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1 Lie nilpotency
Математика: нильпотентность Ли -
2 нильпотентность Ли
Mathematics: Lie nilpotencyУниверсальный русско-английский словарь > нильпотентность Ли
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Nilpotent Lie algebra — In mathematics, a Lie algebra is nilpotent if the lower central series becomes zero eventually. Equivalently, is nilpotent if … Wikipedia
Nilpotent group — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product … Wikipedia
P-group — In mathematics, given a prime number p , a p group is a periodic group in which each element has a power of p as its order. That is, for each element g of the group, there exists a nonnegative integer n such that g to the power pn is equal to the … Wikipedia
p-group — Not to be confused with n group. In mathematics, given a prime number p, a p group is a periodic group in which each element has a power of p as its order: each element is of prime power order. That is, for each element g of the group, there… … Wikipedia
Central series — In mathematics, especially in the fields of group theory and Lie theory, a central series is a kind of normal series of subgroups or Lie subalgebras, expressing the idea that the commutator is nearly trivial. For groups, this is an explicit… … Wikipedia
Engel theorem — In representation theory, Engel s theorem is one of the basic theorems in the theory of Lie algebras; it asserts that for a Lie algebra two concepts of nilpotency are identical. A useful form of the theorem says that if a Lie algebra L of… … Wikipedia
Jordan normal form — In linear algebra, a Jordan normal form (often called Jordan canonical form)[1] of a linear operator on a finite dimensional vector space is an upper triangular matrix of a particular form called Jordan matrix, representing the operator on some… … Wikipedia
Fitting subgroup — In mathematics, especially in the area of algebra known as group theory, the Fitting subgroup F of a finite group G , named after Hans Fitting, is the unique largest normal nilpotent subgroup of G . Intuitively, it represents the smallest… … Wikipedia