Maximal Subalgebras of Extended Affine Lie Algebra of Type A
LIAO Jianling
XIA Zhangsheng
Abstract：Let T~ be the extended affine Lie algebra of type A1 and of nullity v with extended affine root system R(A1 ,S),which is constructed from a TKK Lie algebra T(J(S))obtained from the Jordan algebra J (S)by the so-called Tits-Kantor-Koecher construction,where S is the 〞smallest〞 semilattice in Euclid-ean space Rn .In this paper,we study maximal subalgebras of extended affine Lie algebra T~ and obtain four kinds of maximal subalgebras.
Keywords：extended affine Lie algebraTKK Lie algebrasemilatticemaximal subalgebra
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 24-28 )