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Imprimitive Complex Reflection Groups G(m,p,n)
imprimitive complex reflection groups strongly congruence map automorphism groups
2011/9/28
We describe the group Aut(m,p,n) of all the reflection-preserving automorphisms of G(m,p,n). The results are obtained in the cases of p=1, p=m and p\in [2,m-1], separately. Then we study some structur...
Littlewood-Richardson coefficients for reflection groups
Littlewood-Richardson coefficients reflection groups
2011/1/19
In this paper we explicitly compute all Littlewood-Richardson coefficients for semisimple or Kac-Moody groups G, that is, the structure coefficients of the cohomology algebra H(G/P), where P is a par...
Deformed diagonal harmonic polynomials for complex reflection groups
Deformed diagonal harmonic polynomials reflection groups
2010/11/22
We introduce deformations of the space of (multi-diagonal) harmonic polynomials for any finite complex reflection group of the form W=G(m,p,n), and give supporting evidence that this space seems to al...