Geneviève Dermenjian, Irène Jami, Annie Rouquier & Françoise Thébaud

Annie.

Rouquier Complexes

1.1. Setup. In this talk k is a field of characteristic 0. Let (W,S) be a Coxeter group with |S| = n < ∞. Also we let V = ∑ s∈S kes be the reflection representation of W , and R = k[V ]. R is a graded algebra with V ∗ in degree 2. We abbreviate M ⊗R N = MN for a right R-module M and a left R-module N . We let {αs}s∈S be the dual basis of {es}s∈S , which can be considered as elements in V ∗ ⊂ R....

Implementing COOL in JAMI

JAMI aims to be a generic aspect interpreter framework which can be used to prototype a wide range of AOP languages. However, only toy AOP languages have been implemented in JAMI. One of these toy AOP languages is a small subset of the coordination language COOL. By extending the COOL implementation, we implement a complex, existing AOP language to show that JAMI really supports a wide range of...

Beyond Rouquier Partitions

We obtain closed formulas, in terms of Littlewood-Richardson coefficients, for the canonical basis elements of the Fock space representation of Uv(ŝle) which are labelled by partitions having ‘locally small’ e-quotients and arbitrary e-cores. We further show that upon evaluation at v = 1, this gives the corresponding decomposition numbers of the q-Schur algebra in characteristic l (where q is a...

Annie Clephan