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Finite Reflection Groups in Characteristic Zero

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1988)

Abstract

From now on we keep the notation previously introduced: V is an r–dimensional vector space over the characteristic 0 field k, S is the symmetric algebra of V, \(\mathfrak{N}\) is its maximal graded ideal, G is a finite subgroup of GL(V), Ref(G) is the set of reflections in G, R = S G is the invariant algebra, \(\mathfrak{M}\) is its maximal graded ideal, S G := S/\(\mathfrak{M}\) S is the coinvariant algebra.

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Correspondence to Michel Broué .

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© 2010 Springer-Verlag Berlin Heidelberg

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Broué, M. (2010). Finite Reflection Groups in Characteristic Zero. In: Introduction to Complex Reflection Groups and Their Braid Groups. Lecture Notes in Mathematics(), vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11175-4_4

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