Simulik, V. M.; Vyikon, I. I. On the representations of Clifford and \(\mathrm{SO}(1, 9)\) algebras for 8-component Dirac equation. (English) Zbl 1527.15023 Adv. Appl. Clifford Algebr. 33, No. 5, Paper No. 53, 18 p. (2023). Reviewer: Rutwig Campoamor Stursberg (Madrid) MSC: 15A67 15A66 15A30 20C33 81R05 81R10 81Q05 81T11 PDFBibTeX XMLCite \textit{V. M. Simulik} and \textit{I. I. Vyikon}, Adv. Appl. Clifford Algebr. 33, No. 5, Paper No. 53, 18 p. (2023; Zbl 1527.15023) Full Text: DOI
Velieva, T. R.; Gevorkyan, M. N.; Demidova, A. V.; Korol’kova, A. V.; Kulyabov, D. S. Geometric algebra and quaternion techniques in computer algebra systems for describing rotations in Eucledean space. (English. Russian original) Zbl 1522.81418 Comput. Math. Math. Phys. 63, No. 1, 29-39 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 1, 31-42 (2023). MSC: 81T32 30C45 15A67 20G20 PDFBibTeX XMLCite \textit{T. R. Velieva} et al., Comput. Math. Math. Phys. 63, No. 1, 29--39 (2023; Zbl 1522.81418); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 1, 31--42 (2023) Full Text: DOI
Larsson, Jonas; Larsson, Karl The Lorentz group and the Kronecker product of matrices. (English) Zbl 1521.83162 Eur. J. Phys. 43, No. 2, Article ID 025603, 16 p. (2022). MSC: 83C60 22E43 15A04 81R20 16S35 PDFBibTeX XMLCite \textit{J. Larsson} and \textit{K. Larsson}, Eur. J. Phys. 43, No. 2, Article ID 025603, 16 p. (2022; Zbl 1521.83162) Full Text: DOI arXiv
Agnew, Alfonso F.; Rathbun, Matt; Terry, William Projective points over matrices and their separability properties. (English) Zbl 1496.54007 Adv. Appl. Clifford Algebr. 32, No. 3, Paper No. 33, 16 p. (2022). Reviewer: Kyriakos Papadopoulos (Madīnat al-Kuwait) MSC: 54B15 51C99 83A05 15A66 PDFBibTeX XMLCite \textit{A. F. Agnew} et al., Adv. Appl. Clifford Algebr. 32, No. 3, Paper No. 33, 16 p. (2022; Zbl 1496.54007) Full Text: DOI
Hiley, Basil J.; Dennis, Glen; de Gosson, Maurice A. The role of geometric and dynamical phases in the Dirac-Bohm picture. (English) Zbl 1487.81109 Ann. Phys. 438, Article ID 168759, 31 p. (2022). MSC: 81R30 15A66 70S15 81Q65 53Z05 PDFBibTeX XMLCite \textit{B. J. Hiley} et al., Ann. Phys. 438, Article ID 168759, 31 p. (2022; Zbl 1487.81109) Full Text: DOI
Sbitnev, Valeriy I. Quaternion algebra on 4D superfluid quantum space-time. Dirac’s ghost fermion fields. (English) Zbl 1490.83089 Found. Phys. 52, No. 1, Paper No. 19, 21 p. (2022). MSC: 83F05 83C55 15A66 81T20 53C27 PDFBibTeX XMLCite \textit{V. I. Sbitnev}, Found. Phys. 52, No. 1, Paper No. 19, 21 p. (2022; Zbl 1490.83089) Full Text: DOI
Lim, Lek-Heng Tensors in computations. (English) Zbl 1512.65079 Acta Numerica 30, 555-764 (2021). MSC: 65F99 15A69 65-02 PDFBibTeX XMLCite \textit{L.-H. Lim}, Acta Numerica 30, 555--764 (2021; Zbl 1512.65079) Full Text: DOI arXiv
