None

Boris Dubrovin, Youjin Zhang

Type: Article

Publication Date: 1998-01-01

Citations: 97

DOI: https://doi.org/10.1023/a:1000258122329

Abstract

We define certain extensions of affine Weyl groups (distinct from these considered by K. Saito [S1] in the theory of extended affine root systems), prove an analogue of Chevalley Theorem for their invariants, and construct a Frobenius structure on their orbit spaces. This produces solutions .

Locations

Compositio Mathematica - View - PDF

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Works Cited by This (7)

Action	Title	Year	Authors
+	Introduction to Lie Algebras and Representation Theory	1972	James E. Humphreys
+	Geometry of 2D topological field theories	1996	Boris Dubrovin
+	The complement of the bifurcation variety of a simple singularity	1974	Eduard Looijenga
+	Topological classification of trigonometric polynomials and combinatorics of graphs with an equal number of vertices and edges	1996	Vladimir I. Arnold
+	Geometry of bifurcation diagrams	1984	O. V. Lyashko
+	The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups	1992	Vladimir I. Arnold
+	On a certain generator system of the ring of invariants of a finite reflection group	1980	Kyoji Saito Tamaki Yano Jiro Sekiguchi