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.identifier.uri |
http://hdl.handle.net/1794/10847 |
|
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.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 |