A resolution of the Specht module over a Hecke algebra of the symmetric group
by Maisch, Filix P., Ph.D., UNIVERSITY OF CALIFORNIA, SANTA CRUZ, 2010, 41 pages; 3421287

Abstract:

For every composition λ of a positive integer r, we construct a finite chain complex of modules whose terms are direct sums of tensor products of homomorphism spaces between modules over the Hecke algebra of the symmetric group Sr. The construction is combinatorial and can be carried out over every integral domain R. We conjecture that for every partition the chain complex has homology concentrated in one degree (at the end of the complex) and that it is isomorphic to the dual of the Specht module. We prove the exactness in special cases.

 
AdviserChongying Dong
SchoolUNIVERSITY OF CALIFORNIA, SANTA CRUZ
SourceDAI/B 71-09, p. , Sep 2010
Source TypeDissertation
SubjectsTheoretical mathematics
Publication Number3421287
Adobe PDF Access the complete dissertation:
 

» Find an electronic copy at your library.
  Use the link below to access a full citation record of this graduate work:
  http://gateway.proquest.com/openurl%3furl_ver=Z39.88-2004%26res_dat=xri:pqdiss%26rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation%26rft_dat=xri:pqdiss:3421287
  If your library subscribes to the ProQuest Dissertations & Theses (PQDT) database, you may be entitled to a free electronic version of this graduate work. If not, you will have the option to purchase one, and access a 24 page preview for free (if available).

About ProQuest Dissertations & Theses
With over 2.3 million records, the ProQuest Dissertations & Theses (PQDT) database is the most comprehensive collection of dissertations and theses in the world. It is the database of record for graduate research.

The database includes citations of graduate works ranging from the first U.S. dissertation, accepted in 1861, to those accepted as recently as last semester. Of the 2.3 million graduate works included in the database, ProQuest offers more than 1.9 million in full text formats. Of those, over 860,000 are available in PDF format. More than 60,000 dissertations and theses are added to the database each year.

If you have questions, please feel free to visit the ProQuest Web site - http://www.proquest.com - or call ProQuest Hotline Customer Support at 1-800-521-3042.