Skip to main content
Log in

Introduction to SH Lie algebras for physicists

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  • Barnes, D., and Lambe, L. A. (1991).Proceedings of the American Mathematical Society,112, 881–892.

    Google Scholar 

  • Berends, F. A., Burgers, G. J. H., and van Dam, H. (1985).Nuclear Physics B,260, 295–322.

    Google Scholar 

  • Burgers, G. J. H. (1985). On the construction of field theories for higher spin massless particles, Doctoral dissertation, Rijksuniversiteit te Leiden.

  • Chevalley, C., Eilenberg, S. (1948).Transactions of the American Mathematical Society,63, 85–124.

    Google Scholar 

  • Gerstenhaber, M. (1963).Annals of Mathematics,78, 267–288.

    Google Scholar 

  • Gugenheim, V. K. A. M. (1972).Illinois Journal of Mathematics,3, 398–414.

    Google Scholar 

  • Gugenheim, V. K. A. M. (1982).Journal of Pure and Applied Algebra,25, 197–205.

    Google Scholar 

  • Gugenheim, V. K. A. M., and Lambe, L. (1989).Illinois Journal of Mathematics,33.

  • Gugenheim, V. K. A. M., and Stasheff, J. (1986).Bulletin Société Mathématique de Belgique,38, 237–246.

    Google Scholar 

  • Gugenheim, V. K. A. M., Lambe, L., and Stasheff, J. (1990).Illinois Journal of Mathematics,34, 485–502.

    Google Scholar 

  • Gugenheim, V. K. A. M., Lambe, L., and Stasheff, J. (1991).Illinois Journal of Mathematics,35, 357–373.

    Google Scholar 

  • Hata, H., Itoh, K., Kugo, T., Kunitomo, H., and Ogawa, K. (1986).Physical Review D,34, 2360–2429.

    Google Scholar 

  • Hata, H., Itoh, H., Kugo, T., Kunitomo, H., and Ogawa, K. (1987).Physical Review D,35, 1318–1355.

    Google Scholar 

  • Jones, E. (1990). A study of Lie and associative algebras from a homotopy point of view, Master's Project, North Carolina State University.

  • Kadeishvili, T. (1982).Soobsh cheniya Akademiya Nauk Gruzinskoi SSR,108, 249–252.

    Google Scholar 

  • Kaku, M. (1988a).Physics Letters B,200, 22–30.

    Google Scholar 

  • Kaku, M. (1988b). Deriving the four-string interaction from geometric string field theory, preprint, CCNY-HEP-88/5.

  • Kaku, M. (1988c). Geometric derivation of string field theory from first principles: Closed strings and modular invariance, preprint, CCNY-HEP-88/6.

  • Kaku, M. (1988d).Introduction to Superstrings, Springer-Verlag, Berlin.

    Google Scholar 

  • Kontsevich, M. (1992). Graphs, homotopical algebra and low-dimensional topology, preprint.

  • Kaku, M., and Lykken, J. (1988). Modular invariant closed string field theory, preprint, CCNY-HEP-88/7.

  • Kugo, T. (1987). String field theory, Lectures delivered at 25th Course of the International School of Subnuclear Physics on “The Super World II”, Erice, August 6–14, 1987.

  • Kugo, T., and Suehiro, K. (1990).Nuclear Physics B, 434–466.

  • Kugo, T., Kunitomo, H., and Suehiro, K. (1989).Physics Letters,226B, 48–54.

    Google Scholar 

  • Lambe, L. (1992). Homological perturbation theory—Hochschild homology and formal groups, inProceedings Conference on Deformation Theory and Quantization with Applications to Physics, Amherst, June 1990, AMS, Providence, Rhode Island.

    Google Scholar 

  • Lambe, L., and Stasheff, J. D. (1987).Manuscripta Mathematica,58, 363–376.

    Google Scholar 

  • Retakh, V. S. (1977).Functional Analysis and Its Applications,11, 88–89.

    Google Scholar 

  • Retakh, V. S. (1993). Lie-Massey brackets andn-homotopically multiplicative maps of DG-Lie algebras,Journal of Pure and Applied Algebra, to appear.

  • Saadi, M. and Zwiebach, B. (1989).Annals of Physics,192, 213–227.

    Google Scholar 

  • Samelson, H. (1953).American Journal of Mathematics,75, 744–752.

    Google Scholar 

  • Schlessinger, M., and Stasheff, J. D. (1985).Journal of Pure and Applied Algebra,38, 313–322.

    Google Scholar 

  • Schlessinger, M., Stasheff, J. D. (n.d.) Deformation theory and rational homotopy type, Publications Mathematiques IHES, to appear.

  • Stasheff, J. D. (1963a).Transactions of the American Mathematical Society,108, 275–292.

    Google Scholar 

  • Stasheff, J. D. (1963b).Transactions of the American Mathematical Society,108, 293–312.

    Google Scholar 

  • Stasheff, J. D. (1970).H-Spaces From a Homotopy Point of View, Springer-Verlag, Berlin.

    Google Scholar 

  • Stasheff, J. D. (1988).Bulletin of the American Mathematical Society,1988, 287–290.

    Google Scholar 

  • Stasheff, J. (1989). An almost groupoid structure for the space of (open) strings and implications for string field theory,Advances in Homotopy Theory (Cortona, June 1988), LMS Lecture Note Series 139, pp. 165–172.

  • Stasheff, J. (1992). Drinfel'd's quasi-Hopf algebras and beyond, inProceedings Conference on Deformation Theory and Quantization with Applications to Physics, Amherst, June 1990, AMS, Providence, Rhode Island.

    Google Scholar 

  • Whitehead, J. H. C., (1941).Annals of Mathematics,42, 409–428.

    Google Scholar 

  • Wiesbrock, H.-W., (1991).Communications in Mathematical Physics,136, 369–397.

    Google Scholar 

  • Wiesbrock, H.-W., (1992a).Journal of Mathematical Physics,33, 1837–1840.

    Google Scholar 

  • Wiesbrock, H.-W. (1992b).Communications in Mathematical Physics,145, 17–42.

    Google Scholar 

  • Witten, E. (1992). Chern-Simons gauge theory as a string theory, preprint IASSNS-HEP-92/45.

  • Witten, E., and Zwiebach, B. (1992).Nuclear Physics B,377, 55–112.

    Google Scholar 

  • Zwiebach, B. (1992). Closed string field theory: Quantum action and the BV master equation, preprint IASSNS-HEP-92/41.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lada, T., Stasheff, J. Introduction to SH Lie algebras for physicists. Int J Theor Phys 32, 1087–1103 (1993). https://doi.org/10.1007/BF00671791

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00671791

Keywords

Navigation