# On the representation theory of finite J-trivial monoids

@article{Denton2010OnTR, title={On the representation theory of finite J-trivial monoids}, author={Tom Denton and Florent Hivert and Anne Schilling and Nicolas M. Thi{\'e}ry}, journal={arXiv: Representation Theory}, year={2010} }

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 of the product, but do not use explicitly that the 0-Hecke algebra is a monoid algebra.
The thesis of this paper is that considering the general setting of monoids admitting such a triangularity, namely J-trivial monoids, sheds further light on the topic. This is a step to use representation theory to automatically… CONTINUE READING

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