653183fc532bf1a2cdc843c530eb3a1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Yōji Yoshii
2. Yung Gao
3. B. Allison
4. Georgia Benkart
5. E. Neher
6. A. Pianzola

In Geometry and Topology

1. Yōji Yoshii
2. Yung Gao
3. B. Allison
4. Georgia Benkart
5. E. Neher
6. A. Pianzola

In Statistical and Nonlinear Physics

1. Yōji Yoshii
2. Yung Gao
3. Georgia Benkart

Citations in the corpus

• Vertex Operators Arising from the Homogeneous Realization for (2000, methodology): “Armed with the root graded Lie algebras studied by [BM,BZ,N] and [Se] among others, and some variations of the cyclic (or dihedral) homology, one can expect a complete classification of extended affine Lie algebras of all types as was done in [BGK,BGKN,G1] and [ AG ].”
• Lie Tori---A Simple Characterization of Extended Affine Lie Algebras (2006, methodology): “In fact, it is shown in [ AG , §1] except division property.”
• Coordinate Algebras of Extended Affine Lie Algebras of Type A1 (2000, methodology): “As a corollary, we obtain the classication of Jordan tori of central degree 3, which is used in the classication of cores of EALA’s of type G2 in [ 2 ].”
• Central extensions of Lie algebras graded by finite root systems (2000, background): “2.52 Before ending this section, we recall two basic examples of a unital Jordan algebraJ containing a triangleT . If the algebraJ is assumed to be simple [MN] or if J is a graded Jordan algebra that arises in the study of extended affine Lie algebras of type C2 [ AG2 ], it turns out that these are ”
• Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey (2008, unknown): “The centreless cores of EALAs were described by Allison-Gao [ AG ] and then put into an axiomatic framework as centreless Lie Zn-tori by Yoshii [Yo5] and the author [Neh6].”