View Proposal #162
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| ID | 162 |
|---|---|
| First Name | Giovanna |
| Last Name | Llosent |
| Institution | University of Iowa |
| Speaker Category | graduate student |
| Title of Talk | The stable endomorphism group of non-simple string modules over a very particular finite dimensional algebra. |
| Abstract | Let A be a finite dimensional algebra over an algebraic closed field k of characteristic 2 with a quiver representation and relations. Consider all non-simple string modules for this algebra which do not lie in the Auslander-Reiten component of the simple modules. Is there a non-simple string module M for which the group of stable endomorphisms is isomorphic to k? Under the hypothesis above we were able to prove that the underlying string S of the string module M has a substring S' and there is an endomorphism that does not factor through a projective A-module and lies in S'. The maximun lenght of the underlying string of a string module needed for completing the study of all stable endomorphism groups of non-simple string modules was 17. In particular, the cases needed for complete generalization are 54. |
| Subject area(s) | Modular Representation Theory |
| Suitable for undergraduates? | Yes |
| Day Preference | |
| Computer Needed? | N |
| Bringing a laptop? | Y |
| Overhead Needed? | Y |
| Software requests | |
| Special Needs | |
| Date Submitted | 3/1/2006 |
| Year | 2006 |