Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-14T17:06:54.328Z Has data issue: false hasContentIssue false

References

Published online by Cambridge University Press:  05 June 2012

D. J. H. Garling
D. J. H. Garling
Affiliation:
University of Cambridge
Get access

Summary

A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Clifford Algebras: An Introduction , pp. 191 - 192
Publisher: Cambridge University Press
Print publication year: 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[Art] E., Artin, Geometric algebra, John Wiley, New York, 1988.Google Scholar
[ABS] M. F., Atiyah, R., Bott and A., Shapiro, Clifford modules, Topology 3 (Supplement 1) (1964), 3–38.Google Scholar
[AtS] M. F., Atiyah and I. M., Singer, The index of elliptic operators on compact manifolds, Bull. Amer. Math. Soc. 69 (1963), 422–433.Google Scholar
[Bay] William E., Baylis (editor), Clifford (Geometric) Algebras, Birkhäuser, New York, 1996.Google Scholar
[BGV] Nicole, Berline, Ezra Getzler and Michèle Vergne, Heat Kernels and Dirac Operators, Springer, Berlin, 1996.Google Scholar
[BDS] F., Brackx, R., Delanghe and F., Sommen, Clifford Analysis, Pitman, London, 1983.Google Scholar
[BtD] Theodor, Bröcker and Tammo tom, Dieck, Representations of Compact Lie groups, Springer, Berlin, 1995.Google Scholar
[Che] Claude, Chevalley, The Algebraic Theory of Spinors and Clifford Algebras, Collected works, Volume 2, Springer, Berlin, 1997.Google Scholar
[Cli1] W. K., Clifford, Applications of Grassmann's extensive algebra, Amer. J. Math. 1 (1876) 350–358.Google Scholar
[Cli2] W. K., Clifford, On the classification of geometric algebras, Mathematical papers, William Kingdon Clifford, AMS Chelsea Publishing, 2007, 397–401.Google Scholar
[Coh] P. M., Cohn, Classic Algebra, John Wiley, Chichester, 2000.Google Scholar
[Dir] P. A. M., Dirac, The Principles of Quantum Mechanics, Fourth Edition, Oxford University Press, 1958Google Scholar
[DoL] Chris, Doran and Anthony, Lasenby, Geometric Algebra for Physicists, Cambridge University Press, Cambridge, 2003.Google Scholar
[Duo] Javier, Duoandikoetxea, Fourier Analysis, Amer. Math. Soc., Providence, RI, 2001.Google Scholar
[GRF] J., Garcia-Cuerva and J. L., Rubio de Francia, Weighted Norm Inequalities and Related Topics, North Holland, Amsterdam, 1985.Google Scholar
[GiM] John E., Gilbert and Margaret M. E., Murray, Clifford Algebras and Dirac Operators in Harmonic Analysis, Cambridge University Press, Cambridge, 1991.Google Scholar
[Hah] Alexander J., Hahn, Quadratic Algebras, Clifford Algebras and Arithmetic Witt Groups, Springer, Berlin, 1994.Google Scholar
[Har] F., Reese Harvey, Spinors and Calibrations, Academic Press, San Diego, CA, 1990.Google Scholar
[HeM] Jacques, Helmstetter and Artibano, Micali, Quadratic Mappings and Clifford Algebras, Birkhaüser, Basel, 2008.Google Scholar
[Jac] Nathan, Jacobson, Basic Algebra I and II, W.H. Freeman, San Francisco, CA, 1974, 1980Google Scholar
[Lam] T. Y., Lam, Introduction to Quadratic Forms over Fields, Amer. Math. Soc., Providence, RI, 2004.Google Scholar
[Lan] E. C., LanceHilbert C*-modules, London Mathematical Society Lecture notes 210, Cambridge University Press, Cambridge, 1995.Google Scholar
[LaM] H., Blaine Lawson Jr., and Marie-Louise, Michelsohn, Spin Geometry, Princeton University Press, Princeton, NJ, 1989.Google Scholar
[Lou] Pertti, Lounesto, Clifford Algebras and Spinors, London Mathematical Society Lecture notes 286, Cambridge University Press, Cambridge, 2001.Google Scholar
[MaB] Saunders Mac, Lane and Garrett, Birkhoff, Algebra Third Edition, AMS Chelsea, 1999.Google Scholar
[Mey] Paul-André, Meyer, Quantum Probability for Probabilists, Springer Lecture Notes in Mathematics 1538, Springer, Berlin, 1993.Google Scholar
[PeR] R., Penrose and W., Rindler, Spinors and Space-time I and II, Cambridge University Press, Cambridge, 1984, 1986.Google Scholar
[P1R] R. J., Plymen and P. L., Robinson, Spinors in Hilbert Space, Cambridge University Press, Cambridge, 1994.Google Scholar
[Por1] I. R., Porteous, Topological Geometry, Cambridge University Press, Cambridge, 1981.Google Scholar
[Por2] I. R., Porteous, Clifford Algebras and the Classical Groups, Cambridge University Press, Cambridge, 1995.Google Scholar
[Roe] John, Roe, Elliptic Operators, Topology and Asymptotic Methods, Second edition, Chapman and Hall/CRC, London 2001.Google Scholar
[Rya] John, Ryan (editor), Clifford Algebras in Analysis and Related Topics, CRC Press, Boca Raton, FL, 1996.Google Scholar
[Sep] Mark R., Sepanski, Compact Lie Groups, Springer, Berlin, 2007.Google Scholar
[Ste] Elias M., Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, NJ, 1970.Google Scholar
[StW] Elias M., Stein and Guido, Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, Princeton, NJ, 1971.Google Scholar
[Sud] Anthony, Sudbery, Quantum Mechanics and the Particles of Nature, Cambridge University Press, Cambridge, 1986.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • References
  • D. J. H. Garling, University of Cambridge
  • Book: Clifford Algebras: An Introduction
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511972997.014
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • References
  • D. J. H. Garling, University of Cambridge
  • Book: Clifford Algebras: An Introduction
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511972997.014
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • References
  • D. J. H. Garling, University of Cambridge
  • Book: Clifford Algebras: An Introduction
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511972997.014
Available formats
×