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math.RT2020
Hilbert series of typical representations for Lie superalgebras
Alexander Heaton, Songpon Sriwongsa
Let g be a basic classical Lie superalgebra over C. In the case of a typical weight whose every nonnegative integer multiple is also typical, we compute a closed form for the Hilbe…
math.RT2018
Branching from the General Linear Group to the Symmetric Group and the Principal Embedding
Alexander Heaton, Songpon Sriwongsa, Jeb F. Willenbring
Let S be a principally embedded sl_2 subalgebra in sl_n for n > 2. A special case of results of the third author and Gregg Zuckerman implies that there exists a positive integer b(…