Li, Deming; Poole, Charles P. jun.; Farach, Horacio A. A general method of generating and classifying Clifford algebras. (English) Zbl 0601.15019 J. Math. Phys. 27, 1173-1180 (1986). The authors analyze the relationships between the various types of Clifford algebras. They propose a systematic way of generating higher- order algebras from lower-order ones. The generation method itself and the steps that are followed in arriving at it provide some important insights into the interconnectiveness of the various Clifford algebras of different orders and signatures. Reviewer: N.D.Sengupta Cited in 7 Documents MSC: 15A66 Clifford algebras, spinors 15A90 Applications of matrix theory to physics (MSC2000) 78A25 Electromagnetic theory (general) 81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations Keywords:faithful representation; equivalent and inequivalent representation; generating higher order algebra PDFBibTeX XMLCite \textit{D. Li} et al., J. Math. Phys. 27, 1173--1180 (1986; Zbl 0601.15019) Full Text: DOI References: [1] DOI: 10.2307/2369379 · JFM 10.0297.02 · doi:10.2307/2369379 [2] DOI: 10.1090/trans2/006/01 · Zbl 0077.14901 · doi:10.1090/trans2/006/01 [3] DOI: 10.1007/BF00729808 · doi:10.1007/BF00729808 [4] Srivastava T., Acta Phys. Austriaca 54 pp 287– (1982) [5] DOI: 10.1103/PhysRevLett.44.1718 · doi:10.1103/PhysRevLett.44.1718 [6] DOI: 10.1007/BF00736596 · doi:10.1007/BF00736596 [7] DOI: 10.1007/BF02085958 · doi:10.1007/BF02085958 [8] DOI: 10.1007/BF01331938 · doi:10.1007/BF01331938 [9] DOI: 10.2307/2371218 · Zbl 0011.24401 · doi:10.2307/2371218 [10] DOI: 10.1016/0040-9383(64)90003-5 · Zbl 0146.19001 · doi:10.1016/0040-9383(64)90003-5 [11] DOI: 10.1016/0196-8858(83)90002-7 · Zbl 0521.53014 · doi:10.1016/0196-8858(83)90002-7 [12] DOI: 10.1016/0196-8858(83)90003-9 · Zbl 0521.53015 · doi:10.1016/0196-8858(83)90003-9 [13] DOI: 10.1063/1.525192 · Zbl 0481.15013 · doi:10.1063/1.525192 [14] DOI: 10.1063/1.525165 · Zbl 0472.30040 · doi:10.1063/1.525165 [15] DOI: 10.1063/1.525165 · Zbl 0472.30040 · doi:10.1063/1.525165 [16] DOI: 10.1063/1.524893 · Zbl 0459.15017 · doi:10.1063/1.524893 [17] DOI: 10.1016/0370-2693(82)90524-X · doi:10.1016/0370-2693(82)90524-X [18] DOI: 10.1063/1.526260 · Zbl 0552.20008 · doi:10.1063/1.526260 [19] DOI: 10.1063/1.526597 · Zbl 0575.15012 · doi:10.1063/1.526597 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.