Representations of Hecke algebras and the Alexander polynomial
| dc.contributor.author | Black, Samson, 1979- | |
| dc.date.accessioned | 2010-11-30T01:26:26Z | |
| dc.date.available | 2010-11-30T01:26:26Z | |
| dc.date.issued | 2010-06 | |
| dc.description | 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. | en_US |
| dc.description.abstract | 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. | en_US |
| dc.description.sponsorship | 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 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1794/10847 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | University of Oregon | en_US |
| dc.relation.ispartofseries | University of Oregon theses, Dept. of Mathematics, Ph. D., 2010; | |
| dc.subject | Hecke algebras | en_US |
| dc.subject | Alexander polynomal | en_US |
| dc.subject | Symmetric groups | en_US |
| dc.subject | Markov trace | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | Theoretical mathematics | en_US |
| dc.title | Representations of Hecke algebras and the Alexander polynomial | en_US |
| dc.type | Thesis | en_US |
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