Horn inequalities for nonzero Kronecker coefficients
نویسندگان
چکیده
منابع مشابه
On Nonzero Kronecker Coefficients and their Consequences for Spectra
A triple of spectra (r, r , r) is said to be admissible if there is a density operator ρ with (Spec ρ, Spec ρ, Spec ρ) = (r, r , r). How can we characterise such triples? It turns out that the admissible spectral triples correspond to Young diagrams (μ, ν, λ) with nonzero Kronecker coefficient gμνλ [4, 13]. This means that the irreducible representation Vλ is contained in the tensor product of ...
متن کاملOn rectangular Kronecker coefficients
We show that rectangular Kronecker coefficients stabilize when the lengths of the sides of the rectangle grow, and we give an explicit formula for the limit values in terms of invariants of sln.
متن کاملKronecker Coefficients for Some Near-rectangular Partitions
We give formulae for computing Kronecker coefficients occurring in the expansion of sμ ∗ sν , where both μ and ν are nearly rectangular, and have smallest parts equal to either 1 or 2. In particular, we study s(n,n−1,1) ∗ s(n,n), s(n−1,n−1,1) ∗ s(n,n−1), s(n−1,n−1,2) ∗ s(n,n), s(n−1,n−1,1,1) ∗ s(n,n) and s(n,n,1) ∗ s(n,n,1). Our approach relies on the interplay between manipulation of symmetric...
متن کاملGeneralized Stability of Kronecker Coefficients
Kronecker coefficients are tensor product multiplicities for the irreducible representations of the symmetric group. In this paper, we identify directions in the parameter space for tensor products along which these multiplicities are monotone convergent, generalizing a classical result of Murnaghan.
متن کاملNonvanishing of Kronecker Coefficients for Rectangular Shapes
We prove that for any partition (λ1, . . . , λd2) of size dm there exists k ≥ 1 such that the tensor square of the irreducible representation of the symmetric group Skdm with respect to the rectangular partition (km, . . . , km) contains the irreducible representation corresponding to the stretched partition (kλ1, . . . , kλd2). We also prove a related approximate version of this statement in w...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2019
ISSN: 0001-8708
DOI: 10.1016/j.aim.2019.106809