Corpus ID: 13987378

On the representation theory of finite J-trivial monoids

  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},
  • Tom Denton, Florent Hivert, +1 author Nicolas M. Thiéry
  • Published 2010
  • Mathematics
  • arXiv: Representation Theory
  • 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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