Venâncio, Joás; Batista, Carlos Two-component spinorial formalism using quaternions for six-dimensional spacetimes. (English) Zbl 1491.53066 Adv. Appl. Clifford Algebr. 31, No. 5, Paper No. 71, 46 p. (2021). MSC: 53C27 15A66 16H05 83C60 PDFBibTeX XMLCite \textit{J. Venâncio} and \textit{C. Batista}, Adv. Appl. Clifford Algebr. 31, No. 5, Paper No. 71, 46 p. (2021; Zbl 1491.53066) Full Text: DOI arXiv
Monakhov, Vadim; Kozhedub, Alexey Algebra of superalgebraic spinors as algebra of second quantization of fermions. (English) Zbl 1471.81046 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 22nd international conference on geometry, integrability and quantization, Varna, Bulgaria, June 8–13, 2020. Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 22, 165-187 (2021). MSC: 81R25 81R40 81V74 81T70 81R05 16W55 15A66 PDFBibTeX XMLCite \textit{V. Monakhov} and \textit{A. Kozhedub}, Geom. Integrability Quantization 22, 165--187 (2021; Zbl 1471.81046) Full Text: DOI
Qi, Liqun; Hu, Shenglong; Zhang, Xinzhen; Xu, Yanwei Biquadratic tensors, biquadratic decompositions, and norms of biquadratic tensors. (English) Zbl 1469.15030 Front. Math. China 16, No. 1, 171-185 (2021). MSC: 15A69 15A23 PDFBibTeX XMLCite \textit{L. Qi} et al., Front. Math. China 16, No. 1, 171--185 (2021; Zbl 1469.15030) Full Text: DOI arXiv
Li, Jiongyue; Zang, Yunlong A vector field method for some nonlinear Dirac models in Minkowski spacetime. (English) Zbl 1464.35276 J. Differ. Equations 273, 58-82 (2021). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 35Q41 35L05 35B40 35A01 83C60 15A66 PDFBibTeX XMLCite \textit{J. Li} and \textit{Y. Zang}, J. Differ. Equations 273, 58--82 (2021; Zbl 1464.35276) Full Text: DOI
Açık, Özgür Spin-1/2 and spin-3/2 field solutions in plane wave spacetimes. (English) Zbl 1392.83023 Gen. Relativ. Gravitation 50, No. 3, Paper No. 33, 15 p. (2018). MSC: 83C35 83C60 83C15 15A66 15A72 PDFBibTeX XMLCite \textit{Ö. Açık}, Gen. Relativ. Gravitation 50, No. 3, Paper No. 33, 15 p. (2018; Zbl 1392.83023) Full Text: DOI arXiv
Leão, Rafael F.; Rodrigues, Waldyr Alves jun.; Wainer, Samuel A. Concept of Lie derivative of spinor fields a geometric motivated approach. (English) Zbl 1373.53067 Adv. Appl. Clifford Algebr. 27, No. 1, 209-227 (2017); erratum ibid. 27, No. 1, 229-230 (2017). Reviewer: Corina Mohorianu (Iaşi) MSC: 53C27 15A66 57R15 PDFBibTeX XMLCite \textit{R. F. Leão} et al., Adv. Appl. Clifford Algebr. 27, No. 1, 209--227 (2017; Zbl 1373.53067) Full Text: DOI arXiv
Burlakov, Igor M. Geometric structures in bundles of associative algebras. (English) Zbl 1367.53011 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 55, No. 1, 27-30 (2016). MSC: 53A35 15A66 PDFBibTeX XMLCite \textit{I. M. Burlakov}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 55, No. 1, 27--30 (2016; Zbl 1367.53011) Full Text: Link
Monakhov, V. V. Superalgebraic representation of Dirac matrices. (English. Russian original) Zbl 1338.81352 Theor. Math. Phys. 186, No. 1, 70-82 (2016); translation from Teor. Mat. Fiz. 186, No. 1, 87-100 (2016). MSC: 81T60 81R25 15A66 15A75 46S60 PDFBibTeX XMLCite \textit{V. V. Monakhov}, Theor. Math. Phys. 186, No. 1, 70--82 (2016; Zbl 1338.81352); translation from Teor. Mat. Fiz. 186, No. 1, 87--100 (2016) Full Text: DOI
