Towards Spetses | |

Complex
reflection groups in many aspects seem to behave like Weyl groups of
some hypothetical objects, called Spetses, similar to algebraic groups:
Using the concept of cyclotomic Hecke algebras, it is possible to
construct many combinatorial data with similar properties as those of
unipotent characters of finite reductive groups and to show their unicity under a sensible set of axioms. |