Allen Knutson's other class

Monday, April 09, 2007

Fri Apr 6

This was a one-shot lecture in case prospective students showed up.

Composites of left adjoints are left adjoints.
In particular, the symmetric algebra of a module is a quotient of the tensor algebra.
The universal enveloping algebra of an anticommuting algebra.
The Jacobi identity.
Lie algebras.
Statement of the Poincare-Birkhoff-Witt theorem.

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