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Super tableaux and a branching rule for the general linear Lie superalgebra (1301.0174v2)
Published 2 Jan 2013 in math.RT and math.CO
Abstract: In this note, we formulate and prove branching rules of simple polynomial modules for the Lie superalgebra $\mathfrak{gl}(m|n)$. 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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