Abstract
If G is a finite Coxeter group, then symplectic reflection algebra H := H1,η (G) has Lie algebra of inner derivations and can be decomposed under spin: H = H0 ⊕ H1/2 ⊕ H1 ⊕ H3/2 ⊕ … We show that if the ideals
of all the vectors from the kernel of degenerate bilinear forms Bi(x, y) := spi (x · y), where spi are (super)traces on H, do exist, then
if and only if
.