Results 131 to 140 of about 263 (173)

On the Converse of Pansu's Theorem. [PDF]

open access: yesArch Ration Mech Anal
De Philippis G   +4 more
europepmc   +1 more source

Subsemigroups of Nilpotent Lie Groups

Journal of Lie Theory, 2020
Summary: For a closed subsemigroup \(S\) of a simply connected nilpotent Lie group \(G\), we prove that either \(S\) is a subgroup, or there is an epimorphism \(f\) from \(G\) to the reals \(R\) such that \(f(s) \ge 0\) for all \(s\) of \(S\).
Abels, Herbert, Vinberg, Ernest B.
openaire   +3 more sources

Lie-Nilpotency Indices of Group Algebras

Bulletin of the London Mathematical Society, 1992
For an associative ring \(A\), define \(A^{[1]}\) to be \(A\) and \(A^{[n]}\) (\(n>1\)) to be the two-sided ideal of \(A\) that is generated by all \(n\)- fold Lie commutators \([a_ 1,[a_ 2,\dots,[a_{n-1},a_ n]\dots]]\) (\(a_ i\in A\)). \(A\) is called Lie-nilpotent if \(A^{[n]}=0\) for some \(n\), in which case the smallest such \(n\) is denoted \(t_ ...
Bhandari, Ashwani K., Passi, I. B. S.
openaire   +1 more source

Optimal Control on Nilpotent Lie Groups

Journal of Dynamical and Control Systems, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Monroy-Pérez, F., Anzaldo-Meneses, A.
openaire   +1 more source

Group algebras of torsion groups and Lie nilpotence

Journal of Group Theory, 2010
Let \(FG\) be a group algebra of a group \(G\) over a field \(F\) and * is an involution in \(FG\). Then the subset \(FG^-=\{x\in FG\mid x^*=-x\}\) is a Lie algebra. The main result of the paper (Theorem 1.1) is the following. Suppose that \(G\) is a torsion group with no elements of order 2, \(F\) is a field of characteristic \(p\neq 2\) and * is an ...
GIAMBRUNO, Antonino   +2 more
openaire   +3 more sources

GENERALIZED LIE NILPOTENT GROUP RINGS

Mathematics of the USSR-Sbornik, 1987
Translation from Mat. Sb., Nov. Ser. 129(171), No.1, 154-158 (Russian) (1986; Zbl 0601.16011).
Bovdi, A. A., Khripta, I. I.
openaire   +2 more sources

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