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Books on the topic 'Octonians'

Author: Grafiati

Published: 4 June 2025

Last updated: 23 June 2025

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1

Springer, Tonny A., and Ferdinand D. Veldkamp. Octonions, Jordan Algebras and Exceptional Groups. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-12622-6.

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2

Conway, John Horton. On quaternions and octonions: Their geometry, arithmetic, and symmetry. AK Peters, 2003.

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3

Dixon, Geoffrey M. Division algebras: Octonions, quaternions, complex numbers, and the algebraic design of physics. Kluwer Academic Publishers, 1994.

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4

H, Salzmann, ed. Compact projective planes: With an introduction to octonion geometry. Walter de Gruyter, 1995.

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5

Schray, Jörg. Octonions and supersymmetry. 1994.

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6

Smith, Derek A., and John Horton Conway. On Quaternions and Octonions. CRC Press LLC, 2003.

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7

Conway, John Horton, and Derek Smith. On Quaternions and Octonions. AK Peters, 2003.

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8

Smith, Derek A., and John Horton Conway. On Quaternions and Octonions. CRC Press LLC, 2003.

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9

Smith, Derek A., and John Horton Conway. On Quaternions and Octonions. CRC Press LLC, 2003.

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10

Smith, Derek A., and John Horton Conway. On Quaternions and Octonions. CRC Press LLC, 2003.

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11

Geometry of the Octonions. World Scientific Publishing Co Pte Ltd, 2015.

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12

Geometry of the Octonions. World Scientific Publishing Co Pte Ltd, 2015.

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13

The Geometry Of The Octonions. World Scientific Publishing Company, 2013.

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14

Springer, Tonny A., and Ferdinand D. Veldkamp. Octonions, Jordan Algebras and Exceptional Groups. Springer, 2013.

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15

Springer, Tonny A., and Ferdinand D. Veldkamp. Octonions, Jordan Algebras, and Exceptional Groups. Springer Berlin / Heidelberg, 2010.

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16

Octonions: A Development of Clifford's Bi-Quaterions. Forgotten Books, 2015.

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17

Springer, Tonny A., and Ferdinand D. Veldkamp. Octonions, Jordan Algebras, and Exceptional Groups (Springer Monographs in Mathematics). Springer, 2000.

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18

The Seven Spaces of Creation: Octonion Cosmology. Pingree-Hill Publishing, 2020.

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19

Essence of Eternity: Quaternion & Octonion SuperStandard Theories. Janus Associates Incorporated, 2020.

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20

Octonion-Like Dna-Based Life, Universe Expansion Is Decay, Emerging New Physics: Supplement to Beyond Octonion Cosmology. Janus Associates Incorporated, 2021.

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21

Grigoryan, Artyom M., and Sos S. Agaian. Quaternion and Octonion Color Image Processing with MATLAB. SPIE, 2018. http://dx.doi.org/10.1117/3.2278810.

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22

Beyond Octonion Cosmology: The Substratum in Primordial Space. Janus Associates Incorporated, 2021.

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23

Grigoryan, Artyom M., and Sos S. Agaian. Quaternion and Octonion Color Image Processing with MATLAB. SPIE, 2018.

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24

Dixon, G. M. Division Algebras : : Octonions Quaternions Complex Numbers and the Algebraic Design of Physics. Springer, 2013.

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25

Dixon, Geoffrey M. Division Alebras: Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics. Springer, 2010.

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26

Grundhöfer, Theo, Hermann Hähl, Rainer Löwen, Helmut Salzmann, and Dieter Betten. Compact Projective Planes: With an Introduction to Octonion Geometry. de Gruyter GmbH, Walter, 2011.

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27

Quaternion and Octonion Color Image Processing with MATLAB: Pm279. SPIE, 2018.

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28

Hähle, Hermann. Compact Projective Planes: With an Introduction to Octonion Geometry. De Gruyter, Inc., 1995.

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29

Okubo, Susumo. Introduction to Octonion and Other Non-Associative Algebras in Physics. Cambridge University Press, 2011.

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30

Introduction to octonion and other non-associative algebras in physics. Cambridge University Press, 1995.

