REU Homepage of Christopher Sadowski


Root System of G2

(Root system of G_2)

Representation Theory of Affine Lie Algebras and Vertex Operator Algebras

Advisors: William Cook and Yi-Zhi Huang

My email: csadowski [at] gmail [dot] com

For a quick rundown of the things this project deals with (basic definitions, ideas, etc.), click here: Notes and Definitions

For an example of an affine Lie algebra module which has vertex operator algebra structure, click here: A semi-construction

REU Final Presentations: For my slideshow presentation along with some results, click here: Slides and Results

Slides from my talk at the GSUMC: Slides

Announcements:

April 2008: I will be speaking about my project and results on Saturday, April 12, 2008 at the Garden State Undergraduate Math Conference.  Slides will be posted shortly, or come to the conference to see them presented :).

March 2008:  After a Fall semester hiatus, we've resumed work on the project. Details and paper to come.

Update(8/22/07): We have found patterns and have results for all simple Lie algebras!  We now know the behavior for ALL simple Lie algebras, a huge step up from the results in the slides above. Bill Cook has written a Maple program that has verified that our patterns hold.  Only proofs remain.

August 2007: Types A_1, A_2, A_3, A_4, D_4, E_8, F_4, G_2 have been worked out, and things seem messy.  See the REU Final Presentations slides posted above for more
information.

Links:

My Rutgers Math Homepage

Gmail

Last Update: 06/20/08

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