How often do you cheat? Dispositional influences and intrapersonal stability of dishonest behavior. [PDF]
Leisge K, Kaczmarek C, Schaefer S.
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Fractional shot noise of an SU(<i>N</i>) Kondo system. [PDF]
Krychowski D, Lipiński S.
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A study of traveling wave solutions and modulation instability in the (3+1)-dimensional Sakovich equation employing advanced analytical techniques. [PDF]
Ahmad J +5 more
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Input-driven circuit reconfiguration in critical recurrent neural networks. [PDF]
Magnasco MO.
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Human-Edited Generative AI-Assisted Multiple-Choice Questions in Postgraduate Family Medicine: Blinded Cross-Sectional Comparative Psychometric Study. [PDF]
Sze KP +9 more
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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
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On solvable Lie groups of negative Ricci curvature [PDF]
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
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Semigroups in Lattices of Solvable Lie Groups
Journal of Lie Theory, 1995Summary: 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
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On Surjectivity of the Power Maps of Solvable Lie Groups
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 \
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On the Surjectivity of the Exponential Function of Solvable Lie Groups
Mathematische Nachrichten, 1998AbstractFor 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
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