Some Remarks on the Characters of the General Lie Superalgebra
نویسنده
چکیده
Berele and Regev [1] defined the ring of hook Schur functions and showed that these functions are the characters of the general Lie superalgebra. Since the introduction of the hook Schur functions they have been extensively studied with respect to their combinatorial properties [2], [3], [4]. We compute the Hilbert series of this ring by giving a generating function for the partitions which fit inside of a (k, l)-hook. Besides its interest as a purely combinatorial result, this formula should have applications to discovering algebraic properties of the ring of hook Schur functions.
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