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Bibliography
V. I. Arnol'd: Critical points of smooth functions, Proc. Intern. Congress of Math., Vanoouver 1.974.
E. Brieskorn: Singular elements of semisimple algebraic groups, Actes Congrès Intern. Math.1.970, t. 2, 279–284.
F. Bruhat, J. Tits: Groupes réductifs sur un corps local, Publ. Math. I.H.E.S. 41 (1972), 1–251.
H. Garland: The aritmetic theory of loop groups, Publ. Math. I.H.E.S. 52, to appear.
N. Iwahori, H. Matsumoto: On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups, Publ. Math. I.H.E.S. 25 (1965), 5–48.
V.G. Kac: Simple irreducible graded Lie algebras of finite growth, Math. USSR Izvestija 2 (1968), 1271–1311.
V.G. Kac: Infinite dimensional Lie algebras and Dedekind's η-function, Functional Analysis and its Applications 8 (1974), 68–70.
M. Kato, T. Yano: Free deformations of simply elliptic singularities, Science Reports of the Saitama University, Series A, Vol.IX, No. 3, 1980, 71–79.
H. Knörrer: Die Singularitäten vom Typ \(\tilde D\), Math.ann. 251 (1980), 135–150.
E.J. Looijenga: Root systems and elliptic curves, Invent. math. 38 (1976), 17–32
E. J. Looijenga: On the semiuniversal deformation of a simple elliptic singularity II, Topology 17 (1978), 23–40.
E.J. Looijenga: Invariant theory for generalized root systems, Invent. math. 61 (1980), 1–32.
E.J. Looijenga: Rational surfaces with an anti-canonical cycle, Annals of Math., to appear.
Y. Merindol: Déformations des surfaces de Del Pezzo, de points doubles rationnels et des cônes sur une courbe elliptique. Thèse 3ème cycle, Université Paris VII, 1980.
R.V. Moody: A new class of Lie algebras, J. Algebra 10 (1968), 211–230.
R.V. Moody: Euclidean Lie algebras, Can. J. Math. 21 (1969), 1432–1454.
C.C. Moore: Group extensions of p-adic and adelic linear groups, Publ. Math. I.H.E.S. 35 (1968), 157–222.
H. Pinkham: Deformations of algebraic varieties with Gm-action, Asterisque 20, Soc. Math, France, 1974.
H. Pinkham: Simple elliptic singularities, Del Pezzo surfaces and Cremona transformations, Proc. of Symp. in Fure Math. 30 (1977), 69–71.
K. Saito: Einfach elliptische singularitäten, Invent. math. 23 (1974), 289–325.
P. Slodowy: Simple singularities and simple algebraic groups, Lecture Notes in Math. 815, Springer, Berlin-Heidelberg-New York, 1980.
P. Slodowy: Kac Moody Lie algebras, associated groups and special singularities, in preparation.
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Slodowy, P. (1982). Chevalley groups over ℂ ((t)) and deformations of simply elliptic singularities. In: Aroca, J.M., Buchweitz, R., Giusti, M., Merle, M. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 961. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071289
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DOI: https://doi.org/10.1007/BFb0071289
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