On the Shard Intersection Order of a Coxeter Group
نویسندگان
چکیده
منابع مشابه
The Shard Intersection Order
We define a new lattice structure (W,) on the elements of a finite Coxeter group W. This lattice, called the shard intersection order, is weaker than the weak order and has the noncrossing partition lattice NC(W) as a sublattice. The new construction of NC(W) yields a new proof that NC(W) is a lattice. The shard intersection order is graded and its rank generating function is the W-Eulerian pol...
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We define a new lattice structure (W, ) on the elements of a finite Coxeter group W. This lattice, called the shard intersection order, is weaker than the weak order and has the noncrossing partition lattice NC(W ) as a sublattice. The new construction of NC(W ) yields a new proof that NC(W ) is a lattice. The shard intersection order is graded and its rank generating function is the W -Euleria...
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ژورنال
عنوان ژورنال: SIAM Journal on Discrete Mathematics
سال: 2013
ISSN: 0895-4801,1095-7146
DOI: 10.1137/110847202