Super tableaux and a branching rule for the general linear Lie superalgebra
Clark, Sean · Peng, Yung-Ning · Thamrongpairoj, Sittipong
Original · EN
In this note, we formulate and prove branching rules of simple polynomial modules for the Lie superalgebra gl(m|n). Our branching rules depend on the conjugacy class of the Borel subalgebra. A Gelfand-Tsetlin basis of a polynomial module associated to each Borel subalgebra is obtained in terms of generalized semistandard tableaux.
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