Can I read Honeycombs and sums of Hermitian matrices on EtoBox?

Honeycombs and sums of Hermitian matrices by Knutson, Allen; Tao, Terence is a scholarly article available to read on EtoBox.

What is Honeycombs and sums of Hermitian matrices about?

Horn's conjecture, which given the spectra of two Hermitian matrices describes the possible spectra of the sum, was recently settled in the affirmative. In this survey we discuss one of the many steps in this, which required us to introduce a combinatorial gadget called a {\em honeycomb}; the question is then reformulable as about the existence of honeycombs with certain boundary conditions. Another important tool is the connection to the representation theory of the group U(n), by ``classical vs. quantum'' analogies.

Author

Knutson, Allen; Tao, Terence

Published

2000

Language

EN