PUBLICATIONS: BOOKS
 
 

	Clifford Algebras: Applications to Mathematics, Physics, and Engineering, Ed. Rafal Ablamowicz, Birkhauser, Boston, 2004 (ISBN 0-8176-3525-4), 626 + xxiv pages, Table of Contents and Order Form (pdf)   Cover (pdf)
	Lectures on Clifford Geometric Algebras and Applications, Eds. Rafal Ablamowicz and Garret Sobczyk, Birkhauser, Boston, 2004 (ISBN 0-8176-3257-3), 221+xvii pages, Table of Contents and Order Form (pdf)    Cover (pdf)
	Clifford Algebras and their Applications in Mathematical Physics, Eds. Rafal Ablamowicz and Bertfried Fauser, Vol. 1: Algebra and Physics, Birkhauser, Boston, 2000, (ISBN 0-8176-4182-3). [for more information go to http://math.tntech.edu/rafal/mexico/mexico.html]
	Clifford Algebras with Numeric and Symbolic Computations, Eds. Rafal Ablamowicz, Pertti Lounesto, and J. Parra, Birkhauser, Boston, 1996 (ISBN 0-8176-3907-1). To see .gif files with the Clifford fractals on the cover, go to fractals.
	Clifford Algebras and Spinor Structures, Volume dedicated to the memory of Albert Crumeyrolle (1919-1992), Eds. Rafal Ablamowicz and P. Lounesto, Kluwer, Dordrecht, 1995 (ISBN 0-7923-3366-7)

 

PUBLICATIONS: RECENT PAPERS

• Geometric Roots of -1 in Clifford Algebras Cl_{p,q} with p+q <=  4 (with Eckhard Hitzer), submitted to Advances in Applied Clifford Algebras
• Some Applications of Groebner Bases in Robotics and Engineering, to appear in Proceedings of The Third International Conference on  Applications of Geometric Algebra in Computer Science and Engineering, AGACSE'2008 Leipzig, August 17-19, 2008 , as a special issue of Advances in Applied Clifford Algebras
  
• Computations with Clifford and Grassmann Algebras, Plenary Lecture, to appear in Proceedings of the 7th Conference on Clifford Algebras and their Applications in Mathematical Physics (ICAA 7), Ed. Pierre Angles, Toulouse, May 1929, 2005 (forthcoming in special issue of Advances in Applied Clifford Algebras)
• Mathematics of CLIFFORD: A Maple package for Clifford and Grassmann algebras (with Bertfried Fauser), Advances in Applied Clifford Algebras, Vol. 15, No. 2 (2005), 157-181
• Clifford and Grassmann Hopf algebras via the BIGEBRA package for Maple (with Bertfried Fauser), Computer Physics Communications 170 (2005) 115-130
  
• Software for Clifford (Geometric) Algebras (with Garret Sobczyk), as Appendix in Lectures on Clifford Geometric Algebras and Applications, Birkhauser, Boston, 2004, 189-209
• Idempotents in Clifford Algebras (with B. Fauser, K. Podlaski, and J. Rembielinski), Czechoslovak Journal of Physics, Vol. 53 (2003), No 11, 949-954
• Clifford Algebra Space Singularities of Inline Planar Platforms, (with Mike Baswell) Proceedings of the Geometric Algebra Conference, Cambridge, England, 2001, Chris Doran, Ed., Birkhauser, 2002, 407-421
• Helmstetter formula and rigid motions with CLIFFORD, in Advances in Geometric Algebra with Applications in Science and Engineering - Automatic Theorem Proving, Computer Vision, Quantum and Neural Computing, and Robotics, Eds. Eduardo Bayro-Corrochano and Garret Sobczyk, Birkhauser, 2001
• Hecke algebra representations in ideals generated by q-Young Clifford idempotents (with Bertfried Fauser), in Clifford Algebras and their Applications in Mathematical Physics, Eds. Rafal Ablamowicz and Bertfried Fauser, Vol. 1: Algebra and Physics, Birkhauser, Boston, 2000, 245-268
• On the decomposition of Clifford algebras of arbitrary bilinear form (with Bertfried Fauser), in Clifford Algebras and their Applications in Mathematical Physics, Eds. Rafal Ablamowicz and Bertfried Fauser, Vol. 1: Algebra and Physics, Birkhauser, Boston, 2000, 341-366
• Spinor representations of Clifford algebras: A symbolic approach, Computer Physics Communications Thematic Issue - Computer Algebra in Physics Research, Vol. 115, December 11, 1998, Numbers 2-3, 510-535 spinors830.dvi (155 Kb)
• Matrix exponential via Clifford algebras, Journal of Nonlinear Mathematical Physics, Vol. 5, Nr. 3, August 1998, 294-313, matrix63.dvi (72 Kb)
• On Clifford algebras of a bilinear form with an antisymmetric part (with P. Lounesto), in Clifford Algebras with Numeric and Symbolic computations, Eds. R. Ablamowicz, P. Lounesto, and J. Parra, Birkhauser, Boston, 1996, 167-188
• Clifford algebra computations with Maple, Proceedings of the CAP Summer School in Theoretical Physics, Geometric (Clifford) Algebras in Physics, Banff, Alberta, Canada as CLIFFORD (GEOMETRIC) ALGEBRAS with applications in Physics, Mathematics, and Engineering, William E. Baylis, Editor. Birkhauser, Boston, 1996, 463-502

• On the transposition anti-automorphism of Clifford algebras (with Bertfried Fauser)

Revised:  June 1, 2009/ra