Canonical basic sets in type B

The main point of this paper is to prove a similar decomposition theorem for some generalisations of quiver Hecke algebras and hence obtain an analogue of the Dipper–Mathas

In fact, in characteristic zero, using these matrices, it is possible to prove the existence of certain indexing sets called “basic sets” which are in natural bijection with the set

The idea is to use results of Ariki which give an interpretation of the decom- position map using the theory of canonical basis of Fock spaces. This theory can.. not be applied to

We prove here our main result, Theorem 2: a square-free Weierstrass polynomial F ∈ K [[x]][y] is pseudo-irreducible if and only if it is balanced, in which case we

We give an explicit description of the “canonical basic set” for all Iwahori-Hecke algebras of finite Weyl groups in “good” characteristic.. We obtain a complete classification

They are cellular algebras, the simple modules have been classified in both semi-simple and modular cases and the decomposition matrices are known in characteristic 0 (see [21] for

Lusztig’s description of the canonical basis of f in type A (1) in [L1] implies that this basis can be naturally identified with the set of isomorphism classes of simple objects of

More precisely it is conjectured there that θ V(λ) admits a canonical basis which is naturally identified with the set of isomorphism classes of simple objects of a category of