2 citations · 2 across the 2 of their papers we have counts for
5 papers
Jacobians of Reflection Groups
Julia Hartmann, Anne V. Shepler
Steinberg showed that when a finite reflection group acts on a real or complex vector space of finite dimension, the Jacobian determinant of a set of basic invariants factors into…
Classification of graded Hecke algebras for complex reflection groups
Arun Ram, Anne V. Shepler
The graded Hecke algebra for a finite Weyl group is intimately related to the geometry of the Springer correspondence. A construction of Drinfeld produces an analogue of a graded H…
Logarithmic forms and anti-invariant forms of reflection groups
Hiroaki Terao, Anne V. Shepler
Let W be a finite group generated by unitary reflections and A be the set of reflecting hyperplanes. We will give a characterization of the logarithmic differential forms with pole…
The Sign Representation for Shephard Groups
Peter Orlik, Victor Reiner, Anne V. Shepler
Shephard groups are unitary reflection groups arising as the symmetries of regular complex polytopes. For a Shephard group, we identify the representation carried by the principal…
Semiinvariants of Finite Reflection Groups
Anne V. Shepler
Let G be a finite group of complex n by n unitary matrices generated by reflections acting on C^n. Let R be the ring of invariant polynomials, and χbe a multiplicative character of…