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.

References in zbMATH (referenced in 85 articles , 2 standard articles )

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  1. Abłamowicz, Rafał: On the structure of ternary Clifford algebras and their irreducible representations (2022)
  2. Breuils, Stephane; Tachibana, Kanta; Hitzer, Eckhard: New applications of Clifford’s geometric algebra (2022)
  3. Byrtus, Roman; Derevianko, Anna; Vašík, Petr; Hildenbrand, Dietmar; Steinmetz, Christian: On specific conic intersections in GAC and symbolic calculations in GAALOPWeb (2022)
  4. Wieser, Eric; Song, Utensil: Formalizing geometric algebra in Lean (2022)
  5. Arcodía, Marcos R. A.: Complexifying the spacetime algebra by means of an extra timelike dimension: pin, spin and algebraic spinors (2021)
  6. Shirokov, D. S.: On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension (2021)
  7. Abłamowicz, Rafał: The Moore-Penrose inverse and singular value decomposition of split quaternions (2020)
  8. Cen, Julia; Fring, Andreas: Multicomplex solitons (2020)
  9. Bayro-Corrochano, Eduardo: Geometric algebra applications Vol. I. Computer vision, graphics and neurocomputing (2019)
  10. Bory-Reyes, Juan; Pérez-Regalado, Cesar Octavio; Shapiro, Michael: Cauchy type integral in bicomplex setting and its properties (2019)
  11. Cheng, Tao; Li, Huilan; Yang, Yuping: A new view of generalized Clifford algebras (2019)
  12. Hitzer, Eckhard; Sangwine, Stephen J.: Construction of multivector inverse for Clifford algebras over (2m+1)-dimensional vector spaces from multivector inverse for Clifford algebras over (2m)-dimensional vector spaces (2019)
  13. Li, Li-Ming; Shi, Zhi-Ping; Guan, Yong; Zhang, Qian-Ying; Li, Yong-Dong: Formalization of geometric algebra in HOL Light (2019)
  14. Poojary, Prasanna; Panackal, Harikrishnan; Bhatta, Vadiraja G. R.: Algebraic construction of near-bent and APN functions (2019)
  15. Soto-Francés, Víctor-Manuel; Sarabia-Escrivá, Emilio-José; Pinazo-Ojer, José-Manuel: Consistently oriented dart-based 3D modelling by means of geometric algebra and combinatorial maps (2019)
  16. Trindade, Marco A. S.; Pinto, Eric; Floquet, Sergio: Clifford algebras, multipartite systems and gauge theory gravity (2019)
  17. Abłamowicz, Rafał: Spinor modules of Clifford algebras in classes (N_2k-1) and (\Omega_2k-1) are determined by irreducible nonlinear characters of corresponding Salingaros vee groups (2018)
  18. Abłamowicz, Rafał; Varahagiri, Manisha; Walley, Anne Marie: A classification of Clifford algebras as images of group algebras of Salingaros vee groups (2018)
  19. Eid, Ahmad Hosny: An extended implementation framework for geometric algebra operations on systems of coordinate frames of arbitrary signature (2018)
  20. Hrdina, Jaroslav; Návrat, Aleš; Vašík, Petr: Geometric algebra for conics (2018)

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