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- W2141912615 abstract "In linear algebraic monoid theory, the Renner monoids play the role of the Weyl groups in linear algebraic group theory. It is well known that Weyl groups are Coxeter groups, and that we can associate a Hecke algebra and an Artin–Tits group to each Coxeter group. The question of the existence of a Hecke algebra associated with each Renner monoid has been positively answered. In this paper we discuss the question of the existence of an equivalent of the Artin–Tits groups in the framework of Renner monoids. We consider the seminal case of the rook monoid and introduce a new length function." @default.
- W2141912615 created "2016-06-24" @default.
- W2141912615 creator A5091150644 @default.
- W2141912615 date "2008-06-01" @default.
- W2141912615 modified "2023-09-25" @default.
- W2141912615 title "THE BRAID ROOK MONOID" @default.
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- W2141912615 doi "https://doi.org/10.1142/s0218196708004603" @default.
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