#### Alladi Ramakrishnan Hall

#### Chevalley groups: construction and simplicity

#### Arghya Sadhukhan

##### IMSc

*We will review the construction of Chevalley groups associated to*

arbitrary representation of Lie algebra, utilizing Kostant's Z-form of the

universal enveloping algebra. Further, we will see that in appropriate

context they give rise to a large bulk of finite simple groups, using the

notion of groups with B-N pair. If time permits, we will also exploit some

connection to algebraic groups.

Done