Comtrans algebras and their physical applications

• Autorzy: Jonathan Smith
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1993
• Tom: 28
• Numer: 1
• Strony: 319-326

Daty

wydano

1993

Twórcy

autor

Jonathan Smith

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

Bibliografia

• [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.