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31

Okubo, Susumo. Introduction to Octonion and Other Non-Associative Algebras in Physics. Cambridge University Press, 2009.

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32

From Octonion Cosmology to the Unified SuperStandard Theory of Particles. Pingree-Hill Publishing, 2020.

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33

Veneruso, John Edward. The Alien Seed Bank : Pre-arrival: Chronicles of Octonia. CreateSpace Independent Publishing Platform, 2018.

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34

Why is the Universe Real? From Quaternion & Octonion to Real Coordinates. Pingree-Hill Publishing, 2020.

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35

Pioneering The Cosmos : Second Edition of From Octonion Cosmology to the Unified SuperStandard Theory of Particles : Second Edition of From Octonion Cosmology to: Second Edition of. Pingree-Hill Publishing, 2021.

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36

21st Century Natural Philosophy of Octonion Cosmology, and Predestination, Fate, and Free Will. Janus Associates Incorporated, 2021.

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37

Quantum Space Theory with Application to Octonion Cosmology & Possibly to Fermionic Condensed Matter. Janus Associates Incorporated, 2021.

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38

Science of Creation: New Quantum Field Theory of Spaces with Octonion Cosmology Consequences. Janus Associates Incorporated, 2021.

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39

Bairaktaris, Dimitrios E. 8x2 Dimensions of the Particles: From Structural Mechanics to Particle Physics Through Octonion Mathematics. Akakia Publications, 2021.

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40

Stroppel, Markus, Helmut Salzmann, Dieter Betten, Theo Grundhofer, Hermann Hahl, and Rainer Lowen. Compact Projective Planes: With an Introduction to Octonion Geometry (De Gruyter Expositions in Mathematics). Walter de Gruyter, 1996.

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41

The Origin of Universes: Of Quaternion Unified SuperStandard Theory and of the Octonion Megaverse. Pingree-Hill Publishing, 2020.

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42

M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Residually Pseudo-Split Buildings. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0033.

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This chapter presents results about a residually pseudo-split Bruhat-Tits building Ξ‎L. It begins with a case for some quadratic space of type E⁶, E₇, and E₈ in order to identify an unramified extension such that the residue field is a pseudo-splitting field. It then considers a wild quaternion or octonion division algebra and the existence of an unramified quadratic extension L/K such that L is a splitting field of the quaternion division algebra. It also discusses the properties of an unramified extension L/K and shows that every exceptional Bruhat-Tits building is the fixed point building of a strictly semi-linear descent group of a residually pseudo-split building.

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43

M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Strictly Semi-linear Automorphisms. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0030.

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Abstract:

This chapter considers the action of a strictly semi-linear automorphism fixing a root on the corresponding root group. It begins with the hypothesis whereby Δ‎ is a Moufang spherical building and Π‎ is the Coxeter diagram of Δ‎; here the chapter fixes an apartment Σ‎ of Δ‎ and a root α‎ of Σ‎. The discussion then turns to a number of assumptions about an isomorphism of Moufang sets, anisotropic quadratic space, and root group sequence, followed by a lemma where E is an octonion division algebra with center F and norm N and D is a quaternion subalgebra of E. The chapter concludes with three versions of what is really one result about fixed points of non-linear automorphisms of the Moufang sets.

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44

Okubo, Susumo. Introduction to Octonion and Other Non-Associative Algebras in Physics (Montroll Memorial Lecture Series in Mathematical Physics). Cambridge University Press, 2005.

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45

Pioneering the Octonion Cosmos II God-Space: With a QED-like Hubble Expansion Model of Universes and Megaverses. Pingree-Hill Publishing, 2021.

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46

Beyond Octonion Cosmology II: Origin of the Quantum; a New Generalized Field Theory ; a Proof of the Spectrum of Universes; Atoms in Higher Universes. Pingree-Hill Publishing, 2021.

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47

Integration of General Relativity and Quantum Theory: Octonion Cosmology, GiFT, Creation/Annihilation Spaces CASe, Reduction of Spaces to a Few Fermions and Symmetries in Fundamental Frames. Pingree-Hill Publishing, 2021.

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