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The biHecke monoid of a finite Coxeter group and its representations
Coxeter groups Hecke algebras representation theory blocks of permutation matrices
2011/1/19
For any finite Coxeter group W, we introduce two new objects:its cutting poset and its biHecke monoid. The cutting poset, constructed using a generalization of the notion of blocks in permutation matr...
Bounding reflection length in an affine Coxeter group
reflection length affine Coxeter group
2010/12/13
In any Coxeter group, the conjugates of elements in
the standard minimal generating set are called reflections and the minimal number of reflections needed to factor a particular element is called it...
Algebraic Linearization of Dynamics of Calogero Type for any Coxeter Group
Algebraic Linearization Dynamics of Calogero Type Coxeter Group
2010/11/2
Calogero-Moser systems can be generalized for any root system (including the non-crystallographic cases). The algebraic linearization of the generalized Calogero-Moser systems and of their quadratic (...