3 papers
math.CO2020
Classifications of -colored -complete posets and upper -minuscule Borel representations
Michael C. Strayer
The -colored -complete posets correspond to certain Borel representations that are analogous to minuscule representations of semisimple Lie algebras. We classify -colored…
math.CO2018
Unified characterizations of minuscule Kac--Moody representations built from colored posets
Michael C. Strayer
R.M. Green described structural properties that ``doubly infinite'' colored posets should possess so that they can be used to construct representations of most affine Kac--Moody al…
math.CO2012
Recursive bijections for Catalan objects
Stefan Forcey, Mohammadmehdi Kafashan, Mehdi Maleki +1
In this note we introduce several instructive examples of bijections found between several different combinatorially defined sequences of sets. Each sequence has cardinalities give…