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CLIFFORD

swMATH ID: 131
Software Authors: Ablamowicz, Rafal; Fauser, Bertfried
Description: CLIFFORD performs various computations in Grass mann and Clifford algebras. CLIFFORD performs various computations in Graßmann and Clifford algebras. It can compute with quaternions, octonions, and matrices with entries in C(B) – the Clifford algebra of a vector space V endowed with an arbitrary bilinear form B. Two user-selectable algorithms for the Clifford product are implemented: cmulNUM-based on Chevalley’s recursive formula, and cmuIRS-based on a non-recursive Rota-Stein sausage. Graßmann and Clifford bases can be used. Properties of reversion in undotted and dotted wedge bases are discussed.
Homepage: http://math.tntech.edu/rafal/
Dependencies: Maple
Keywords: quantum Clifford algebra; contraction; dotted wedge product; grade involution; Hopf algebra; multivector; reversion; wedge product; quaternions; octonions
Related Software: Maple; BIGEBRA; CLICAL; Gaigen; CLUCalc; Gaalop; GABLE; Clifford Multivector Toolbox; Mathematica; SymGroupAlgebra; GMac; GitHub; GAlgebra; HOL Light; Cliplus; SchurFkt; GfG; GluCat; SINGULAR; LUCY
Referenced in: 84 Publications
Further Publications: http://math.tntech.edu/rafal/citing/CBpublications.html
all top 5

Referenced by 114 Authors

23 Abłamowicz, Rafał
12 Fauser, Bertfried
9 Hitzer, Eckhard
4 Helmstetter, Jacques
3 Hrdina, Jaroslav
3 Lounesto, Pertti
3 Návrat, Aleš
3 Sangwine, Stephen J.
3 Vašík, Petr
2 Franchini, Silvia
2 Gentile, Antonio
2 Hildenbrand, Dietmar
2 Sobczyk, Garret E.
2 Sorbello, Filippo
2 Vassallo, Giorgio
2 Vitabile, Salvatore
1 Abdella, Kenzu
1 Aragon, Gustavo
1 Arcodía, Marcos R. A.
1 Assefa, Dawit
1 Baylis, William E.
1 Bayro-Corrochano, Eduardo
1 Bektaş, Özcan
1 Benger, Werner
1 Bergdolt, G.
1 Bhatta, Vadiraja G. R.
1 Bory Reyes, Juan
1 Branson, Thomas Patrick
1 Breuils, Stéphane
1 Byrtus, Roman
1 Catarino, Paula Maria Machado Cruz
1 Cen, Julia
1 Cheng, Tao
1 Cnops, Jan
1 da Rocha, Roldão Jun.
1 Delanghe, Richard
1 Derevianko, Anna
1 Dray, Tevian
1 Du, Zhenhong
1 Eid, Ahmad Hosny
1 Floquet, Sergio
1 Fring, Andreas
1 Fuchs, Laurent
1 Ge, Xinhong
1 Gebken, Christian
1 Graves-Morris, Peter R.
1 Guan, Yong
1 Guo, Liqiang
1 Heinzl, René
1 Jiang, Xiaomin
1 Kamal, Alaa
1 Korepanov, Igor Germanovich
1 Kuroe, Yasuaki
1 Lávička, Roman
1 Li, Huilan
1 Li, Liming
1 Li, Yongdong
1 Liu, Renyi
1 Manogue, Corinne A.
1 Mansinha, Lalu
1 Nitta, Tohru
1 Panackal, Harikrishnan
1 Pappas, Richard C.
1 Parra, Josep Manel
1 Pérez-Regalado, Cesar Octavio
1 Perwass, Christian B. U.
1 Pinazo-Ojer, José-Manuel
1 Pinto, Eric
1 Poojary, Prasanna
1 Porteous, Ian R.
1 Prodanov, Dimiter
1 Rasmussen, Henning
1 Roberts, D. E.
1 Sarabia-Escrivá, Emilio-José
1 Scharnhorst, Klaus
1 Schmeikal, Bernd
1 Schott, René
1 Selig, J. M.
1 Shapiro, Michael V.
1 Shi, Zhiping
1 Shirokov, Dmitry S.
1 Sommer, Gerald
1 Song, Utensil
1 Soto-Francés, Víctor-Manuel
1 Soucek, Vladimir
1 Staples, George Stacey
1 Steinmetz, Christian
1 Tachibana, Kanta
1 Theisel, Holger
1 Théry, Laurent
1 Tiampo, Kristy F.
1 Toth, Viktor T.
1 Trayling, Greg
1 Trindade, Marco A. S.
1 Tschumperlé, David
1 Ulrych, S.
1 van Holten, Jan-Willem
1 Van Iseghem, Jeannette
1 Varahagiri, Manisha
1 Vaz, Jayme jun.
...and 14 more Authors

Referencing Publications by Year