2 papers
math.CO2025
Plinths and Pedestals
Oleg Ogievetsky, Senya Shlosman
In this paper we explain what are the plinths and the pedestals of the skyscrapers (=plane partitions), and how one can use them in order to count the skyscrapers.
math.CO2025
The major index (maj) and its Schützenberger dual
Oleg Ogievetsky, Senya Shlosman
We construct the independent particle representation for the Semistandard Young Tableaux (SsYT) of skew shape The partition function of this particle system gives the genera…