8 citations · 11 across the 4 of their papers we have counts for
7 papers
Tensor powers of vector representation of at even roots of unity
Anna Lachowska, Olga Postnova, Nicolai Reshetikhin +1
We study the decomposition of tensor powers of two dimensional irreducible representations of quantum at even roots of unity into direct sums of tilting modules.…
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 on the exterior algebra as a pr…
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…
Counting filter restricted paths in 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…
Limit shape for infinite rank limit of tensor power decomposition for Lie algebras of series so(2n+1)
Anton Nazarov, Pavel Nikitin, Olga Postnova
We consider the Plancherel measure on irreducible components of tensor powers of the spinor representation of so(2n+1). The irreducible representations correspond to the generalize…
On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras
Olga Postnova, Nicolai Reshetikhin
In this paper we study the asymptotic of multiplicities of irreducible representations in large tensor products of finite dimensional representations of simple Lie algebras and the…