Skip to main content
SpringerLink
Log in

The group G2(ℂ) in connection with the theory of metaplectic forms

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

Some preliminary information which makes the consideration of metaplectic forms on G2(ℂ) possible is recounted.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature cited

  1. H. Bass, J. Milnor, and J.-P. Serre, “Solution of the congruence subgroup problem for SLn(n⩾3) and Sp2n(n⩾2),” Inst. Hautes Etudes Sci. Publ. Math.,33, 59–137 (1967).

    Google Scholar 

  2. Z. I. Borevich and I. R. Shafarevich, Theory of Numbers [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  3. C. Chevalley, Theory of Lie groups. I, Princeton Math. Series, Vol. 8, Princeton Univ. Press, Princeton, N.J. (1946).

    Google Scholar 

  4. C. Chevalley, “Sur certains groupes simples,” Tohoku Math. J.,7, 14–66 (1955).

    Google Scholar 

  5. Seminaire Chevalley, Classification des groupes de Lie algebriques,” Secretariat Math., Paris (1958).

  6. K. I. Gross, “The Plancherel theorem on the nilpotent part of G2 and some applications to the representation theory of G2,” Trans. Am. Math. Soc.,132, No. 2, 411–446 (1968).

    Google Scholar 

  7. N. Jacobson, “Cayley numbers and simple Lie algebras of type G,” Duke Math. J.,5, 775–783 (1939).

    Google Scholar 

  8. N. Jacobson, “Composition algebras and their automorphisms,” Rend. Circ. Mat. Palermo (2),7, 55–80 (1958).

    Google Scholar 

  9. D. A. Kazhdan and S. J. Patterson, “Metaplectic forms,” Inst. Hautes Etudes Sci. Publ. Math.,59, 35–142 (1984).

    Google Scholar 

  10. T. Kubota, “On automorphic functions and the reciprocity law in a number theory,” Lectures in Math., Kyoto Univ., No. 2 (1969).

  11. S. J. Patterson, “A cubic analog of the theta series I, II,” J. Reine Angew. Math.,296, 125–161, 217–220 (1977).

    Google Scholar 

  12. N. V. Proskurin, “Automorphic functions and the Bass-Milnor-Serre homomorphism, I, II,” J. Sov. Math.,28, No. 4 (1985).

  13. N. V. Proskurin, “On cubic symplectic metaplectic forms,” Preprint LOMI E-1-87, Leningrad (1987).

Download references

Authors
  1. N. V. Proskurin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 162, pp. 169–185, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Proskurin, N.V. The group G2(ℂ) in connection with the theory of metaplectic forms. J Math Sci 46, 1828–1840 (1989). https://doi.org/10.1007/BF01099350

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01099350

Keywords

Search

Navigation