Abstract Kostka numbers and Littlewood-Richardson coefficients appear in combinatorics
and representation theory. Interest in their computation stems from the fact that they are …

Logarithmic concavity of Schur and related polynomials Page 1 TRANSACTIONS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 375, Number 6, June 2022, Pages 4411–4427 …

A wide variety of topics in pure and applied mathematics involve the problem of counting the
number of lattice points inside a convex bounded polyhedron, for short called a polytope …

We present a polynomiality property of the Littlewood–Richardson coefficients cλμν. The
coefficients are shown to be given by polynomials in λ, μ and ν on the cones of the chamber …

Subsystems of composite quantum systems are described by reduced density matrices, or
quantum marginals. Important physical properties often do not depend on the whole wave …

For fixed compact connected Lie groups H⊆ G, we provide a polynomial time algorithm to
compute the multiplicity of a given irreducible representation of H in the restriction of an …

We study coloured invariants of torus knots T (p, p′)(where p, p′ are coprime positive
integers). When the colouring Lie algebra is simply-laced, and when p, p′≥ h∨, we use …

This paper is a study of the polyhedral geometry of Gelfand–Tsetlin polytopes arising in the
representation theory of \frakgl_n\BbbC and algebraic combinatorics. We present a …

We report about some results, interesting examples, problems and conjectures revolving
around the parabolic Kostant partition functions, the parabolic Kostka polynomials and …

Let G be a connected, adjoint, simple algebraic group over the complex numbers with a
maximal torus T and a Borel subgroup B containing T. The study of zero weight spaces in …