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Books on the topic 'Clifford algebras'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Kondrat'ev, Gennadiy. Clifford Geometric Algebra. INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1832489.

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The monograph is devoted to the fundamental aspects of geometric algebra and closely related issues. The category of Clifford algebras is considered as the conjugate category of vector spaces with a quadratic form. Possible constructions in this category and internal algebraic operations of an algebra with a geometric interpretation are studied. An application to the differential geometry of a Euclidean manifold based on a shape tensor is included. We consider products, coproducts and tensor products in the category of associative algebras with application to the decomposition of Cliffor

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2

Abłamowicz, Rafał, ed. Clifford Algebras. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-1-4612-2044-2.

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3

Klawitter, Daniel. Clifford Algebras. Springer Fachmedien Wiesbaden, 2015. http://dx.doi.org/10.1007/978-3-658-07618-4.

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4

Baylis, William E., ed. Clifford (Geometric) Algebras. Birkhäuser Boston, 1996. http://dx.doi.org/10.1007/978-1-4612-4104-1.

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5

Artibano, Micali, ed. Quadratic mappings and Clifford algebras. Birkhäuser, 2008.

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6

Lounesto, Pertti. Clifford algebras and spinors. Cambridge University Press, 1997.

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7

Perwass, Christian. Geometric algebra with applications in engineering. Springer, 2009.

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8

Meinrenken, Eckhard. Clifford Algebras and Lie Theory. Springer Berlin Heidelberg, 2013.

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9

Snygg, John. Clifford algebras: Computational toolfor physicists. Oxford University Press, 1997.

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10

Crumeyrolle, Albert. Orthogonal and Symplectic Clifford Algebras. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-015-7877-6.

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11

Ablamowicz, Rafał, and Pertti Lounesto, eds. Clifford Algebras and Spinor Structures. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8422-7.

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12

Meinrenken, Eckhard. Clifford Algebras and Lie Theory. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36216-3.

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13

Sommer, Gerald, ed. Geometric Computing with Clifford Algebras. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-662-04621-0.

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14

Hahn, Alexander J. Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups. Springer US, 1994. http://dx.doi.org/10.1007/978-1-4684-6311-8.

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15

Chevalley, Claude. The Algebraic Theory of Spinors and Clifford Algebras. Edited by Pierre Cartier and Catherine Chevalley. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-60934-3.

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16

NATO, and SERC Workshop on Clifford Algebras and Their Applications in Mathematical Physics (1st 1985 Canterbury England). Clifford algebras and their applications in mathematical physics. D. Reidel, 1986.

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17

Gilbert, John E. Clifford algebras and Dirac operators in harmonic analysis. Cambridge University Press, 1991.

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18

Porteous, Ian R. Clifford algebras and the classical groups. Cambridge University Press, 1995.

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19

Crumeyrolle, A. Orthogonal and symplectic Clifford algebras: Spinor structures. Kluwer Academic Publishers, 1990.

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20

Daviau, Claude. The standard model of quantum physics Clifford algebra. World Scientific, 2015.

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21

Krausshar, Rolf Soren. Eisenstein series in Clifford analysis. Wissenschaftsverlag Mainz, 2000.

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22

Karpilovsky, Gregory. Clifford theory for group representations. North-Holland, 1989.

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23

Abłamowicz, Rafał, Josep M. Parra, and Pertti Lounesto, eds. Clifford Algebras with Numeric and Symbolic Computations. Birkhäuser Boston, 1996. http://dx.doi.org/10.1007/978-1-4615-8157-4.

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24

Oziewicz, Zbigniew, Bernard Jancewicz, and Andrzej Borowiec, eds. Spinors, Twistors, Clifford Algebras and Quantum Deformations. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1719-7.

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25

Ablamowicz, Rafal, William E. Baylis, Thomas Branson, et al. Lectures on Clifford (Geometric) Algebras and Applications. Edited by Rafal Abłamowicz and Garret Sobczyk. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8190-6.

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26

Banks, Stephen P. Clifford algebras, dynamical systems and periodic orbits. University of Sheffield, Dept. of Automatic Control and Systems Engineering, 1995.

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27

1955-, Ryan John, ed. Clifford algebras in analysis and related topics. CRC Press, 1995.

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28

Rafał, Abłamowicz, Lounesto Pertti, and Parra Josep M. 1952-, eds. Clifford algebras with numeric and symbolic computations. Birkhäuser, 1996.

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29

Corrochano, Eduardo Bayro, and Gerik Scheuermann. Geometric algebra computing: In engineering and computer science. Springer, 2010.

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30

Ryan, John. Clifford Algebras and their Applications in Mathematical Physics: Volume 2: Clifford Analysis. Birkhäuser Boston, 2000.

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31

Rafał, Abłamowicz, ed. Clifford algebras and their applications in mathematical physics. Birkhäuser, 2000.

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32

Snygg, John. Clifford algebra: A computational tool for physicists. Oxford University Press, 1997.

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33

Clifford Algebras. Island Press, 2003.

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34

Garling, D. J. H. Clifford Algebras: An Introduction. Cambridge University Press, 2011.

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35

Garling, D. J. H. Clifford Algebras: An Introduction. Cambridge University Press, 2012.

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36

Garling, D. J. H. Clifford Algebras: An Introduction. Cambridge University Press, 2012.

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37

Staples, George Stacey. Clifford Algebras and Zeons. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/11340.

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38

Clifford algebras and spinors. 2nd ed. Cambridge University Press, 2001.

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39

Lounesto, Pertti. Clifford Algebras and Spinors. Cambridge University Press, 2011.

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40

Lounesto, Pertti. Clifford Algebras and Spinors. Cambridge University Press, 2009.

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41

Clifford algebras: An introduction. Cambridge University Press, 2011.

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42

(Editor), Tao Qian, Thomas Hempfling (Editor), Alan McIntosh (Editor), and Frank Sommen (Editor), eds. Advances in Analysis and Geometry: New Developments Using Clifford Algebras (Trends in Mathematics). Birkhäuser Basel, 2004.

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43

An introduction to Clifford algebras and spinors. Oxford, 2016.

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44

Perwass, Christian. Geometric Algebra with Applications in Engineering. Springer, 2010.

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45

Perwass, Christian. Geometric Algebra with Applications in Engineering. Springer, 2009.

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46

Girard, Patrick R. Quaternions, Clifford Algebras and Relativistic Physics. Birkhauser Verlag, 2007.

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47

Clifford Algebras and Lie Theory. Springer-Verlag Berlin and Heidelberg GmbH &, 2013.

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48

Symmetric Algebras By Direct Product of Clifford Algebra. Seibunsha Publishers, 1988.

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49

Quadratic Mappings and Clifford Algebras. Birkhäuser Basel, 2008. http://dx.doi.org/10.1007/978-3-7643-8606-1.

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50

Sommer, Gerald. Geometric Computing with Clifford Algebras. Springer, 2001.

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