Lie-Algebraic Approaches to Highly Symmetric Geometries

Winther, Henrik

dc.contributor.advisor	Kruglikov, Boris
dc.contributor.author	Winther, Henrik
dc.date.accessioned	2017-04-04T14:09:57Z
dc.date.available	2017-04-04T14:09:57Z
dc.date.issued	2017-02-24
dc.description.abstract	We facilitate the exploration and development of geometry by symmetry-based methods. To this end, we answer several natural questions that appear when considering symmetries, for particular examples of geometries	en_US
dc.description.doctoraltype	ph.d.	en_US
dc.description.popularabstract	Many geometric structures have symmetries. For example, a hexagon can be rotated by multiples of 60 degrees or flipped about an axis, while a circle can be rotated by any number of degrees without changing it. The fundamental difference between these examples is that the hexagon has only finitely many symmetries, while the circle has a continuous set. The latter kind of symmetries are called Lie groups. We exploit the presence of such symmetries to explore and answer questions about more complicated geometries.	en_US
dc.description	The papers 3, 4, 5, and 6 are not available in Munin. <br> Paper 3: Kruglikov, B., Winther, H., Zalabová, L.: “Submaximally Symmetric Almost Quaternionic Structures”. (Manuscript). <br> Paper 4: Chrysikos, I., Gustad, C. O. C., Winther, H.: “Invariant connections and r-Einstein structures on isotropy irreducible spaces”. (Manuscript). <br> Paper 5: Kruglikov, B., Winther, H.: “Reconstruction from Representations: Jacobi via Cohomology”. (Manuscript). <br> Paper 6: Kruglikov, B., Winther, H.: “Nondegenerate para-complex structures in 6D with large symmetry”. (Manuscript).	en_US
dc.identifier.isbn	978-82-8236-246-7 (trykt) og 978-82-8236-247-4 (pdf)
dc.identifier.uri	https://hdl.handle.net/10037/10922
dc.language.iso	eng	en_US
dc.publisher	UiT Norges arktiske universitet	en_US
dc.publisher	UiT The Arctic University of Norway	en_US
dc.rights.accessRights	openAccess	en_US
dc.rights.holder	Copyright 2017 The Author(s)
dc.rights.uri	https://creativecommons.org/licenses/by-nc-sa/3.0	en_US
dc.rights	Attribution-NonCommercial-ShareAlike 3.0 Unported (CC BY-NC-SA 3.0)	en_US
dc.subject	VDP::Mathematics and natural science: 400::Mathematics: 410::Topology/geometry: 415	en_US
dc.subject	VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Topologi/geometri: 415	en_US
dc.title	Lie-Algebraic Approaches to Highly Symmetric Geometries	en_US
dc.type	Doctoral thesis	en_US
dc.type	Doktorgradsavhandling	en_US