Representations of Hecke algebras and the Alexander polynomial

Show full item record

Title: Representations of Hecke algebras and the Alexander polynomial
Author: Black, Samson, 1979-
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.
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.
URI: http://hdl.handle.net/1794/10847
Date: 2010-06


Files in this item

Files Size Format View
Black_Samson_phd2010sp.pdf 860.8Kb PDF View/Open

This item appears in the following Collection(s)

Show full item record