Constructing irreducible integrable modules for extended baby TKK algebra

Constructing irreducible integrable modules for extended baby TKK algebra

In this paper, we give explicit realizations for the irreducible integrable modules, which were clas-sified in Chang and Tan [Pacific J Math, 2011, 252： 293–312], of the extended baby TKK algebra. Moreover, conditions for these modules to be unitary are determined.

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Veröffentlicht in:Science China. Mathematics 2012-12, Vol.55 (12), p.2417-2432
Hauptverfasser: Chang, XueWu, Chen, FuLin, Tan, ShaoBin
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Applications of Mathematics
Astronomy
Babies
China
Construction
K代数
Mathematical analysis
Mathematics
Mathematics and Statistics
Modules
Series (mathematics)
太平洋
数学
模块
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Zusammenfassung:In this paper, we give explicit realizations for the irreducible integrable modules, which were clas-sified in Chang and Tan [Pacific J Math, 2011, 252： 293–312], of the extended baby TKK algebra. Moreover, conditions for these modules to be unitary are determined.
ISSN:1674-7283
1006-9283
1869-1862
DOI:10.1007/s11425-012-4468-x