Tuesday, January 10 2017
10:45 - 12:30

Alladi Ramakrishnan Hall

Chevalley groups: construction and simplicity

Arghya Sadhukhan


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.

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