Infinite-Dimensional Lie Algebras

Winter 2012

• Infinite-Dimensional Lie Algebras

Hecke Algebras

From Spring 2010.

• Lecture Notes (in progress)
• Lie Methods and Related Combinatorics in Sage. Documentation for Sage 4.3.4 which contains tools for working with root systems, Lie groups, Weyl groups, Iwahori Hecke algebras and other things relevant to the class.
• On some Bruhat decomposition and the structure of the Hecke rings of $p$-adic Chevalley groups. by Iwahori and Matsumoto.
• On the structure of a Hecke ring of a Chevalley group over a finite field by N. Iwahori. (J. Fac. Sci. Math. Tokyo Univ. 1964)
• Casselman: The unramified principal series of p-adic groups I: the spherical function
• Introduction to admissible representations of p-adic groups by Casselman is linked from Casselman's home page.