viii, 50 p. : ill. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number. / We study a certain quotient of the Iwahori-Hecke algebra of the symmetric group Sd , called the super Temperley-Lieb algebra STLd. The Alexander polynomial of a braid can be computed via a certain specialization of the Markov trace which descends to STLd. Combining this point of view with Ocneanu's formula for the Markov trace and Young's seminormal form, we deduce a new state-sum formula for the Alexander polynomial. We also give a direct combinatorial proof of this result. / Committee in charge: Arkady Vaintrob, Co-Chairperson, Mathematics
Jonathan Brundan, Co-Chairperson, Mathematics;
Victor Ostrik, Member, Mathematics;
Dev Sinha, Member, Mathematics;
Paul van Donkelaar, Outside Member, Human Physiology
| Identifer | oai:union.ndltd.org:uoregon.edu/oai:scholarsbank.uoregon.edu:1794/10847 |
| Date | 06 1900 |
| Creators | Black, Samson, 1979- |
| Publisher | University of Oregon |
| Source Sets | University of Oregon |
| Language | en_US |
| Detected Language | English |
| Type | Thesis |
| Relation | University of Oregon theses, Dept. of Mathematics, Ph. D., 2010; |
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