3 papers
math.RT2026
Reducibility of linear representations, free ideals, and Kippenhahn's conjecture
Michael Stessin, Rongwei Yang
This paper presents a comprehensive study of the characteristic polynomial of matrix tuples and finite dimensional group representations. Among other things, several key concepts a…
math.FA2026
Kippenhahn's Conjecture Revisited
Michael Stessin
In 1951 paper \cite{Ki} Kippenhahn conjectured that if the characteristic polynomial \ $P_A(x_1,x_2,x_3)=\mbox{det}(x_1A_1+x_2A_2-x_3I)$, \ where and are He…
math.FA2025
Spectral test of reducibility for Matrix tuples
Michael Stessin, Rongwei Yang
If a tuple of matrices has a common invariant subspace, its projective joint spectrum has an algebraic component. In general, the converse is not true, and there might be algebraic…