4 papers
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…
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…
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…
Spectral reconstruction and representations of finitely generated groups
Michael Stessin
It is well-known that characters classify linear representations of finite groups, that is if characters of two representations of a finite group are the same, these representation…