10 citations · 31 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
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…
Limit shape of probability measure on tensor product of algebra modules
Anton Nazarov, Olga Postnova
We study a probability measure on integral dominant weights in the decomposition of -th tensor power of spinor representation of the Lie algebra . The probability of t…