Nikolaus Conference 2021

Speaker: Johannes Schmitt (Kaiserslautern)

Title: On Parabolic Subgroups of Symplectic Reflection Groups


Using the classification by A. Cohen, we prove that any subgroup of a symplectic reflection group that stabilizes a vector is a symplectic reflection group itself. This is the symplectic analogue of a theorem concerned with complex reflection groups by R. Steinberg.

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