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unipotent
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Definitions of unipotent in various dictionaries:
Capable of developing into only one type of cell or tissue.
UNIPOTENT - In mathematics, a unipotent element r of a ring R is one such that r 1 is a nilpotent element; in other words, (r 1)n is zero for some n. In partic...
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Unipotent description |
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In mathematics, a unipotent element r of a ring R is one such that r 1 is a nilpotent element; in other words, (r 1)n is zero for some n. * 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. * In an unipotent affine algebraic group, all elements are unipotent (see below for the definition of an element being unipotent in such a group). |