Publications citing CLIFFORD/Bigebra

**Papers**

- R. Ablamowicz and B. Fauser,
*On the Transposition Anti-Involution in Real Clifford Algebras III: The Invariance Group of the Transposition Spinor product*, (to be submitted to Linear and Multilinear Algebra) - R. Ablamowicz and B. Fauser,
*On the Transposition Anti-Involution in Real Clifford Algebras I: The Transposition Map*(to appear in Linear and Multilinear Algebra, 2010) - R. Ablamowicz and B. Fauser,
*On the Transposition Anti-Involution in Real Clifford Algebras II: Stabilizer Groups of Primitive Idempotents*(to appear in Linear and Multilinear Algebra, 2010) - R. Ablamowicz,
*Computation of Non-Commutative Groebner Bases in Grassmann and Clifford Algebras*, Adv. Applied Clifford Algebras 20 No. 3--4 (2010), 447--476 - R. Ablamowicz,
*Some Applications of GrĂ¶bner Bases in Robotics and Engineering*, in*Geometric Algebra Computing*, E. Bayro-Corrochano and G. Scheuermann, (Eds.), Springer, 2010, 495--516 - E. Hitzer and R. Ablamowicz,
*Geometric roots of -1*, to appear in Adv. Applied Clifford Algebras (2010) - R. Ablamowicz,
*Computations with Clifford and Grassmann Algebras*, Adv. Applied Clifford Algebras 19, No. 3--4 (2009), 499--545 - T. Brachey:
*Groebner Bases Algorithms for Grassmann Algebras in a Maple Package*, Department of Mathematics TTU,**Tech. Report No. 2008-1**, October 2008, downloadable file, 204KB,.pdf - R. Ablamowicz and B. Fauser:
*Mathematics of CLIFFORD - a Maple Package for Clifford and Grassmann Algebras*, Adv. in Applied Clifford Algebras, Vol. 15, No. 2 (2005), 157--181 - R. Ablamowicz and B. Fauser:
*Clifford and Grassmann Hopf Algebras via the Bigebra Package for Maple(R)"*, Computer Physics Communications 170 (2005) 115--130 - 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
- B. Fauser, Products, Coproducts, and Singular Value Decomposition,
*International Journal of Theoretical Physics*, Volume 45, Number 9, September 2006, 1718-1742 - Departamentde Fisica Fonamental, Universitat de Barcelona, http://www.ub.es/ffn/Recerca/Clifford.php, 2006
- Carlos Castro:
*On modified Weylâ€“Heisenberg algebras, noncommutativity, matrix-valued Planck constant and QM in Clifford spaces*, 2006 J. Phys. A: Math. Gen. 39 (2006) 14205-14229 - 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, 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, R. Ablamowicz, (Ed.), 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. Baswell, M., and Anderson, Joe N.: Clifford Algebra Space Singularities of Inline Planar Platforms, in
*Applications of Geometric Algebra in Computer Science and Engineering*, L. Dorst, Ch. Doran, and J. Lasenby, (Eds.), Birkhauser, Boston, 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*Geometric Algebra with Applications in Science and Engineering*, E. Bayro-Corrochano and G. Sobczyk, (Eds.) Birkhauser, Boston, 2001, 512--534 - Fauser, R.: On the relation of Manin's quantum plane and quantum Clifford algebras, 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*, R. Ablamowicz and B. Fauser, (Eds.), 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*, R. Ablamowicz and B. Fauser, (Eds.), 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, 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*, in*Clifford (Geometric) Algebras with Applications in Physics, Mathematics, and Engineering*, W. E. Baylis, (Ed.), Birkhauser, Boston, 1996, 463--502 - The Math Forum at Drexel, http://mathforum.org/library/view/6157.html, 1994

Last revised: December 19, 2010/ra