O. Postnova

activity

20182024

most citedOn multiplicities of irreducibles in large tensor product of representations of simple Lie algebras

10 citations · 31 across the 7 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.RT2021★ 3 cited

Skew Howe duality and limit shapes of Young diagrams

Anton Nazarov, Olga Postnova, Travis Scrimshaw

We consider the skew Howe duality for the action of certain dual pairs of Lie groups $(G_{1}, G_{2})$ on the exterior algebra $⋀ (C^{n} \otimes C^{k})$ as a pr…

math.NT2021★ 8 cited

On string functions and double-sum formulas

Eric T. Mortenson, Olga Postnova, Dmitry Solovyev

String functions are important building blocks of characters of integrable highest modules over affine Kac--Moody algebras. Kac and Peterson computed string functions for affine Li…

math.CO2021

Counting filter restricted paths in $Z^{2}$ lattice

Olga Postnova, Dmitry Solovyev

We derive a path counting formula for two-dimensional lattice path model on a plane with filter restrictions. A filter is a line that restricts the path passing it to one of possib…

Skew Howe duality and limit shapes of Young diagrams

On string functions and double-sum formulas

Counting filter restricted paths in Z2 lattice

Counting filter restricted paths in $Z^{2}$ lattice