Algebra and Operator Theory
Proceedings of the Colloquium in Tashkent, 1997
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10 Result(s)
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Book
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Book
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Chapter
Variety of Nilpotent Lie Algebras
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...
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Chapter
Applications to Differential Geometry: The Nilmanifolds
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 ...
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Chapter
Cohomology of Lie Algebras
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...
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Chapter
Characteristically Nilpotent Lie Algebras
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...
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Chapter
Some Classes of Nilpotent Lie Algebras
This chapter is devoted to some important classes of nilpotent Lie algebras. We also consider the problem of classification for the small dimensions.
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Chapter
Cohomology of Some Nilpotent Lie Algebras
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...
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Chapter
Lie Algebras. Generalities
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...
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Chapter
The Algebraic Variety of the Laws of Lie Algebras
A tensor of type (2,1) on ℂn is a bilinear map** % MathType!MTEF!2!1!+- % feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCH...
