Algebraic K-Theory Evanston 1980 pp 1-23 | Cite as
The dilogarithm and extensions of Lie algebras
Conference paper
First Online:
Keywords
Exact Sequence Riemann Surface Line Bundle Heisenberg Group Central Extension
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
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.MathSciNetCrossRefzbMATHGoogle 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.MathSciNetCrossRefzbMATHGoogle Scholar
- 10._____, and Lepowsky, J., Lie algebra homology and the MacDonald-Kac formula, Inventiones Math. vol. 34 (1976) 37–76.MathSciNetCrossRefzbMATHGoogle 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.MathSciNetzbMATHGoogle 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).zbMATHGoogle 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
Copyright information
© Springer-Verlag 1981