  Let p an integer. We define a family of idempotents (and nilpotents) in the
Temperley - Lieb algebras at 4p-th roots of unity which generalize the usual
Jones-Wenzl idempotents. These new idempotents correspond to finite dimentional
simple and projective indecomposable representations of the restricted quantum
group Uqsl(2), where q is a 2p-th root of unity. In the manner of the [BHMV95]
topological quantum field theorie (TQFT), they provide a canonical basis in
colored skein modules to define mapping class groups representations. In the
torus case, this basis allows us to obtain a partial match between the negative
twist and the buckling actions, and the [LM94] induced representation of SL2(Z)
on the center of Uqsl(2), which extends non trivially the [RT91] representation
of SL2(Z).
