Algebraic combinatorics | Representation theory

Differential poset

In mathematics, a differential poset is a partially ordered set (or poset for short) satisfying certain local properties. (The formal definition is given below.) This family of posets was introduced by as a generalization of Young's lattice (the poset of integer partitions ordered by inclusion), many of whose combinatorial properties are shared by all differential posets. In addition to Young's lattice, the other most significant example of a differential poset is the Young–Fibonacci lattice. (Wikipedia).

Differential poset
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Related pages

Fibonacci number | Vector space | Linear algebra | Young's lattice | Partially ordered set | Partition function (number theory) | Derivative | Conjecture | Young–Fibonacci lattice | Lattice (order) | Covering relation | Uncountable set | Polynomial | Symmetric group | Mathematical proof | Combinatorics | Algebra over a field | Distributive lattice | Asymptotic analysis | Representation theory | Kac–Moody algebra | Ring of symmetric functions | Mathematics | Integer | Involution (mathematics) | Locally finite poset | Basis (linear algebra) | Weyl algebra | Double factorial | Graded poset