Skip to main content
Log in

Invariant theory for generaized root systems

  • Published:
Inventiones mathematicae Aims and scope

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

  1. Asch, A. van: Modular forms and root systems. Math. Ann.222, 145–170 (1976)

    Google Scholar 

  2. Baily, W.L. Borel, A.: Compactification of arithmetic quotients of bounded symmetric domains. Ann. of Math.84, 442–528 (1966)

    Google Scholar 

  3. Bernstein, I.N. Schwartzman, O.W. Chevalley's theorem for complex cristallographic Coxeter groups. Funkcional. Anal. i Priložen.12, 79–80 (1978)

    Google Scholar 

  4. Bourbaki, N.: Groupes et Algèbres de Lie, Ch. 4, 5 et 6. Paris: Hermann 1968

    Google Scholar 

  5. Kac, V.G.: Graded Lie algebras and symmetric spaces. Funkcional Anal. i Priložen.2, 93–94 (1968)

    Google Scholar 

  6. Kac, V.G.: Infinite-dimensional Lie algebras and Dedekind's eta function. Funkcional Anal. i Priložen.8, 77–78 (1974)

    Google Scholar 

  7. Kac, V.G.: Infinite-dimensional algebras, Dedekind's eta function, classical Möbius function and the very strange formula. Advances in Math.30, 85–136 (1978)

    Article  Google Scholar 

  8. Looijenga, E.: Root systems and elliptic curves. Invent. Math.38, 17–32 (1976)

    Google Scholar 

  9. Looijenga, E.: Homogeneous spaces associated to unimodal singularities. Proc. of the Intern. Congr. of Math. Helsinki, 277–281 (1978)

  10. Macdonald, I.G.: Affine root systems and Dedekind's eta function. Invent. Math.15, 91–143 (1972)

    Google Scholar 

  11. Moody, R.V.: A new class of Lie algebras. J. Algebra10, 211–230 (1968)

    Article  Google Scholar 

  12. Moody, R.V., Lepowski, J.: Hyperbolic Lie algebras and quasiregular, cusps on Hilbert modular surfaces. Math. Ann.245, 63–88 (1979)

    Google Scholar 

  13. Moody, R.V., Teo, K.L.: Tits' systems with crystallographic Weyl groups. J. Algebra21, 178–190 (1972)

    Article  Google Scholar 

  14. Saito, K.: Einfach-elliptische Singularitäten. Invent. Math.23, 289–325 (1974)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research partially supported by the Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France

Rights and permissions

Reprints and permissions

About this article

Cite this article

Looijenga, E. Invariant theory for generaized root systems. Invent Math 61, 1–32 (1980). https://doi.org/10.1007/BF01389892

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01389892

Keywords

Navigation