Quasi-finite modules for lie superalgebras of infinite rank

Ngau Lam, R. B. Zhang

研究成果: Article同行評審

7 引文 斯高帕斯(Scopus)

摘要

We classify the quasi-finite irreducible highest weight modules over the infinite rank Lie superalgebras down curve signgl∞|∞, down curve sign̂ and D̂, and determine the necessary and sufficient conditions for such modules to be unitarizable. The unitarizable irreducible modules are constructed in terms of Fock spaces of free quantum fields, and explicit formulae for their formal characters are also obtained by investigating Howe dualities between the infinite rank Lie superalgebras and classical Lie groups.

原文English
頁(從 - 到)403-439
頁數37
期刊Transactions of the American Mathematical Society
358
發行號1
DOIs
出版狀態Published - 2006 一月

All Science Journal Classification (ASJC) codes

  • 數學(全部)
  • 應用數學

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