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The Jacobians and the discriminants of finite reflection groups

The Jacobians and the discriminants of finite reflection groups

Introduction.Let Kbe a field with characteristic not equal to two.Let Kbe an /-dimensional vector space over K.An invertible linear transformation g on V is called a reflection if ker(lg) is of codimension one.In this note we study a finite subgroup G^GL(V) generated by reflections, which is called a. finite reflection …