Download PDF - Comtrans algebras and their physical applicationsAll rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

Comtrans algebras and their physical applications

Authors 1

Affiliations

  1. Department of Mathematics, Iowa State University, Ames, Iowa 50011, U.S.A.

Bibliography

  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. I. Białynicki-Birula, A new approach to time reflection, Bull. Acad. Polon. Sci. Cl. III 5 (1957), 805-807.
  3. O. Chein, H. O. Pflugfelder and J. D. H. Smith (eds.), Quasigroups and Loops: Theory and Applications, Heldermann, Berlin 1990.
  4. V. V. Goldberg, Theory of Multicodimensional (n+1)-webs, Kluwer, Dordrecht 1988.
  5. H. Herrlich and G. E. Strecker, Category Theory, Allyn and Bacon, Boston 1973.
  6. K. H. Hofmann and K. Strambach, Lie's fundamental theorems for local analytical loops, Pacific J. Math. 123 (1986), 301-327.
  7. B. Huppert, Endliche Gruppen I, Springer, Berlin 1967.
  8. P. T. Matthews, Introduction to Quantum Mechanics, McGraw-Hill, New York 1963; Polish translation: PWN, Warszawa 1977.
  9. G. A. Saizew, Algebraic Problems of Mathematical and Theoretical Physics, Nauka, Moscow 1974 (in Russian); German translation: Akademie-Verlag, Berlin 1979.
  10. C. Scheiderer, Gewebegeometrie 10.6 bis 16.6.1984, Tagungsbericht 27/1984, Mathematisches Forschungsinstitut Oberwolfach, 1984.
  11. X. R. Shen and J. D. H. Smith, Simple multilinear algebras, rectangular matrices and Lie algebras, J. Algebra, to appear.
  12. X. R. Shen and J. D. H. Smith, Comtrans algebras and bilinear forms, Arch. Math. (Basel) 59 (1992), 327-333.
  13. X. R. Shen and J. D. H. Smith, Representation theory of comtrans algebras, J. Pure Appl. Algebra 80 (1992), 177-195.
  14. J. D. H. Smith, Mal'cev Varieties, Springer, Berlin 1976.
  15. J. D. H. Smith, Multilinear algebras and Lie's Theorem for formal n-loops, Arch. Math. (Basel) 51 (1988), 169-177.
  16. Á. Szendrei, Clones in Universal Algebra, Les Presses de l'Université de Montréal, Montréal 1986.
Banach Center Publications
1993/28/1
Export to PBN, Opens in new tab
Pages:
319-326
Main language of publication
English
Published
1993
Exact and natural sciences