Algebra and Operator Theory
Proceedings of the Colloquium in Tashkent, 1997
Book
Book
Chapter
Let L n be the variety of n-dimensional complex Lie algebras (see Chapter 5). We denote by N p n the subset of L n constit...
Chapter
Of course, Lie algebras arise in a natural way in the study of transformation groups in differential geometry. But, nilpotent Lie algebras play an essential role in this field: they permit the construction of ...
Chapter
In the first chapter, we glanced at the notions of representations of Lie algebras and the corresponding notions of g-modules. Here we will study all those notions which can be utilized for the theories of coh...
Chapter
The definitions, the first properties, and some examples of characteristically nilpotent Lie algebras have been given in Chapter 2 (see Section III in this chapter). Here we study these algebras from a geometr...
Chapter
This chapter is devoted to some important classes of nilpotent Lie algebras. We also consider the problem of classification for the small dimensions.
Chapter
Today a few concrete results concerning cohomological calculations on nilpotent Lie algebras are revealed. In this chapter we present these calculations for some particular but nevertheless important classes o...
Chapter
The aim of this chapter is to recall some fundamental notions concerning finite-dimensional Lie algebras. We also present the principal classes of these algebras and mainly the more interesting classes of nilp...
Chapter
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