High Quality Content by WIKIPEDIA articles! In mathematics, a unipotent element r of a ring R is one such that r ? 1 is a nilpotent element, in other words such that some power (r ? 1)n is zero. In particular a square matrix M is a unipotent matrix if and only if its characteristic polynomial P(t) is a power of t ? 1. Equivalently, M is unipotent if all its eigenvalues are 1. The term quasi-unipotent means that some power is unipotent, for example for a diagonalizable matrix with eigenvalues that are all roots of unity. A unipotent algebraic group is one all of whose elements are unipotent.

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