CLIFFORD

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 57 articles , 2 standard articles )

Showing results 1 to 20 of 57.
Sorted by year (citations)

1 2 3 next

  1. 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)
  2. Abłamowicz, Rafał; Varahagiri, Manisha; Walley, Anne Marie: A classification of Clifford algebras as images of group algebras of Salingaros vee groups (2018)
  3. Eid, Ahmad Hosny: An extended implementation framework for geometric algebra operations on systems of coordinate frames of arbitrary signature (2018)
  4. Hrdina, Jaroslav; Návrat, Aleš; Vašík, Petr: Geometric algebra for conics (2018)
  5. Hrdina, Jaroslav; Návrat, Aleš; Vašík, Petr: Notes on planar inverse kinematics based on geometric algebra (2018)
  6. Franchini, Silvia; Gentile, Antonio; Sorbello, Filippo; Vassallo, Giorgio; Vitabile, Salvatore: Embedded coprocessors for native execution of geometric algebra operations (2017)
  7. Helmstetter, Jacques: Conformal groups and Vahlen matrices (2017)
  8. Hitzer, Eckhard: General steerable two-sided Clifford Fourier transform, convolution and mustard convolution (2017)
  9. Hrdina, Jaroslav; Návrat, Aleš: Binocular computer vision based on conformal geometric algebra (2017)
  10. Korepanov, I. G.: Free fermions on a piecewise linear four-manifold. I: Exotic chain complex (2017)
  11. Prodanov, D.; Toth, V. T.: Sparse representations of Clifford and tensor algebras in maxima (2017)
  12. Sangwine, Stephen J.; Hitzer, Eckhard: Clifford multivector toolbox (for MATLAB) (2017)
  13. Ulrych, S.: Conformal numbers (2017)
  14. Ahmad Hosney Awad Eid: Optimized Automatic Code Generation for Geometric Algebra Based Algorithms with Ray Tracing Application (2016) arXiv
  15. Castro, Carlos: Moyal deformations of Clifford gauge theories of gravity (2016)
  16. Catarino, Paula: The modified Pell and the modified $k$-Pell quaternions and octonions (2016)
  17. Soh, Célestin Wafo; Mahomed, Fazal M.: Hypercomplex analysis and integration of systems of ordinary differential equations (2016)
  18. Trayling, Greg: Metric and involution scores of Clifford algebras (2016)
  19. Zhang, Feng; Jiang, Xiaomin; Zhang, Xiaoyi; Wang, Yingzhi; Du, Zhenhong; Liu, Renyi: Unified spatial intersection algorithms based on conformal geometric algebra (2016)
  20. Benger, Werner; Heinzl, René; Hildenbrand, Dietmar; Weinkauf, Tino; Theisel, Holger; Tschumperlé, David: Differential methods for multi-dimensional visual data analysis (2015)

1 2 3 next


Further publications can be found at: http://math.tntech.edu/rafal/citing/CBpublications.html