Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
Dreieckverbande : lineare und quadratische darstellungstheorie
Prof. Marcel Wild completed his PhD with Zurick University and this is a copy of the original works
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | German |
| Published: |
University of Zurich
2012
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867614039899635712 |
|---|---|
| access_status_str | Open Access |
| author | Wild, Marcel Wolfgang |
| author2 | Gross, H. |
| author_browse | Gross, H. Wild, Marcel Wolfgang |
| author_facet | Gross, H. Wild, Marcel Wolfgang |
| author_sort | Wild, Marcel Wolfgang |
| collection | Thesis |
| dc_rights_str_mv | University of Zurich |
| description | Prof. Marcel Wild completed his PhD with Zurick University and this is a copy of the original works |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/70322 |
| institution | Stellenbosch University (South Africa) |
| language | German |
| last_indexed | 2026-06-10T12:45:41.741Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2012 |
| publishDateRange | 2012 |
| publishDateSort | 2012 |
| publisher | University of Zurich |
| publisherStr | University of Zurich |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/70322 Dreieckverbande : lineare und quadratische darstellungstheorie Triangle lattices : linear and quadratic representation theory Wild, Marcel Wolfgang Gross, H. University of Zurich Modular lattices Triangle lattices Linear representation theory Uncountable quadratic spaces Dissertations -- Mathematics Theses -- Mathematics Prof. Marcel Wild completed his PhD with Zurick University and this is a copy of the original works The original works can be found at http://www.hbz.uzh.ch/ ABSTRACT: A linear representation of a modular lattice L is a homomorphism from L into the lattice Sub(V) of all subspaces of a vector space V. The representation theory of lattices was initiated by the Darmstadt school (Wille, Herrmann, Poguntke, et al), to large extent triggered by the linear representations of posets (Gabriel, Gelfand-Ponomarev, Nazarova, Roiter, Brenner, et al). Even though posets are more general than lattices, none of the two theories encompasses the other. In my thesis a natural type of finite lattice is identified, i.e. triangle lattices, and their linear representation theory is advanced. All of this was triggered by a more intricate setting of quadratic spaces (as opposed to mere vector spaces) and the question of how Witt’s Theorem on the congruence of finite-dimensional quadratic spaces lifts to spaces of uncountable dimensions. That issue is dealt with in the second half of the thesis. Doctoral 2012-08-28T06:54:20Z 2012-08-28T06:54:20Z 1987-05 Thesis http://hdl.handle.net/10019.1/70322 de University of Zurich 104 p. application/pdf application/pdf University of Zurich |
| spellingShingle | Modular lattices Triangle lattices Linear representation theory Uncountable quadratic spaces Dissertations -- Mathematics Theses -- Mathematics Wild, Marcel Wolfgang Dreieckverbande : lineare und quadratische darstellungstheorie |
| title | Dreieckverbande : lineare und quadratische darstellungstheorie |
| title_full | Dreieckverbande : lineare und quadratische darstellungstheorie |
| title_fullStr | Dreieckverbande : lineare und quadratische darstellungstheorie |
| title_full_unstemmed | Dreieckverbande : lineare und quadratische darstellungstheorie |
| title_short | Dreieckverbande : lineare und quadratische darstellungstheorie |
| title_sort | dreieckverbande lineare und quadratische darstellungstheorie |
| topic | Modular lattices Triangle lattices Linear representation theory Uncountable quadratic spaces Dissertations -- Mathematics Theses -- Mathematics |
| url | http://hdl.handle.net/10019.1/70322 |
| work_keys_str_mv | AT wildmarcelwolfgang dreieckverbandelineareundquadratischedarstellungstheorie AT wildmarcelwolfgang trianglelatticeslinearandquadraticrepresentationtheory |