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Nilpotent groups and lie algebras

✍ Scribed by K. K. Andreev

Publisher
Springer US
Year
1968
Tongue
English
Weight
386 KB
Volume
7
Category
Article
ISSN
0002-5232

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📜 SIMILAR VOLUMES

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Let U be a unitary irreducible locally faithful representation of a nilpotent Lie group G, ~ the universal enveloping algebra of G, M a simple module on o//with kernel Ker dU, then there exists an automorphism of q/keeping ker dU invariant such that, after transport of structure, M is isomorphic to

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By using trace formulae, the recent concept of upper multiplicity for an irreducible representation of a C\*-algebra is linked to the earlier notion of strength of convergence in the dual of a nilpotent Lie group G. In particular, it is shown that if ? # G has finite upper multiplicity then this int

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We describe the upper and lower Lie nilpotency index of a modular group algebra ‫ކ‬G of some metabelian group G and apply these results to determine the nilpotency class of the group of units, extending certain results of Shalev without restriction to finite groups. A characterization of modular gro

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Let G 4 be the unique, connected, simply connected, four-dimensional, nilpotent Lie group. In this paper, the discrete cocompact subgroups H of G 4 are classified and shown to be in 1-1 correspondence with triples p 1 p 2 p 3 ∈ 3 that satisfy p 2 p 3 > 0 and a certain restriction on p 1 . The K-grou