Super tableaux and a branching rule for the general linear Lie superalgebra

Sean Clark, Yung Ning Peng, S. Kuang Thamrongpairoj

研究成果: 雜誌貢獻期刊論文同行評審

7 引文 斯高帕斯(Scopus)

摘要

In this note, we formulate and prove a branching rule for simple polynomial modules of the Lie superalgebra (Formula presented.). Our branching rules depend on the conjugacy class of a Borel subalgebra. A Gelfand–Tsetlin basis of a polynomial module associated to each Borel subalgebra is obtained in terms of generalized semistandard tableaux.

原文???core.languages.en_GB???
頁(從 - 到)274-282
頁數9
期刊Linear and Multilinear Algebra
63
發行號2
DOIs
出版狀態已出版 - 1 2月 2015

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