On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry

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Peters, 2003 - Mathematics - 159 pages
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This book investigates the geometry of the quaternion and octonion algebras. Following a comprehensive historical introduction, the special properties of 3- and 4-dimensional Euclidean spaces are illuminated using quaternions, leading to enumerations of the corresponding finite groups of symmetries. The second half of the book discusses the less familiar octonion algebra, concentrating on its remarkable "triality symmetry" after an appropriate study of Moufang loops. The arithmetics of the quaternions and octonions are also described, and the book concludes with a new theory of octonion factorization. Topics covered include: - history - the geometry of complex numbers - quaternions and 3-dimensional groups - quaternions and 4-dimensional groups - the Hurwitz integral quaternions - the composition algebras - Moufang loops - octonions and 8-dimensional geometry - integral octonions - the octonion projective plane

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On Quaternions and Octonions, by John Conway and Derek Smith
On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry by John H. Conway and Derek A. Smith. review by John C. Baez ...
math.ucr.edu/ home/ baez/ octonions/ conway_smith/

(iucr) On quaternions and octonions: their geometry, arithmetic ...
On quaternions and octonions: their geometry, arithmetic and symmetry . By John H. Conway and Derek A. Smith. Natick, MA: ak Peters Ltd, 2003. ...
scripts.iucr.org/ cgi-bin/ paper?ht5040

On quaternions and octonions: Their geometry, arithmetic, and ...
On quaternions and octonions: Their geometry, arithmetic, and symmetry, by. John H. Conway and Derek A. Smith, ak Peters, Ltd., Natick, MA, 2003, ...
www.ams.org/ bull/ 2005-42-02/ S0273-0979-05-01043-8/ S0273-0979-05-01043-8.pdf

On Quaternions and Octonions
This page is a supplement to our book and contains both the current errata and an expanded bibliography (still under construction). ...
ww2.lafayette.edu/ ~smithder/ qando.htm

triality and its uses. Text - Physics Forums Library
[Archive] triality and its uses. Beyond the Standard Model
www.physicsforums.com/ archive/ index.php/ t-175959.html

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252. NAW 5/6 nr. 3 september 2005. Boekbesprekingen. Boekbespr. ekingen. |. Book. Re. vie. w. s. Alle in de vijfde serie van het NAW verschenen ...
www.nieuwarchief.nl/ serie5/ deel06/ sep2005/ pdf/ reviews-sep.pdf

Submarino.com.br Importados: On Quaternions and Octonions - Conway ...
On Quaternions and Octonions : Their Geometry, Arithmetic, and Symmetry Cód. do Produto: 533458 Conway, John Horton/ Smith, Derek Conway, John/ Smith, ...
lojaabril.com.br/ imports_productdetails.asp?Query=& ProdTypeId=9& CatId=31569& PrevCatId=31537& ProdId=533458& ST=BL31569...

Detalle del Libro: On Quaternions and Octonions
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arxiv:0803.0119v1 [math.GM] 2 Mar 2008
Glimpses of the Octonions and Quaternions. History and Today’s Applications in Quantum. Physics (*). A.Krzysztof Kwasniewski. the Dissident ...
aps.arxiv.org/ pdf/ 0803.0119

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