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广义TKK代数的一类模结构

The Module Structure of the Extended TKK Lie Algebra
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摘要 设S是欧氏空间R″(υ≥1)中最小的非格半格,在一个Jordan代数T(S)的基础上,通过Tits-Kantor-Koecher方法可构造TKK李代数g(T(S)),研究该李代数的泛中心扩张广义TKK代数g(T(S)),的一类在群代数与对称代数上的不可约表示。 Let S be the smallest possible(nonlattice) semilattice in the Euclidean space R″(υ≥1).Form a Jordan algebra T(S),using the Tits-Kantor-Koecher construction,we obstain TKK algebra g(T(S)).In this paper we study an Irreducible representation with group algebra and symmetric algebra states for the extended TKK algebra g(T(S)).
作者 李鸿萍
出处 《莆田学院学报》 2012年第2期14-17,共4页 Journal of putian University
基金 中央高校基本科研业务费专项资金资助:华侨大学科研基金资助项目(10HZR24)
关键词 TKK代数 JORDAN代数 顶点算子表示 FOCK空间 不可约模 TKK algebra Jordan algebra vertex operator representation Fock space irreducible modules
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参考文献10

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二级参考文献41

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