5 papers
Standard posets and integral weight bases for symmetric powers of minuscule representations
Michael C. Strayer
This paper extends our earlier work where we constructed ``minuscule'' representations of Kac--Moody algebras from colored posets in a way that maintains key properties of the well…
Classifications of -colored minuscule posets and -minuscule Kac--Moody representations
Michael C. Strayer
The -colored -complete and -colored minuscule posets unify and generalize multiple classes of colored posets introduced by R.A. Proctor, J.R. Stembridge, and R.M. Green. I…
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…
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…
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…