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- W3000103748 abstract "The wealth of beautiful combinatorics that arise in the representation theory of the symmetric group is well-known. In this paper, we analyze the representations of a related algebraic structure called the rook monoid from a combinatorial angle. In particular, we give a combinatorial construction of the irreducible representations of the rook monoid. Since the rook monoid contains the symmetric group, it is perhaps not surprising that the construction outlined in this paper is very similar to the classic combinatorial construction of the irreducible $S_n$-representations: namely, the Specht modules." @default.
- W3000103748 created "2020-01-23" @default.
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- W3000103748 date "2001-12-18" @default.
- W3000103748 modified "2023-09-29" @default.
- W3000103748 title "A Specht Module Analog for the Rook Monoid" @default.
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- W3000103748 doi "https://doi.org/10.37236/1619" @default.
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