Christopher M. Drupieski

Lie superalgebras generated by reflections in Weyl groups of classical type

We consider the finite Weyl groups of classical type ( W ( A r ) for r ≥ 1 , W ( B r ) = W ( C r ) for r ≥ 2 , and W ( D r ) for r ≥ 4 ) as supergroups in which the reflections are of odd superdegree. Viewing the corresponding complex group algebras as Lie superalgebras via the g...