Results 201 to 210 of about 882 (253)

Fractional shot noise of an SU(<i>N</i>) Kondo system. [PDF]

open access: yesBeilstein J Nanotechnol
Krychowski D, Lipiński S.
europepmc   +1 more source
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Lie Solvable Group Rings

Canadian Journal of Mathematics, 1973
Let K[G] denote the group ring of G over the field K. One of the interesting problems which arises in the study of such rings is to find precisely when they satisfy polynomial identities. This has been solved for char K = 0 in [1] and for char K = p > 0 in [3]. The answer is as follows.
Passi, I. B. S.   +2 more
openaire   +2 more sources

On solvable Lie groups of negative Ricci curvature [PDF]

open access: yesMathematische Zeitschrift, 2015
We consider the question of whether a given solvable Lie group admits a left-invariant metric of strictly negative Ricci curvature. We give necessary and sufficient conditions of the existence of such a metric for the Lie groups the nilradical of whose Lie algebra is either abelian or Heisenberg or standard filiform, and discuss some open questions.
Yury Nikolayevsky, Yury Nikonorov
exaly   +4 more sources

Semigroups in Lattices of Solvable Lie Groups

Journal of Lie Theory, 1995
Summary: Let \(G\) be a solvable Lie group, \(\Gamma \subset G\) a lattice and \(S\subset \Gamma\) a semigroup. It is proved that \(S\) is a group provided it is not contained in a semigroup with non-empty interior of \(G\) and \(\Gamma\) satisfies a condition which is described by means of the complex weights of the adjoint representation of the Lie ...
do Rocio, Osvaldo Germano   +1 more
openaire   +2 more sources

On Surjectivity of the Power Maps of Solvable Lie Groups

open access: yesJournal of Algebra, 2002
Let \(G\) be a connected solvable Lie group. The author finds conditions under which the power map \(P_n: G\to G\), \(P_ng=g^n\), is surjective. The most detailed results are obtained for the case where \(G\) is a semi-direct product of a compact torus and a simply connected solvable exponential group. If \(G\) is simply connected, the surjectivity of \
exaly   +2 more sources

On the Surjectivity of the Exponential Function of Solvable Lie Groups

Mathematische Nachrichten, 1998
AbstractFor a solvable Lie group G the surjectivity of the exponential function expG is equivalent to the connectedness of the near‐Cartan subgroups and to the connectedness of the centralizers in a Cartan subgroup of all nilpotent elements in its Lie algebra g.
Michael Wüstner
exaly   +2 more sources

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