Division algebra representations of SO(4,2)

Graduate Thesis Or Dissertation

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Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/9w032538t

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Attribute Name	Values
Creator	Kincaid, Joshua James
Abstract	Representations of SO(4,2;R) are constructed using 4 x 4 and 2 x 2 matrices with elements in H' ⊗ C . Using 2 x 2 matrix representations of C and H', the 4 x 4 representation is interpreted in terms of 16 x 16 real matrices. Finally, the known isomorphism between the conformal group and SO(4,2;R) is written explicitly in terms of the 4 x 4 representation. The 4 x 4 construction should generalize to matrices with elements in K' ⊗ K for K any normed division algebra over the reals and K' any split algebra over the reals.
License	All rights reserved
Resource Type	Masters Thesis
Date Available	2012-07-06T15:38:52+00:00
Date Issued	2012-06-19
Degree Level	Master's
Degree Name	Master of Science (M.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	2013
Advisor	Dray, Tevian
Committee Member	Manogue, Corinne A. Johnson, Colin Walsh, Mark
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Division algebras Matrix groups Lie groups Magic squares
Rights Statement	In Copyright
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Replaces	http://hdl.handle.net/1957/30682

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