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Functional Analysis and Its Applications
Article . 1987 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
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zbMATH Open
Article . 1987
Data sources: zbMATH Open
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Extremal cocycles of weyl groups

Extremal cocycles of Weyl groups
Authors: ZHELOBENKO D.P.;

Extremal cocycles of weyl groups

Abstract

In almost all problems in the representation theory of reductive Lie algebras one meets extremal equations (that is, equations in the ``highest vector''). In this article we consider extremal equations in a wide class of modules similar to the ``universal modules'' of Verma. A wider program of the study of such equations and related objects (Mickelsson algebras, Verma modules, etc.) has been given earlier by the author. The results of the present article were reported briefly in [Funct. Anal. Appl. 19, 325-327 (1985); translation from Funkts. Anal. Prilozh. 19, No.4, 88-89 (1985; Zbl 0593.17007)].

Country
Russian Federation
Related Organizations
Keywords

complex Lie algebra, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), extremal projections, extremal equations, enveloping algebra, Verma modules, root system, reductive Lie algebras, Universal enveloping (super)algebras, Simple, semisimple, reductive (super)algebras

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
17
Average
Top 10%
Average
Green