@article{CM_1985__55_1_3_0, author = {Slodowy, Peter}, title = {A character approach to {Looijenga's} invariant theory for generalized root systems}, journal = {Compositio Mathematica}, pages = {3--32}, publisher = {Martinus Nijhoff Publishers}, volume = {55}, number = {1}, year = {1985}, mrnumber = {791645}, zbl = {0609.20024}, language = {en}, url = {http://archive.numdam.org/item/CM_1985__55_1_3_0/} }
TY - JOUR AU - Slodowy, Peter TI - A character approach to Looijenga's invariant theory for generalized root systems JO - Compositio Mathematica PY - 1985 SP - 3 EP - 32 VL - 55 IS - 1 PB - Martinus Nijhoff Publishers UR - http://archive.numdam.org/item/CM_1985__55_1_3_0/ LA - en ID - CM_1985__55_1_3_0 ER -
Slodowy, Peter. A character approach to Looijenga's invariant theory for generalized root systems. Compositio Mathematica, Tome 55 (1985) no. 1, pp. 3-32. http://archive.numdam.org/item/CM_1985__55_1_3_0/
[1] Groupes et algèbres de Lie, IV, V, VI, Hermann, Paris (1968). | MR
:[2] Singular elements of semisimple algebraic groups, Actes Congrès Intern, Math. (1970) t. 2, 279-284. | MR | Zbl
:[3] Basic representations of affine Lie algebras and dual resonance models, Inventiones Math. 62 (1980) 23-66. | MR | Zbl
and :[4] On defining relations of certain infinite-dimensional Lie algebras, Bull. AMS, New Ser, 5 (1981) 185-189. | MR | Zbl
and :[5] Lie algebra homology and the Macdonald-Kac formulas, Inventiones Math. 34 (1976) 37-76. | MR | Zbl
and :[6] The arithmetic theory of loop algebras, J. Algebra 53 (1978) 480-551. | MR | Zbl
:[7] The arithmetic theory of loop groups, Publ. Math. I.H.E.S. 52 (1980) 5-136. | Numdam | MR | Zbl
:[8] Simple irreducible graded Lie algebras of finite growth, Math. USSR Izvestija 2 (1968) 1271-1311. | MR | Zbl
:[9] An algebraic definition of the compact Lie groups, Trudy MIEM 5 (1969) 36-47 (in Russian).
:[10] Infinite-dimensional Lie algebras and Dedekind's η-function, Functional Anal. Appl. 8 (1974) 68-70. | Zbl
:[11] Infinite-dimensional algebras, Dedekind's η-function, classical Möbius function and the very strange formula, Advances in Math. 30 (1978) 85-136. | Zbl
:[12] Infinite root systems, representations of graphs, and invariant theory, Inventiones Math. 56 (1980) 57-92. | MR | Zbl
:[13] Affine Lie algebras and Hecke modular forms, Bull. AMS 3 (1980) 1057-1061. | MR | Zbl
and :[14] Infinite-dimensional Lie algebras, θ-functions, and modular forms. Advances in Math. 53 (1984) 125-264. | Zbl
and :[15] Hyperbolic Lie algebras and quasiregular cusps on Hilbert modular surfaces, Math. Ann. 245 (1979) 63-88. | MR | Zbl
and :[16] Root systems and elliptic curves, Inventiones Math. 38 (1976) 17-32. | MR | Zbl
:[17] On the semi-universal deformation of a simple elliptic singularity II, Topology 17 (1978) 23-40. | MR | Zbl
:[18] Invariant theory for generalized root systems, Inventiones Math. 61 (1980) 1-32. | MR | Zbl
:[19] Rational surfaces with an anti-canonical cycle, Annals of Math. 114 (1981) 267-322. | MR | Zbl
:[20] Affine root systems and Dedekind's η-function, Inventiones Math. 15 (1972) 91-143. | Zbl
![21] Tits' systems in generalized nonadjoint Chevalley groups, J. Algebra 34 (1975) 84-96. | MR | Zbl
:[22] Déformations des surfaces de del Pezzo, de points doubles rationnels et des cônes sur une courbe elliptique, Thèse 3eme cycle, Université de Paris VII, 1980.
:[23] Characters of rank two hyperbolic Lie algebras as functions at quasiregular cusps. J. Algebra 76 (1982) 494-504. | MR | Zbl
:[24] A new class of Lie algebras, J. Algebra 10 (1968) 211-230. | MR | Zbl
:[25] Euclidean Lie algebras, Can. J. Math. 21 (1969) 1434-1454. | MR | Zbl
:[26] Tits' systems with cristallographic Weyl groups, J. Algebra 21 (1972) 178-190. | MR | Zbl
, :[27] Simple elliptic singularities, Del Pezzo surfaces and Cremona transformations, Proc. Symp. Pure Math. 30 (1977) 69-71. | MR | Zbl
:[28] Simple singularities and simple algebraic groups, Lecture Notes In Math. 815, Springer, Berlin-Heidelberg -New York (1980). | MR | Zbl
:[29] Chevalley groups over C((t)) and deformations of simply elliptic singularities, RIMS Kokyuroku 415, 19-38, Kyoto University (1981). | MR
:[30] Adjoint quotients for Kac-Moody groups and deformations of special singularities, Seminar talks, Paris, March 1981.
:[31] Regular elements of semisimple algebraic groups, Publ. Math. I. H. E. S. 25 (1965) 49-80. | Numdam | MR | Zbl
:[32] Conjugacy classes in algebraic groups, Lecture Notes in Math. 366, Springer, Berlin-Heidelberg -New York (1974). | MR | Zbl
:[33] Resumé de cours, Annuaire du Collège de France 1980-1981, 1981-1982, Collège de France, Paris.
:[34] Définition par générateurs et relations de groupes avec BN-paires, C.R. Acad. Sc. Paris 293 (1981) 317-322. | MR | Zbl
:[35] Discrete linear groups generated by reflections, Math. USSR Izvestija 35 (1971) 1083-1119. | MR | Zbl
:[36] Unitary structure in representations of infinite-dimensional groups and a convexity theorem, Inventiones Math. 76 (1984) 1-14. | MR | Zbl
and :