We study the effect of restriction to Levi subgroups, induction from Levi subgroups, and tensor product, on unitary representations of GL(n) over a local field k. These results give partial answers to questions raised by

Local conditions on boundaries of C ∞ Levi-flat hypersurfaces, in case the boundary is a generic submanifold, are studied. For nontrivial real analytic boundaries we get an extension and uniqueness result, which forces the hypersurface to be real analytic. This allows us to classify all real analytic generic boundaries of Levi-flat hypersurfaces in terms of their normal coordinates. For the rem...

This note presents purely mechanical proofs of the Levi commutator problem in group theory. The problem was solved first by using the theorem prover EQP, developed by William McCune at the Argonne National Laboratory. The fastest proof was found by using Peers-mcd, the Clause-Diffusion parallelization of EQP, developed by the author at the University of Iowa. 1 The Levi commutator problem The L...

Local conditions on boundaries of C ∞ Levi-flat hypersurfaces, in case the boundary is a generic submanifold, are studied. For nontrivial real analytic boundaries we get an extension and uniqueness result, which forces the hypersurface to be real analytic. This allows us to classify all real analytic generic boundaries of Levi-flat hypersurfaces in terms of their normal coordinates. For the rem...

Most students of mathematics encounter the name of the Italian mathematician Beppo Levi in integration theory when they learn "Beppo Levi's Lemma" on integrals of monotone sequences of functions. The attribution of this result is historically correct, but it by no means exhausts Beppo Levi's mathematical accomplishments. Between 1897 and 1909, Beppo Levi (1875-1961) actively participated in all...

La publicación de la obra del destacado historiador italiano es un verdadero acierto editorial, entre otras razones porque Giovanni Levi ha sido ante todo escritor artículos revista, siempre producto investigaciones apoyadas en una cuidadosa consulta archivo, pero no autor libros, género que solo se le conocen dos: Centro e periferia di uno stato assoluto. Tre saggi su Piemonte Liguria in età m...

In this paper Viktor Hamburger [5] and Rita Levi-Montalcini [6] collaborated to examine the effects of limb transplantation [7] and explantation on neural development [8]. In 1947 Hamburger invited Levi-Montalcini to his lab at Washington University [9] in St. Louis to examine this question. Independently, each had previously arrived at opposing conclusions based on the same data. Hamburger con...

The araneid spider genus Alpaida O.P.-Cambridge, 1889 has, until now, 148 described species (WSC 2015). The males of A. nigrofrenata (Simon, 1895), A. machala Levi, 1988, and A. cisneros Levi, 1988 are described here for the first time. A. moka Levi, 1988, based on female specimens, is synonymized with A. xavantina Levi, 1988, based on the study of specimens of both sexes. I.L.F. de Magalhães (...

Cet essai examine la présence et valeur du mot «ciel» dans certaines des œuvres majeures de Primo Levi. En tournant son regard vers le ciel, Levi s’interroge sur l’origine mal réfléchit au sort déportés, également à travers souvenir d’un célèbre passage Divine Comédie Dante qui a pour protagoniste Ulysse. Le ciel devient ainsi, l’œuvre Levi, l’emblème d’une tension continue besoin comprendre le...