Locally extended affine Lie algebras
We propose a new simplified definition of extended affine Lie
algebras (EALAs for short), and
also discuss a general version of extended affine Lie algebras, called
locally extended affine Lie
algebras (LEALAs for short). We prove a conjecture by V. Kac for
LEALAs. It turns out that the root
system of a LEALA becomes a locally finite version of extended affine
root systems. Finally, several
examples of new EALAs and LEALAs are introduced, and we classify LEALAs
of nullity 0 with connection to
locally finite split simple Lie algebras.
J. Morita < morita@math.tsukuba.ac.jp >
Y. Yoshii < yoji.yoshii@ndsu.nodak.edu >