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On geometric invariant theory for infinite-dimensional groups

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Algebraic Groups Utrecht 1986

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1271))

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References

  1. Bausch J., Automorphismes des algèbres de Kac-Moody affines, C.R. Acad. Sci. Paris (1986).

    Google Scholar 

  2. Borel A., Mostow G.D., On semisimple automorphisms of Lie algebras, Ann. Math. (2) 61(1955), 389–405.

    Article  MathSciNet  MATH  Google Scholar 

  3. Bourbaki N., Groupes et algèbres de Lie, Ch. 4–5, Hermann, Paris, 1968.

    MATH  Google Scholar 

  4. Bruhat F., Tits J., Groupes réductifs sur un corps local, Publ. Math. IHES, 41(1972), 5–251.

    Article  MathSciNet  MATH  Google Scholar 

  5. Kac V.G. Infinite-dimensional Lie algebras, Progress in Math. 44, Birkhauser, Boston, 1983, Second edition: Cambridge University Press, 1985.

    MATH  Google Scholar 

  6. Kac V.G., Constructing groups associated to infinite-dimensioanl Lie algebras, Proceedings of the conference on Infinite-diminsional Lie groups, Berkeley 1984, MSRI Publ. #4, 1985, 167–216.

    Google Scholar 

  7. Kac V.G., Peterson D.H., Unitary structure in representations of infinite-dimensional groups and a convexity theorem, Invent. math. 76(1984), 1–14.

    Article  MathSciNet  MATH  Google Scholar 

  8. Kac V.G., Peterson D.H. Regular functions on certain infinite-dimensional groups, Arithmetic and Geometry (ed. M. Artin and J. Tate), Progress in Math. 36, Birhauser, Boston, 141–166, 1983.

    Chapter  Google Scholar 

  9. Kac V.G., Peterson D.H., Defining relations of certain infinite-dimensional groups, Proceedings of the Cartan conference, Lyon 1984, Asterisque, Numero hors serie, 1985, 165–208.

    Google Scholar 

  10. Kempf G., Instability in invariant theory, Ann. Math. 108 (1978), 299–316.

    Article  MathSciNet  MATH  Google Scholar 

  11. Levstein F, A classification of involutive automorphisms of affine Kac-Moody Lie algebras, Thesis MIT, 1983.

    Google Scholar 

  12. Morita J., Conjugacy classes of the subalgebras Xℓ in the affine Lie algebra X (1)ℓ , preprint, 1986.

    Google Scholar 

  13. Peterson D.H., Kac V.G., Infinite flag varieties and conjugacy theorems, Proc. Natl. Acad. Sci. USA 80(1983), 1778–1782.

    Article  MathSciNet  MATH  Google Scholar 

  14. Slodowy P., An adjoint quotient for certain groups attached to Kac-Moody algebras, Proceedings of the conference on Infinite-dimensional groups, Berkeley 1984, MSRI Publ. #4, 1985, 307–333.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, M.I.T., 02139, Cambridge, MA, USA

    Victor G. Kac

  2. Department of Mathematics, University of British Columbia, Vancouver, Canada

    Dale H. Peterson

Authors
  1. Victor G. Kac
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  2. Dale H. Peterson
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Editor information

Arjeh M. Cohen Wim H. Hesselink Wilberd L. J. van der Kallen Jan R. Strooker

Additional information

Dedicated to Tony Springer on his 60th birthday.

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© 1987 Springer-Verlag

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Kac, V.G., Peterson, D.H. (1987). On geometric invariant theory for infinite-dimensional groups. In: Cohen, A.M., Hesselink, W.H., van der Kallen, W.L.J., Strooker, J.R. (eds) Algebraic Groups Utrecht 1986. Lecture Notes in Mathematics, vol 1271. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079235

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  • DOI: https://doi.org/10.1007/BFb0079235

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18234-4

  • Online ISBN: 978-3-540-47834-8

  • eBook Packages: Springer Book Archive

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