Publications
citing CLIFFORD/Bigebra
Papers
- R. Ablamowicz: 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)
- Di Zang: Signal Modeling
for Two-Dimensional Image Structures and Scale-Space Based Image
Analysis, Ph.D. Thesis, Christian-Albrechts-Universitat zu Kiel,
May 2007
- Maple on
the Web - Links, http://www.df.uba.ar/~jakubi/maple2.html,
2007
- Hildenbrand,
D., Fontijne, D., Wang, Y. Alexa, M., and Dorst, L.: Competitive
runtime performance for inverse kinematics algorithms using conformal
geometric algebra, EUROGRAPHICS 2006 / D. W. Fellner and C. Hansen,
Short Presentations
- Fauser, B.:
Products,
Coproducts, and Singular Value Decomposition, International Journal of Theoretical
Physics, Volume 45, Number 9, September 2006, 1718-1742
- Departament
de Física Fonamental, Universitat de Barcelona, http://www.ub.es/ffn/Recerca/Clifford.php,
2006
- Ablamowicz,
R. and Fauser, B.: Mathematics
of CLIFFORD – A Maple package for Clifford and Grassmann algebras, Advances in
Applied Clifford Algebras, Vol. 15, No. 2 (2005), 157-181
- Fauser, B. and Ablamowicz, R.: Clifford and Grassmann Hopf
algebras via the BIGEBRA package for Maple, Computer Physics Communications
170 (2005) 115-130
- Pearson,
P.: The
Witt vector affine ring scheme, University of
Rochester, Department of
Mathematics, September
25, 2005
- Pearson,
P.: PRTensor
-
Maple procedures for making calculations in the tensor product of
polynomial rings, University of Rochester, Department of
Mathematics, October 4, 2005
- Gentile, A.; Segreto, S.; Sorbello, F.;
Vassallo, G.; Vitabile, S.; Vullo, V.: CliffoSor:
A parallel embedded architecture for geometric algebra and computer
graphics, Computer Architecture for Machine Perception,
2005. CAMP 2005. Proceedings. Seventh International Workshop, Volume ,
Issue , 4-6 July 2005, 90-95
- P.
Leopardi: A
generalized FFT for Clifford algebras, Bulletin
of the Belgian Mathematical Society - Simon Stevin, Volume 11, Number
5, 2005, 663-688
- Schmeikal, B.: Algebra of
matter, Advances in Applied Clifford Algebras 15 No. 2, (2005),
271-290
- Kwun-Lon Ting and Yi Zhang: Rigid
Body Motion Characteristics and Unified Instantaneous Motion
Representation of Points, Lines, and Planes, Journal of Mechanical Design, July
2004, Volume 126, Issue 4, 593-601
- Perwass, C., Gebken, C. and Sommer, G.: Implementation of a
Clifford Algebra Co-Processor Design on a Field Programmable Gate
Array, in Clifford Algebras:
Applications to Mathematics, Physics, and
Engineering, Ed. R. Ablamowicz, Birkhauser, Boston, 2004, 561-575
- Ablamowicz, R. and Sobczyk, G.: Software for
Clifford
(Geometric) Algebras, as Appendix in Lectures
on Clifford Geometric Algebras
and Applications, Birkhauser, Boston, 2004, 189-209
- Ablamowicz, R. Fauser,
B., Podlaski, K., and Rembielinski, J.: Idempotents
in Clifford
Algebras, Czechoslovak Journal
of
Physics, Vol. 53 (2003), No 11, 949-954
- Perwass,
C., and Hildenbrand, D.: Aspects
of Geometric Algebra in Euclidean, Projective and Conformal Space,
Christian Albrechts Universitat at Kiel, Bericht Nr. 0310, Version 1.0,
September 2003
- Davenport,
C.: Commutative Hypercomplex Mathematics, at http://home.usit.net/~cmdaven/nhyprcpx.htm,
2003
- Ablamowicz, R. and Baswell,
M.: Clifford
Algebra Space
Singularities of Inline Planar Platforms, Proceedings of the Geometric Algebra
Conference, Cambridge, England,
2001, Chris Doran, Ed., Birkhauser, 2002, 407-421
- Hongbo Li: Automated
Theorem Proving in the Homogeneous Model with Clifford Bracket Algebra,
MM Research Preprints, 172-180, MMRC, AMSS, Academia Sinica, Beijing,
No. 21, December 2002
- Fauser, B. and Oziewicz, Z.: Clifford Hopf gebra for
two dimensional space, Miscellanea Algebraicae, Volume 2, Number 1,
2001, 31-42
- Ablamowicz, R.: 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
- Fauser, R.: On the
relation of Manin's quantum plane and quantum Clifford algebras,
Journal Czechoslovak Journal of
Physics, Volume 50, Number 11 / November, 2000, 1221-1228
- Ablamowicz, R. and Fauser., B.: Hecke algebra representations in
ideals generated by q-Young
Clifford
idempotents, in Clifford Algebras
and their Applications
in Mathematical Physics, Eds. R. Ablamowicz and B. Fauser,
Vol.
1: Algebra and Physics, Birkhauser, Boston, 2000, 245-268
- Fauser, R. and Ablamowicz, R.: On the decomposition of Clifford
algebras of arbitrary bilinear
form, 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
- Mann, S. , Dorst, L., and Bouma, T.: The
Making of a Geometric Algebra Package in Matlab, Computer Science
Department, University of Waterloo, Research Report CS-99-27
- Wolfram Math World, http://mathworld.wolfram.com/CliffordAlgebra.html,
CRC Press LLC, 1999-2007 Wolfram Research, Inc., 1999
- Ablamowicz, R.: 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)
- Ablamowicz, R.: Matrix
exponential via Clifford algebras, Journal of Nonlinear Mathematical
Physics, Vol. 5, Nr. 3, August 1998, 294-313, matrix63.dvi
(72 Kb)
- Ablamowicz, R.: 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
- The Math Forum at Drexel, http://mathforum.org/library/view/6157.html,
1994
Last revised: August 2, 2007/ra