PUBLICATIONS: BOOKS
 

	Clifford Algebras: Applications to Mathematics, Physics, and Engineering, R. Ablamowicz, (Ed.), Birkhauser, Boston, 2004 (ISBN 0-8176-3525-4)
	Lectures on Clifford (Geometric) Algebras and Applications, R. Ablamowicz and G. Sobczyk, (Eds.) Birkhauser, Boston, 2004 (ISBN 0-8176-3257-3)
	Clifford Algebras and their Applications in Mathematical Physics, R. Ablamowicz and B. Fauser, (Eds.) 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, R. Ablamowicz, P. Lounesto, and J. Parra, (Eds.), 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, R. Ablamowicz and P. Lounesto, (Eds.), Kluwer, Dordrecht, 1995 (ISBN 0-7923-3366-7)

PUBLICATIONS: RECENT PAPERS

• Using Periodicity Theorems for Computations in Higher Dimensional Clifford Algebras (with B. Fauser) (to be submitted, 2012)
  • Maple worksheets (coming soon)
• Square Roots of -1 in Real Clifford Algebras (with E. Hitzer, J. Helmstetter) (submitted, 2012)
  • Maple worksheets (coming soon)
• On the transposition anti-involution in real Clifford algebras III: The automorphism group of the transposition scalar product on spinor spaces (with B. Fauser) (to appear in Linear and Multilinear Algebra, Online version: 2011, iFirst DOI:10.1080/03081087.2011.624093)
  • Maple worksheets
• On the transposition anti-involution in real Clifford algebras II: Stabilizer groups of primitive idempotents (with B. Fauser), Linear and Multilinear Algebra, Vol. 59, No. 12, December 2011, 1359--1381
• On the transposition anti-involution in real Clifford algebras I: The transposition map (with B. Fauser), Linear and Multilinear Algebra, Vol. 59, No. 12, December 2011, 1331--1358
• Computation of non-commutative Groebner bases in Grassmann and Clifford algebras, Advances in Applied Clifford Algebras, Vol. 20, No. 3-4 (2010), 447-476
• Geometric roots of -1 in Clifford algebras Cl_p,q with p+q <= 4 (with E. Hitzer), Advances in Applied Clifford Algebras, Vol. 21, No. 1 (2011), 121-144
• Some applications of Groebner bases in robotics and engineering'', in ``Geometric Algebra Computing'', E. Bayro-Corrochano and G. Scheuermann, (Eds.), Springer, 2010, 495--516
• Computations with Clifford and Grassmann algebras, Advances in Applied Clifford Algebras, Vol. 19, No. 3--4 (2009), 499-545
• Mathematics of CLIFFORD: A Maple package for Clifford and Grassmann algebras (with B. 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 B. Fauser), Computer Physics Communications 170 (2005) 115-130
• Software for Clifford (Geometric) Algebras (with G. Sobczyk), 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 M. Baswell and J. N. Anderson), in ``Applications of Geometric Algebra in Computer Science and Engineering", L. Dorst, Ch. Doran, and J. Lasenby, (Eds.), Birkhauser, Boston, 2002, 407-421
• Helmstetter formula and rigid motions with CLIFFORD, in ``Geometric Algebra with Applications in Science and Engineering", E. Bayro-Corrochano and G. Sobczyk, (Eds.), Birkhauser, Boston, 2001, 512-534
• Hecke algebra representations in ideals generated by q-Young Clifford idempotents (with B. Fauser), in ``Clifford Algebras and their Applications in Mathematical Physics", R. Ablamowicz and B. Fauser, (Eds.), Vol. 1: Algebra and Physics, Birkhauser, Boston, 2000, 245-268
• On the decomposition of Clifford algebras of arbitrary bilinear form (with B. Fauser), in ``Clifford Algebras and their Applications in Mathematical Physics", R. Ablamowicz and B. Fauser, (Eds.), 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
• Matrix exponential via Clifford algebras, Journal of Nonlinear Mathematical Physics, Vol. 5, Nr. 3, August 1998, 294-313
• On Clifford algebras of a bilinear form with an antisymmetric part (with P. Lounesto), in ``Clifford Algebras with Numeric and Symbolic Computations", R. Ablamowicz, P. Lounesto, and J. Parra, (Eds.), Birkhauser, Boston, 1996, 167-188
• Clifford algebra computations with Maple, in ``Clifford (Geometric) Algebras with Applications in Physics, Mathematics, and Engineering", W. E. Baylis, (Ed.), Birkhauser, Boston, 1996, 463-502

• Clifford algebras from finite groups, with Bertfried Fauser
• Transposition Anti-Involution in Clifford Algebras and Invariance Groups of Scalar Products on Spinor Spaces, with Bertfried Fauser (submitted for presentation at ICCA 9, July 15, 2011, Weimar, Germany)
• Square roots of $-1$ in real Clifford algebras, with Eckhard Hitzer and Jacques Helmstetter (submitted for presentation at ICCA 9, July 15, 2011, Weimar, Germany) (with B. Fauser)

Revised:  March 20, 2012