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math.CO2010★ 8 cited
The biHecke monoid of a finite Coxeter group and its representations
Florent Hivert, Anne Schilling, Nicolas M. Thiéry
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 block…
math.RT2010★ 24 cited
On the representation theory of finite J-trivial monoids
Tom Denton, Florent Hivert, Anne Schilling +1
In 1979, Norton showed that the representation theory of the 0-Hecke algebra admits a rich combinatorial description. Her constructions rely heavily on some triangularity property…