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Volumn 301, Issue 2, 2006, Pages 459-473

Clifford algebra-parametrized octonions and generalizations

Author keywords

Clifford algebras; Graded associative algebras; Octonions

Indexed keywords


EID: 33646780622     PISSN: 00218693     EISSN: 1090266X     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2006.04.004     Document Type: Article
Times cited : (15)

References (20)
  • 3
    • 33646808812 scopus 로고    scopus 로고
    • Sthanumoorthy M., and Misra K.C. (Eds), Amer. Math. Soc., Providence, RI
    • In: Sthanumoorthy M., and Misra K.C. (Eds). Kač-Moody Lie algebras and related topics: Ramanujan International Symposium on Kač-Moody Lie Algebras and Applications. Amer. Math. Soc. Colloq. Publ. (2004), Amer. Math. Soc., Providence, RI
    • (2004) Amer. Math. Soc. Colloq. Publ.
  • 5
    • 0002891146 scopus 로고
    • Particles, twistors and division algebras
    • Bengtsson I., and Cederwall M. Particles, twistors and division algebras. Nucl. Phys. B 302 (1988) 81-103
    • (1988) Nucl. Phys. B , vol.302 , pp. 81-103
    • Bengtsson, I.1    Cederwall, M.2
  • 6
    • 34848828038 scopus 로고    scopus 로고
    • Octonion X-product and octonion lattices hep-th/9411063
    • Dixon G.M. Octonion X-product orbits. Octonion X-product and octonion lattices hep-th/9411063
    • Octonion X-product orbits
    • Dixon, G.M.1
  • 8
    • 0030573952 scopus 로고    scopus 로고
    • M-theory on eight-manifolds
    • hep-th/9605053
    • Becker K., and Becker M. M-theory on eight-manifolds. Nucl. Phys. B 477 (1996) 155-167. hep-th/9605053
    • (1996) Nucl. Phys. B , vol.477 , pp. 155-167
    • Becker, K.1    Becker, M.2
  • 9
    • 0037130366 scopus 로고    scopus 로고
    • Generalized space-time supersymmetries, division algebras and octonionic M-theory
    • hep-th/0203149
    • Lukierski J., and Toppan F. Generalized space-time supersymmetries, division algebras and octonionic M-theory. Phys. Lett. B 539 (2002) 266-276. hep-th/0203149
    • (2002) Phys. Lett. B , vol.539 , pp. 266-276
    • Lukierski, J.1    Toppan, F.2
  • 10
    • 0035997407 scopus 로고    scopus 로고
    • The octonions
    • math.RA/0105155
    • Baez J. The octonions. Bull. Amer. Math. Soc. 39 (2002) 145-205. math.RA/0105155
    • (2002) Bull. Amer. Math. Soc. , vol.39 , pp. 145-205
    • Baez, J.1
  • 11
    • 4243889229 scopus 로고
    • Octonionic representations of SO ( 8 ) and its subgroups and cosets
    • Dundarer A.R., and Gursey F. Octonionic representations of SO ( 8 ) and its subgroups and cosets. J. Math. Phys. 32 (1991) 1176-1181
    • (1991) J. Math. Phys. , vol.32 , pp. 1176-1181
    • Dundarer, A.R.1    Gursey, F.2
  • 12
    • 33750535972 scopus 로고
    • Generalized vector products, duality and octonionic identities in D = 8 geometry
    • Tze C.-H. Generalized vector products, duality and octonionic identities in D = 8 geometry. J. Math. Phys. 25 (1984) 1496-1506
    • (1984) J. Math. Phys. , vol.25 , pp. 1496-1506
    • Tze, C.-H.1
  • 13
    • 21444452687 scopus 로고    scopus 로고
    • Quaternionic and octonionic spinors. A classification
    • hep-th/0302113
    • Carrion H.L., Rojas M., and Toppan F. Quaternionic and octonionic spinors. A classification. JHEP 0304 (2003) 040. hep-th/0302113
    • (2003) JHEP , vol.304 , pp. 040
    • Carrion, H.L.1    Rojas, M.2    Toppan, F.3
  • 14
    • 0001324389 scopus 로고
    • Real representations of finite Clifford algebras. II. Explicit construction and pseudo-octonion
    • Okubo S. Real representations of finite Clifford algebras. II. Explicit construction and pseudo-octonion. J. Math. Phys. 32 (1991) 1669-1674
    • (1991) J. Math. Phys. , vol.32 , pp. 1669-1674
    • Okubo, S.1
  • 15
    • 33646816596 scopus 로고    scopus 로고
    • Octonions and triality
    • also found
    • Lounesto P. Octonions and triality. Adv. Appl. Clifford Algebras 11 2 (2001) 191-213 also found
    • (2001) Adv. Appl. Clifford Algebras , vol.11 , Issue.2 , pp. 191-213
    • Lounesto, P.1
  • 16
    • 33646771994 scopus 로고    scopus 로고
    • Octonions and triality
    • Clifford Algebras and Spinors, Cambridge Univ. Press, Cambridge (Chapter 23)
    • Lounesto P. Octonions and triality. Clifford Algebras and Spinors. London Math. Soc. Lecture Note Ser. vol. 286 (2002), Cambridge Univ. Press, Cambridge (Chapter 23)
    • (2002) London Math. Soc. Lecture Note Ser. , vol.286
    • Lounesto, P.1
  • 19
    • 34250966802 scopus 로고
    • Zur Struktur von Alternativkorpern
    • Moufang R. Zur Struktur von Alternativkorpern. Math. Ann. 110 (1934) 416-430
    • (1934) Math. Ann. , vol.110 , pp. 416-430
    • Moufang, R.1
  • 20
    • 33646807639 scopus 로고    scopus 로고
    • R. da Rocha, J. Vaz Jr., Isotopic liftings of Clifford algebras and applications, in: Quantum Field Theory, 2006, in preparation


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.