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Recommended Reading on Clifford Algebras
L. Ahlfors and P. Lounesto, “Some remarks on Clifford algebras,”Complex Variables: Theory and Application 12, 201–209 (1989).
E. Artin,Geometric Algebra (Interscience, New York, 1957, 1988).
M. F. Atiyah, R. Bott, and A. Shapiro, “Clifford modules,”Topology 3, Suppl. 1, 3–38 (1964).
I. M. Benn and R. W. Tucker,An Introduction to Spinors and Geometry with Applications in Physics (Adam Hilger, Bristol, 1987).
F. Brackx, R. Delanghe, and F. Sommen,Clifford Analysis (Pitman Books, London, 1982).
F. Brackx, R. Delanghe, and F. Sommen, eds.,Proceedings, Workshop on “Clifford Algebra, Clifford Analysis and Their Applications in Mathematical Physics,” Rijksuniversiteit, Gent, Belgium, May 1988,Simon Stevin 62, Nos. 3–4 (1988).
P. Budinich and A. Trautman,The Spinorial Chessboard (Springer, Berlin, 1988).
C. Chevalley,The Algebraic Theory of Spinors (Columbia University Press, New York, 1954).
C. Chevalley,The Construction and Study of Certain Important Algebras (Mathematical Society of Japan, Tokyo, 1955).
J. S. R. Chisholm and A. K. Common, eds.,Proceedings, First Workshop on “Clifford Algebras and Their Applications in Mathematical Physics,” University of Kent, Canterbury, England, September 1985 (Reidel, Dordrecht, 1986).
A. Crumeyrolle,Orthogonal and Symplectic Clifford Algebras, Spinor Structures (Kluwer, Dordrecht, 1990).
L. Dcabrowski,Group Actions on Spinors (Bibliopolis, Napoli, 1988).
R. Delanghe, F. Sommen, and V. Souček,Clifford Algebra and Spinor Valued Functions: A Function Theory for the Dirac Operator (Kluwer, Dordrecht, 1990).
J. Gilbert and M. Murray,Clifford Algebras and Dirac Operators in Harmonic Analysis (Cambridge Studies in Advanced Mathematics, 1990).
W. Greub,Multilinear Algebra, 2nd edn. (Springer, Berlin, 1978).
K. Gürlebeck and W. Sprössig,Quaternionic Analysis and Elliptic Boundary Value Problems (Akademie-Verlag, Berlin, 1989; Birkhäuser, Basel, 1990).
F. R. Harvey,Spinors and Calibrations (Academic Press, San Diego, 1990).
D. Hestenes,Space-Time Algebra (Gordon & Breach, New York, 1966, 1987).
D. Hestenes, “Vectors, spinors and complex numbers in classical and quantum physics,”Am. J. Phys. 39, 1013–1027 (1971).
D. Hestenes,New Foundations for Classical Mechanics (Reidel, Dordrecht, 1986, 1987).
D. Hestenes and G. Sobczyk,Clifford Algebra to Geometric Calculus (Reidel, Dordrecht, 1984, 1987).
B. Jancewicz,Multivectors and Clifford Algebra in Electrodynamics (World Scientific, Singapore, 1988).
M.-A. Knus,Quadratic Forms, Clifford Algebras and Spinors (Universidad Estadual de Campinas, Sao Paulo, 1988).
T.-Y. Lam:The Algebraic Theory of Quadratic Forms (Benjamin, Reading, Massachusetts 1973, 1980).
H. B. Lawson and M.-L. Michelsohn,Spin Geometry (Princeton University Press, Princeton, New Jersey, 1989).
R. Lipschitz,Untersuchungen über die Summen von Quadraten (Max Cohen und Sohn, Bonn, 1886),Bull. Sci. Math. 10, 163–183 (1986).
R. Lipschitz (signed), “Correspondence,”Ann. of Math. 69, 247–251 (1959).
P. Lounesto,Report, First Workshop on “Clifford Algebras and Their Applications in Mathematical Physics, “University of Kent, Canterbury, England, September, 1985,Found. Phys. 16, 967–971 (1986).
P. Lounesto, R. Mikkola, and V. Vierros,CLICAL—Complex Number, Vector, Spinor and Clifford Algebra Calculations with a Personal Computer, Version 3 (Helsinki University of Technology, 1989).
A. Micali and Ph. Revoy, “Modules quadratiques,”Bull. Soc. Math. France 63, 5–144 (1979).
J. Milnor, “Spin-structures on manifolds,”Enseign. Math. 9, 198–203 (1963).
I. R. Porteous,Topological Geometry (Van Nostrand Reinhold, London, 1969; Cambridge University Press, Cambridge, 1981).
M. Riesz,Clifford Numbers and Spinors (University of Maryland, College Park, Maryland, 1958).
T. Shimpuku,Symmetric Algebras by Direct Product of Clifford Algebra (Seibunsha Publishers, Osaka, 1988).
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Ablamowicz, R., Lounesto, P. & Maks, J. Conference report. Found Phys 21, 735–748 (1991). https://doi.org/10.1007/BF00733279
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DOI: https://doi.org/10.1007/BF00733279