Irreducible Constituents of Graded Modules for Graded Contact Lie Algebras of Cartan Type

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Abstract

This work is a continuation of the paper [5]. In this pa- per we decompose those nontruncatable uPTG K’-modules 2J(n, m) with their base spaces V being of the exceptional weights [Formula omitted] and realize their irreducible PTC K-modules in Ωi, Finally, we explicitly describe the structure of the graded K-module Ωiand estimate the dimensions of the irreducible PTG K(n, m)-modules M(λi, i) (0 < i < r) and M(λr, r+2).

Original languageEnglish
Pages (from-to)5951-5971
Number of pages21
JournalCommunications in Algebra
Volume22
Issue number14
DOIs
StatePublished - Jan 1994
Externally publishedYes

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