Breuils, Stephane; Nozick, Vincent; Sugimoto, Akihiro Computational aspects of geometric algebra products of two homogeneous multivectors. (English) Zbl 1505.15020 Adv. Appl. Clifford Algebr. 33, No. 1, Paper No. 4, 39 p. (2023). MSC: 15A66 68Q17 PDFBibTeX XMLCite \textit{S. Breuils} et al., Adv. Appl. Clifford Algebr. 33, No. 1, Paper No. 4, 39 p. (2023; Zbl 1505.15020) Full Text: DOI arXiv
Wieser, Eric; Song, Utensil Formalizing geometric algebra in Lean. (English) Zbl 1494.68307 Adv. Appl. Clifford Algebr. 32, No. 3, Paper No. 28, 26 p. (2022). Reviewer: Eckhard Hitzer (Tokyo) MSC: 68V20 11E88 15A66 15A67 PDFBibTeX XMLCite \textit{E. Wieser} and \textit{U. Song}, Adv. Appl. Clifford Algebr. 32, No. 3, Paper No. 28, 26 p. (2022; Zbl 1494.68307) Full Text: DOI arXiv Backlinks: MO
Breuils, Stephane; Tachibana, Kanta; Hitzer, Eckhard New applications of Clifford’s geometric algebra. (English) Zbl 1490.15036 Adv. Appl. Clifford Algebr. 32, No. 2, Paper No. 17, 39 p. (2022). Reviewer: Morteza Shahpari (Adelaide) MSC: 15A67 15A66 68T01 68U05 11E88 70E60 94A12 PDFBibTeX XMLCite \textit{S. Breuils} et al., Adv. Appl. Clifford Algebr. 32, No. 2, Paper No. 17, 39 p. (2022; Zbl 1490.15036) Full Text: DOI
Li, Li-Ming; Shi, Zhi-Ping; Guan, Yong; Zhang, Qian-Ying; Li, Yong-Dong Formalization of geometric algebra in HOL Light. (English) Zbl 1468.68329 J. Autom. Reasoning 63, No. 3, 787-808 (2019). MSC: 68V20 15A66 PDFBibTeX XMLCite \textit{L.-M. Li} et al., J. Autom. Reasoning 63, No. 3, 787--808 (2019; Zbl 1468.68329) Full Text: DOI
Trindade, Marco A. S.; Pinto, Eric; Floquet, Sergio Clifford algebras, multipartite systems and gauge theory gravity. (English) Zbl 1408.83010 Adv. Appl. Clifford Algebr. 29, No. 1, Paper No. 1, 17 p. (2019). MSC: 83C05 15A66 16T05 81P40 81P45 83C57 70S15 PDFBibTeX XMLCite \textit{M. A. S. Trindade} et al., Adv. Appl. Clifford Algebr. 29, No. 1, Paper No. 1, 17 p. (2019; Zbl 1408.83010) Full Text: DOI arXiv
Hitzer, Eckhard; Sangwine, Stephen Multivector and multivector matrix inverses in real Clifford algebras. (English) Zbl 1426.15035 Appl. Math. Comput. 311, 375-389 (2017). MSC: 15A66 11E88 15A09 PDFBibTeX XMLCite \textit{E. Hitzer} and \textit{S. Sangwine}, Appl. Math. Comput. 311, 375--389 (2017; Zbl 1426.15035) Full Text: DOI Link
Prodanov, D.; Toth, V. T. Sparse representations of Clifford and tensor algebras in maxima. (English) Zbl 1367.15040 Adv. Appl. Clifford Algebr. 27, No. 1, 661-683 (2017). MSC: 15A66 15A69 78A25 78M25 11E88 94B27 53A45 PDFBibTeX XMLCite \textit{D. Prodanov} and \textit{V. T. Toth}, Adv. Appl. Clifford Algebr. 27, No. 1, 661--683 (2017; Zbl 1367.15040) Full Text: DOI arXiv
Abłamowicz, Rafał; Fauser, Bertfried Using periodicity theorems for computations in higher dimensional Clifford algebras. (English) Zbl 1298.65073 Adv. Appl. Clifford Algebr. 24, No. 2, 569-587 (2014). MSC: 65F30 15A66 PDFBibTeX XMLCite \textit{R. Abłamowicz} and \textit{B. Fauser}, Adv. Appl. Clifford Algebr. 24, No. 2, 569--587 (2014; Zbl 1298.65073) Full Text: DOI arXiv
Abłamowicz, Rafał; Fauser, Bertfried On parallelizing the Clifford algebra product for CLIFFORD. (English) Zbl 1298.65072 Adv. Appl. Clifford Algebr. 24, No. 2, 553-567 (2014). MSC: 65F30 15A66 65Y15 PDFBibTeX XMLCite \textit{R. Abłamowicz} and \textit{B. Fauser}, Adv. Appl. Clifford Algebr. 24, No. 2, 553--567 (2014; Zbl 1298.65072) Full Text: DOI arXiv
Hitzer, Eckhard Two-sided Clifford Fourier transform with two square roots of \(-1\) in \(Cl(p,q)\). (English) Zbl 1301.42017 Adv. Appl. Clifford Algebr. 24, No. 2, 313-332 (2014). MSC: 42B10 15A66 94A12 PDFBibTeX XMLCite \textit{E. Hitzer}, Adv. Appl. Clifford Algebr. 24, No. 2, 313--332 (2014; Zbl 1301.42017) Full Text: DOI arXiv