Varlamov, V. V. Spinor structure and internal symmetries. (English) Zbl 1361.81160 Int. J. Theor. Phys. 54, No. 10, 3533-3576 (2015). MSC: 81V05 81R05 81R25 15A66 11R52 22E43 81V22 81V35 PDFBibTeX XMLCite \textit{V. V. Varlamov}, Int. J. Theor. Phys. 54, No. 10, 3533--3576 (2015; Zbl 1361.81160) Full Text: DOI arXiv
Varlamov, V. V. \(CPT\) groups of spinor fields in de Sitter and anti-de Sitter spaces. (English) Zbl 1319.83023 Adv. Appl. Clifford Algebr. 25, No. 2, 487-516 (2015). MSC: 83C60 15A66 81T20 PDFBibTeX XMLCite \textit{V. V. Varlamov}, Adv. Appl. Clifford Algebr. 25, No. 2, 487--516 (2015; Zbl 1319.83023) Full Text: DOI arXiv
Vacaru, Sergiu I. Spinor and twistor geometry in Einstein gravity and Finsler modifications. (English) Zbl 1319.83022 Adv. Appl. Clifford Algebr. 25, No. 2, 453-485 (2015). MSC: 83C60 15A66 83C05 53B40 53C29 PDFBibTeX XMLCite \textit{S. I. Vacaru}, Adv. Appl. Clifford Algebr. 25, No. 2, 453--485 (2015; Zbl 1319.83022) Full Text: DOI arXiv Link
Korman, Eric O.; Sparling, George Bilinear forms and Fierz identities for real spin representations. (English) Zbl 1329.15055 Adv. Appl. Clifford Algebr. 22, No. 2, 329-363 (2012). Reviewer: Süleyman Güler (Aydin) MSC: 15A66 81R25 15A63 PDFBibTeX XMLCite \textit{E. O. Korman} and \textit{G. Sparling}, Adv. Appl. Clifford Algebr. 22, No. 2, 329--363 (2012; Zbl 1329.15055) Full Text: DOI arXiv
Cardoso, J. G. The classical two-component spinor formalisms for general relativity. I. (English) Zbl 1255.83086 Adv. Appl. Clifford Algebr. 22, No. 4, 955-983 (2012). MSC: 83C60 15A66 81T20 PDFBibTeX XMLCite \textit{J. G. Cardoso}, Adv. Appl. Clifford Algebr. 22, No. 4, 955--983 (2012; Zbl 1255.83086) Full Text: DOI
Cardoso, J. G. The classical two-component spinor formalisms for general relativity. II. (English) Zbl 1255.83085 Adv. Appl. Clifford Algebr. 22, No. 4, 985-1008 (2012). MSC: 83C60 15A66 81T20 PDFBibTeX XMLCite \textit{J. G. Cardoso}, Adv. Appl. Clifford Algebr. 22, No. 4, 985--1008 (2012; Zbl 1255.83085) Full Text: DOI
Wehbe, Mohammad Spinor algebra and null solutions of the wave equation. (English) Zbl 1310.81064 J. Math. Phys. 51, No. 5, 052303, 11 p. (2010). MSC: 81Q05 81R25 15A66 14D21 PDFBibTeX XMLCite \textit{M. Wehbe}, J. Math. Phys. 51, No. 5, 052303, 11 p. (2010; Zbl 1310.81064) Full Text: DOI arXiv
Ulrych, S. Gravitoelectromagnetism in a complex Clifford algebra. (English) Zbl 1247.83158 Phys. Lett., B 633, No. 4-5, 631-635 (2006). MSC: 83D05 81V22 81R25 83C50 11E88 15B33 30G35 PDFBibTeX XMLCite \textit{S. Ulrych}, Phys. Lett., B 633, No. 4--5, 631--635 (2006; Zbl 1247.83158) Full Text: DOI arXiv
