Major Indices and Perfect Bases for Complex Reflection Groups
Copyright policy )Major Indices and Perfect Bases for Complex Reflection Groups
It is shown that, under mild conditions, a complex reflection group $G(r,p,n)$ may be decomposed into a set-wise direct product of cyclic subgroups. This property is then used to extend the notion of major index and a corresponding Hilbert series identity to these and other closely related groups.
- Bar-Ilan University Israel
Generators, relations, and presentations of groups, Hilbert series, Group Theory (math.GR), complex reflection groups, Combinatorial aspects of groups and algebras, Reflection and Coxeter groups (group-theoretic aspects), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), major index, Mathematics - Group Theory
Generators, relations, and presentations of groups, Hilbert series, Group Theory (math.GR), complex reflection groups, Combinatorial aspects of groups and algebras, Reflection and Coxeter groups (group-theoretic aspects), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), major index, Mathematics - Group Theory
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