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The dilogarithm and extensions of Lie algebras

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Algebraic K-Theory Evanston 1980

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 854))

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Bibliography

  1. Bloch, S., Higher regulators, Algebraic K-theory, and zeta functions of elliptic curves, lecture notes, U.C. Irvine.

    Google Scholar 

  2. _____, Algebraic K-theory and zeta functions of elliptic curves, ICM, Helsinki, 1978.

    Google Scholar 

  3. _____, Appliations of the dilogarithm function in algebraic K-theory and algebraic geometry, Intl. Symp. on Algebraic Geometry, Kyoto (1977) 103–114.

    Google Scholar 

  4. _____, Lecture Notes on Algebraic Cycles, Duke University Lecture notes in mathematics IV, (1979).

    Google Scholar 

  5. _____, K2 of artinian Q-algebras, with aplications to algebraic cycles, Comm. in Algebra 3 (1975) 405–428.

    Article  MathSciNet  MATH  Google Scholar 

  6. _____, and Ogus, A., Gersten's conjecture and the homology of schemes, Ann. Ec. Norm. Sup. t. 7, fasc. 2 (1974).

    Google Scholar 

  7. Cartier, P., Théorie des groupes, fonctions théta, et modules des variétés abeliennes, Sem. Bourbaki, no. 338 (1968).

    Google Scholar 

  8. Deligne, P., Le Symbole modéré handwritten notes, dated July 25, 1979.

    Google Scholar 

  9. Garland, H., Dedekind's η-function and the cohomology of infinite-dimentional lie algebras, Proc. Nat. Acad. Sc. (U.S.A.) Vol. 72 (1975) 2493–2495.

    Article  MathSciNet  MATH  Google Scholar 

  10. _____, and Lepowsky, J., Lie algebra homology and the MacDonald-Kac formula, Inventiones Math. vol. 34 (1976) 37–76.

    Article  MathSciNet  MATH  Google Scholar 

  11. Katz, N., Nilpotent connections and the monodromy theorem: appliations of a result of Turrittin, Publ. Math. I.H.E.S. 39(1970).

    Google Scholar 

  12. Lepowsky, J., Generalized verma modules, loop space cohomology, and MacDonald-type identities, Ann. Ec. Norm. Sup. 4e serie, t. 12, (1979) 169–234.

    MathSciNet  MATH  Google Scholar 

  13. Maazen, H., and Stienstra, J., A presentation for K2 of split radical pairs preprint no. 31, Utrecht University (1976).

    Google Scholar 

  14. Milnor, J., Introduction to Algebraic K-theory, Ann. Math. studies no. 72, Princeton University Press, Princeton (1971).

    MATH  Google Scholar 

  15. Ramakrishnan, handwritten notes on the dilogarithm.

    Google Scholar 

  16. Tate, J., On the torsion in K2 of fields, Algebraic Number Theory Symposium, Kyoto (1976).

    Google Scholar 

  17. van der Kallen, W.L.J., Sur le K2 des nombres duanx, C.R. Acad. Sci. Paris 273 (1974) 1204–1207.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Chicago, USA

    Spencer Bloch

Authors
  1. Spencer Bloch
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Eric M. Friedlander Michael R. Stein

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© 1981 Springer-Verlag

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Bloch, S. (1981). The dilogarithm and extensions of Lie algebras. In: Friedlander, E.M., Stein, M.R. (eds) Algebraic K-Theory Evanston 1980. Lecture Notes in Mathematics, vol 854. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089515

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  • DOI: https://doi.org/10.1007/BFb0089515

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10698-2

  • Online ISBN: 978-3-540-38646-9

  • eBook Packages: Springer Book Archive

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