# Kenji Iohara (Université de Lyon)

## On classification of $$\mathbb{Z}^N$$-graded Lie algebras and their representations

The classification of simple $$\mathbb{Z}^N$$-graded Lie algebras with multiplicity 1 will be briefly explained. A generalization of the Witt algebra appears in this classification. Its certain type of representations will be also given together with its super-analogue.

Lecture Notes