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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...
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 (...
