3 papers
math.RT2024
Standard Lyndon loop words: weighted orders
Severyn Khomych, Nazar Korniichuk, Kostiantyn Molokanov +1
We generalize the study of standard Lyndon loop words from [A.Negut, A.Tsymbaliuk, "Quantum loop groups and shuffle algebras via Lyndon words", Adv. Math. 439 (2024), Paper No. 109…
math.CO2024
The diagonal derivative of a skew Schur polynomial
Darij Grinberg, Nazar Korniichuk, Kostiantyn Molokanov +1
We prove a formula for the image of a skew Schur polynomial under the differential operator $\nabla:= \dfrac{\partial}{\partial…
math.CO2023
The Pak--Postnikov and Naruse skew hook length formulas: a new proof
Darij Grinberg, Nazar Korniichuk, Kostiantyn Molokanov +1
The classical hook length formula of enumerative combinatorics expresses the number of standard Young tableaux of a given partition shape as a single fraction. In recent years, two…