Results 211 to 220 of about 858 (252)

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.
exaly   +2 more sources

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

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

Representations of Solvable Lie Groups

2020
The theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction of classical harmonic analysis, and as a tool for understanding various physical phenomena. Combining basic theory and new results, this monograph is a fresh and self-contained exposition of group representations ...
Didier Arnal, Bradley Currey
openaire   +3 more sources

Analysis of a Distinguished Laplacian on Solvable Lie Groups

Mathematische Nachrichten, 1993
AbstractWe study a class of kernels associated to functions of a distinguished Laplacian on the solvable group AN occurring in the Iwasawa decomposition G = ANK of a noncompact semisimple Lie group G. We determine the maximal ideal space of a commutative subalgebra of L1, which contains the algebra generated by the heat kernel, and we prove that the ...
MAUCERI, GIANCARLO, GIULINI, SAVERIO
openaire   +4 more sources

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