Hitzer, Eckhard; Helmstetter, Jacques; Abłamowicz, Rafał Square roots of \(-1\) in real Clifford algebras. (English) Zbl 1273.15025 Hitzer, Eckhard (ed.) et al., Quaternion and Clifford Fourier transforms and wavelets. Papers from a session of the 9th international conference on Clifford algebras and their applications, ICCA9, Weimar, Germany, July 15–20, 2011. New York, NY: Birkhäuser/Springer (ISBN 978-3-0348-0602-2/hbk; 978-3-0348-0603-9/ebook). Trends in Mathematics, 123-153 (2013). MSC: 15A66 11E88 42A38 30G35 PDFBibTeX XMLCite \textit{E. Hitzer} et al., in: Quaternion and Clifford Fourier transforms and wavelets. Papers from a session of the 9th international conference on Clifford algebras and their applications, ICCA9, Weimar, Germany, July 15--20, 2011. New York, NY: Birkhäuser/Springer. 123--153 (2013; Zbl 1273.15025) Full Text: DOI arXiv
Abłamowicz, Rafał; Fauser, Bertfried On the transposition anti-involution in real Clifford algebras. III: The automorphism group of the transposition scalar product on spinor spaces. (English) Zbl 1388.15021 Linear Multilinear Algebra 60, No. 6, 621-644 (2012). MSC: 15A66 16S35 20C05 68W30 PDFBibTeX XMLCite \textit{R. Abłamowicz} and \textit{B. Fauser}, Linear Multilinear Algebra 60, No. 6, 621--644 (2012; Zbl 1388.15021) Full Text: DOI arXiv
Hitzer, Eckhard; Abłamowicz, Rafał Geometric roots of \(-1\) in Clifford algebras \(C \ell_{p,q}\) with \(p + q \leq 4\). (English) Zbl 1216.15019 Adv. Appl. Clifford Algebr. 21, No. 1, 121-144 (2011). MSC: 15A66 15B33 11E88 42A38 30G35 PDFBibTeX XMLCite \textit{E. Hitzer} and \textit{R. Abłamowicz}, Adv. Appl. Clifford Algebr. 21, No. 1, 121--144 (2011; Zbl 1216.15019) Full Text: DOI arXiv
Abłamowicz, Rafał Computations with Clifford and Grassmann algebras. (English) Zbl 1182.65068 Adv. Appl. Clifford Algebr. 19, No. 3-4, 499-545 (2009). MSC: 65F30 15A66 15A75 65Y15 PDFBibTeX XMLCite \textit{R. Abłamowicz}, Adv. Appl. Clifford Algebr. 19, No. 3--4, 499--545 (2009; Zbl 1182.65068) Full Text: DOI
Fauser, Bertfried Products, coproducts, and singular value decomposition. (English) Zbl 1119.18007 Int. J. Theor. Phys. 45, No. 9, 1731-1755 (2006). MSC: 18D10 15A18 PDFBibTeX XMLCite \textit{B. Fauser}, Int. J. Theor. Phys. 45, No. 9, 1731--1755 (2006; Zbl 1119.18007) Full Text: DOI arXiv
Abłamowicz, Rafał; Fauser, Bertfried Clifford and Graßmann Hopf algebras via the BIGEBRA package for Maple. (English) Zbl 1196.16042 Comput. Phys. Commun. 170, No. 2, 115-130 (2005). MSC: 16Z05 16T05 15A75 81R05 81R50 16-04 PDFBibTeX XMLCite \textit{R. Abłamowicz} and \textit{B. Fauser}, Comput. Phys. Commun. 170, No. 2, 115--130 (2005; Zbl 1196.16042) Full Text: DOI arXiv
Ablamowicz, Rafal; Fauser, Bertfried Mathematics of Clifford – a Maple package for Clifford and Graßmann algebras. (English) Zbl 1099.65520 Adv. Appl. Clifford Algebr. 15, No. 2, 157-181 (2005). MSC: 65F30 15A66 65Y15 PDFBibTeX XMLCite \textit{R. Ablamowicz} and \textit{B. Fauser}, Adv. Appl. Clifford Algebr. 15, No. 2, 157--181 (2005; Zbl 1099.65520) Full Text: DOI arXiv
Abłamowicz, Rafał (ed.); Sobczyk, Garret (ed.) [Baylis, William E.; Branson, Thomas; Lounesto, Pertti; Porteous, Ian; Ryan, John; Selig, J. M.; Ablamowicz, R.; Sobczyk, G.] Lectures on Clifford (geometric) algebras and applications. (English) Zbl 1058.15033 Boston, MA: Birkhäuser. (ISBN 0-8176-3257-3/pbk). xvii, 221 p. (2004). Reviewer: Waldyr A. Rodrigues (Campinas) MSC: 15A66 11E88 15-06 30G35 83C60 15A75 15-02 PDFBibTeX XML