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- W1671501368 abstract "We present a complete acyclic matching of the Hasse diagram associated with the face lattice of a hypersimplex. Since a hypersimplex is a convex polytope, there is a natural way to form a CW complex from its faces. We will then utilize this matching along with discrete Morse theory and some topological techniques to classify every subcomplex whose reduced homology groups are concentrated in a single degree. These reduced homology groups support a natural action of the symmetric group and a description of the characters that this action produces is given." @default.
- W1671501368 created "2016-06-24" @default.
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- W1671501368 date "2011-08-30" @default.
- W1671501368 modified "2023-09-27" @default.
- W1671501368 title "Homology Representations Arising from a Hypersimplex" @default.
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