Law, Peter R. Classification of the Weyl curvature spinors of neutral metrics in four dimensions. (English) Zbl 1110.53016 J. Geom. Phys. 56, No. 10, 2093-2108 (2006). Reviewer: Raina Ivanova (Hilo) MSC: 53B30 15A66 83C60 53C27 PDFBibTeX XMLCite \textit{P. R. Law}, J. Geom. Phys. 56, No. 10, 2093--2108 (2006; Zbl 1110.53016) Full Text: DOI
Francis, Matthew R.; Kosowsky, Arthur The construction of spinors in geometric algebra. (English) Zbl 1075.81036 Ann. Phys. 317, No. 2, 383-409 (2005). MSC: 81R25 81R05 15A66 22E70 PDFBibTeX XMLCite \textit{M. R. Francis} and \textit{A. Kosowsky}, Ann. Phys. 317, No. 2, 383--409 (2005; Zbl 1075.81036) Full Text: DOI arXiv
Francis, Matthew R.; Kosowsky, Arthur Geometric algebra techniques for general relativity. (English) Zbl 1062.83060 Ann. Phys. 311, No. 2, 459-502 (2004). Reviewer: Alex Gaina (Chisinau) MSC: 83C60 83C05 83C15 15A66 PDFBibTeX XMLCite \textit{M. R. Francis} and \textit{A. Kosowsky}, Ann. Phys. 311, No. 2, 459--502 (2004; Zbl 1062.83060) Full Text: DOI arXiv Link
Hannabuss, K. C. Highest weights, projective geometry, and the classical limit. I: Geometrical aspects and the classical limit. (English) Zbl 0948.22015 J. Geom. Phys. 34, No. 1, 1-28 (2000). Reviewer: R.Bödi (Tübingen) MSC: 22E46 51A50 81S10 15A66 81R50 PDFBibTeX XMLCite \textit{K. C. Hannabuss}, J. Geom. Phys. 34, No. 1, 1--28 (2000; Zbl 0948.22015) Full Text: DOI
Sławianowski, Jan J. \(U(2,2)\)-invariant spinorial geometrodynamics. (English) Zbl 0884.53073 Rep. Math. Phys. 38, No. 3, 375-397 (1996). Reviewer: J.D.Zund (Las Cruces) MSC: 53Z05 83E05 15A66 81R25 83C60 PDFBibTeX XMLCite \textit{J. J. Sławianowski}, Rep. Math. Phys. 38, No. 3, 375--397 (1996; Zbl 0884.53073) Full Text: DOI
Fleury, N.; Rausch de Traubenberg, M.; Yamaleev, R. M. Generalized Clifford algebras and hyperspin manifolds. (English) Zbl 0788.53013 Int. J. Theor. Phys. 32, No. 4, 503-516 (1993). Reviewer: J.D.Zund (Las Cruces) MSC: 53C27 15A66 57R15 PDFBibTeX XMLCite \textit{N. Fleury} et al., Int. J. Theor. Phys. 32, No. 4, 503--516 (1993; Zbl 0788.53013) Full Text: DOI
Reed, Irving S. Generalized de Moivre’s theorem, quaternions, and Lorentz transformations on a Minkowski space. (English) Zbl 0785.15004 Linear Algebra Appl. 191, 15-40 (1993). Reviewer: S.Sridhar (Madras) MSC: 15B33 PDFBibTeX XMLCite \textit{I. S. Reed}, Linear Algebra Appl. 191, 15--40 (1993; Zbl 0785.15004) Full Text: DOI
Fillmore, Jay P.; Springer, A. Möbius groups over general fields using Clifford algebras associated with spheres. (English) Zbl 0702.51003 Int. J. Theor. Phys. 29, No. 3, 225-246 (1990). Reviewer: R.Koch MSC: 51B10 15B57 51P05 15A66 51F25 83E30 PDFBibTeX XMLCite \textit{J. P. Fillmore} and \textit{A. Springer}, Int. J. Theor. Phys. 29, No. 3, 225--246 (1990; Zbl 0702.51003) Full Text: DOI
Finkelstein, David Hyperspin and hyperspace. (English) Zbl 1106.81307 Phys. Rev. Lett. 56, No. 15, 1532-1533 (1986). MSC: 81R25 53C27 15A66 81R05 83E15 83E50 PDFBibTeX XMLCite \textit{D. Finkelstein}, Phys. Rev. Lett. 56, No. 15, 1532--1533 (1986; Zbl 1106.81307) Full Text: DOI