We study symplectic structures on characteristically nilpotent Lie algebras (CNLAs) by computing the cohomology space H(g, k) for certain Lie algebras g. Among these Lie algebras are filiform CNLAs of dimension n ≤ 14. It turns out that there are many examples of CNLAs which admit a symplectic structure. A generalization of a sympletic structure is an affine structure on a Lie algebra.

In "Functional MRI Lie Detection: Too Good to be True?" in this issue of The Journal, Joseph Simpson reviews the merits and the limitations of using fMRI to detect deception. After presenting the gaps in experimental data that stand in the way of translating the laboratory proof of concept to a field application, Simpson surveys the legal, regulatory and ethics concerns facing fMRI, should it e...

The tipping point framework of lie detection posits that people can, and do, accurately detect deception. This framework pinpoints three circumstances that aid accuracy: (i) using methods of measurement that circumvent controlled, conscious cognition; (ii) when individual differences or situational factors portend potent risks to lie detection failure, such as in high-stakes or threatening sett...

We introduce the notion of “local system of ZT -twisted vertex operators” on a Z2-graded vector space M , generalizing the notion of local system of vertex operators [Li]. First, we prove that any local system of ZT -twisted vertex operators on M has a vertex superalgebra structure with an automorphism σ of order T with M as a σ-twisted module. Then we prove that for a vertex (operator) superal...

Diagnostic systems of several kinds are used to distinguish between two classes of events, essentially "signals" and "noise". For them, analysis in terms of the "relative operating characteristic" of signal detection theory provides a precise and valid measure of diagnostic accuracy. It is the only measure available that is uninfluenced by decision biases and prior probabilities, and it places ...

55 words MAIN TEXT: 924 words REFERENCES: 103 words ENTIRE TEXT: 1100 words Reasoning as a lie detection device Jean-Louis Dessalles Telecom ParisTech 46 rue Barrault – F-75013 Paris – France Tel. +33145817529 [email protected] http://www.dessalles.fr

In the current study, we report on an experiment examining whether functional magnetic resonance imaging (fMRI) lie detection evidence would influence potential jurors' assessment of guilt in a criminal trial. Potential jurors (N = 330) read a vignette summarizing a trial, with some versions of the vignette including lie detection evidence indicating that the defendant was lying about having co...

Bei sl2C wurden Darstellungen mittels ihrer Zerlegung in Eigenräume bezüglich des diagonalisierbaren Generators H analysiert. Die korrekte Verallgemeinerung dieses Vorgehens, hier am Beispiel sl3C vorgeführt, erlaubt es, jede beliebige halbeinfache Lie-Algebra g zu analysieren. Um die Allgemeinheit der Konzepte zu unterstreichen, wird im folgenden häufig g statt sl3C geschrieben, explizite Rech...

M. O'Sullivan and P. Ekman (2004) claim to have discovered 29 wizards of deception detection. The present commentary offers a statistical critique of the evidence for this claim. Analyses reveal that chance can explain results that the authors attribute to wizardry. Thus, by the usual statistical logic of psychological research, O'Sullivan and Ekman's claims about wizardry are gratuitous. Even ...