Linearly Independent Products of Rectangularly Complementary Schur Functions
Michael Kleber
Abstract
Fix a rectangular Young diagram R, and consider all the products of Schur functions s(mu) s(muc), where mu and muc run over all (unordered) pairs of partitions which are complementary with respect to R. Theorem: The self-complementary products, s(mu)2 where mu=muc, are linearly independent of all other s(mu) s(muc). Conjecture: The products s(mu) s(muc) are all linearly independent.
Create a lesson
Related papers
Combinatorics of hyperplane arrangements and Witten zeta function at the origin
Kam Cheong Au, Kazuhiro Onodera
Proof of the Pach-Tardos conjecture
Lior Gishboliner, Xiangyu Li
Longest cycles intersect linearly in highly connected graphs
Jie Ma, Bo Ning, Ziyuan Zhao
Cutting a convex body into fat parts and approximating Euclidean distance by graph distances
János Pach, Gábor Tardos
A counterexample to the quantum Hedetniemi conjecture
Julius A. Zeiss
Schrijver-Delsarte rigidity in association schemes and undecidability of quantum graph homomorphism
Lorenzo Ciardo, Iris Hebbeker, Gideo Joubert et al.