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- W2372962289 abstract "In this paper,we introduce the definition of so called standard Kac-Moody algebra by usingg(A)-module,and prove that Serre relation is the defining relation of any standard Kac-Moody algebra g(A)(see Th.2).Furthermore,it has been proved that g(A) is standard if and only if any integrable highest weight module of g(A) is irreducible(see Th.3).Then it follows directly that the integrable module of a standard Kac-Moody algebra,which belongs to category O,is completely reducible(see Th.5).Also we proved that any proper subalgebra g(A_1) of a standard Kac-Moody algebra g(A) is standard,where A_1 is any principle submatrix of A(see Th.6)." @default.
- W2372962289 created "2016-06-24" @default.
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- W2372962289 date "2010-01-01" @default.
- W2372962289 modified "2023-09-26" @default.
- W2372962289 title "The Standard Kac-Moody Algebra and Completely Reducible of Integrable Module" @default.
- W2372962289 hasPublicationYear "2010" @default.
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