dc.contributor.author |
Bernhardt, Niels |
en |
dc.contributor.author |
Nagy, Paul-Andi |
en |
dc.date.accessioned |
2009-08-28T03:20:36Z |
en |
dc.date.available |
2009-08-28T03:20:36Z |
en |
dc.date.issued |
2006-08 |
en |
dc.identifier.citation |
Department of Mathematics - Research Reports-552 (2006) |
en |
dc.identifier.issn |
1173-0889 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/4977 |
en |
dc.description.abstract |
We study holonomy algebras generated by an algebraic element of the Clifford algebra, or equivalently,the holonomy algebras of certain spin connections in flat space. We provide some series of examples in arbitrary dimensions and prove some general properties of the holonomy algebras under some mild conditions on the generating element. We show that the first non-standard situation to look at appears in dimension $8$ and concerns $4$-forms. In this case complete structure results are obtained when moreover assuming the $4$-form to be self-dual. |
en |
dc.publisher |
Department of Mathematics, The University of Auckland, New Zealand |
en |
dc.relation.ispartofseries |
Research Reports - Department of Mathematics |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.source.uri |
http://www.math.auckland.ac.nz/Research/Reports/view.php?id=552 |
en |
dc.title |
On algebraic torsion forms and their spin holonomy algebras |
en |
dc.type |
Technical Report |
en |
dc.subject.marsden |
Fields of Research::230000 Mathematical Sciences::230100 Mathematics |
en |
dc.rights.holder |
The author(s) |
en |