The simple operators now act as follows:
They still satisfy braid relations but now the square of a simple operator involves two fixed parameters:
By product, one has operators 
indexed by permutations,
which constitute a linear basis of the generic Hecke algebra
(HEKA ), i.e. the algebra generated
by the 
's. Another basis is Yang-Baxter basis
(HekaYang ).
Finally, the action of an arbitrary element h of the
Hecke algebra on a polynomial in the 
's is given by the HekaOnPol
function.
, 
(