Differential Posets have Strict Rank Growth: A Conjecture of Stanley

作者：Miller Alexander R^*

来源：Order, 2013, 30(2): 657-662.

DOI：10.1007/s11083-012-9268-y

• Smith normal forms
• Differential posets
• Strict growth

We establish strict growth for the rank function of an r-differential poset. We do so by exploiting the representation theoretic techniques developed by Reiner and the author (Order 26(3):197-228, 2009) for studying related Smith forms.

• 出版日期2013-7