Comtrans algebras and their physical applications

Jonathan Smith

Banach Center Publications (1993)

  • Volume: 28, Issue: 1, page 319-326
  • ISSN: 0137-6934

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Smith, Jonathan. "Comtrans algebras and their physical applications." Banach Center Publications 28.1 (1993): 319-326. <http://eudml.org/doc/262649>.

@article{Smith1993,
author = {Smith, Jonathan},
journal = {Banach Center Publications},
keywords = {brief survey; comtrans algebras; physical applications; Minkowski space- time; vector triple product; transposed comtrans algebra; Hermitian operators; quantum mechanics},
language = {eng},
number = {1},
pages = {319-326},
title = {Comtrans algebras and their physical applications},
url = {http://eudml.org/doc/262649},
volume = {28},
year = {1993},
}

TY - JOUR
AU - Smith, Jonathan
TI - Comtrans algebras and their physical applications
JO - Banach Center Publications
PY - 1993
VL - 28
IS - 1
SP - 319
EP - 326
LA - eng
KW - brief survey; comtrans algebras; physical applications; Minkowski space- time; vector triple product; transposed comtrans algebra; Hermitian operators; quantum mechanics
UR - http://eudml.org/doc/262649
ER -

References

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  1. [1] M. A. Akivis, Local algebras on a multidimensional three-web, Sibirsk. Mat. Zh. 17 (1976), 5-11 (in Russian); English translation: Siberian Math. J. 17 (1976), 3-8. 
  2. [2] I. Białynicki-Birula, A new approach to time reflection, Bull. Acad. Polon. Sci. Cl. III 5 (1957), 805-807. Zbl0085.43002
  3. [3] O. Chein, H. O. Pflugfelder and J. D. H. Smith (eds.), Quasigroups and Loops: Theory and Applications, Heldermann, Berlin 1990. Zbl0719.20036
  4. [4] V. V. Goldberg, Theory of Multicodimensional (n+1)-webs, Kluwer, Dordrecht 1988. Zbl0668.53001
  5. [5] H. Herrlich and G. E. Strecker, Category Theory, Allyn and Bacon, Boston 1973. Zbl0265.18001
  6. [6] K. H. Hofmann and K. Strambach, Lie's fundamental theorems for local analytical loops, Pacific J. Math. 123 (1986), 301-327. Zbl0596.22002
  7. [7] B. Huppert, Endliche Gruppen I, Springer, Berlin 1967. Zbl0217.07201
  8. [8] P. T. Matthews, Introduction to Quantum Mechanics, McGraw-Hill, New York 1963; Polish translation: PWN, Warszawa 1977. Zbl0111.42802
  9. [9] G. A. Saizew, Algebraic Problems of Mathematical and Theoretical Physics, Nauka, Moscow 1974 (in Russian); German translation: Akademie-Verlag, Berlin 1979. 
  10. [10] C. Scheiderer, Gewebegeometrie 10.6 bis 16.6.1984, Tagungsbericht 27/1984, Mathematisches Forschungsinstitut Oberwolfach, 1984. 
  11. [11] X. R. Shen and J. D. H. Smith, Simple multilinear algebras, rectangular matrices and Lie algebras, J. Algebra, to appear. Zbl0811.17024
  12. [12] X. R. Shen and J. D. H. Smith, Comtrans algebras and bilinear forms, Arch. Math. (Basel) 59 (1992), 327-333. Zbl0739.17010
  13. [13] X. R. Shen and J. D. H. Smith, Representation theory of comtrans algebras, J. Pure Appl. Algebra 80 (1992), 177-195. Zbl0758.17001
  14. [14] J. D. H. Smith, Mal'cev Varieties, Springer, Berlin 1976. Zbl0344.08002
  15. [15] J. D. H. Smith, Multilinear algebras and Lie's Theorem for formal n-loops, Arch. Math. (Basel) 51 (1988), 169-177. Zbl0627.22003
  16. [16] Á. Szendrei, Clones in Universal Algebra, Les Presses de l'Université de Montréal, Montréal 1986. 

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