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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(…
math.RT2018
Graded multiplicity in harmonic polynomials from the Vinberg setting
Alexander Heaton
We consider Vinberg -groups associated to a cyclic quiver on nodes. Let be the product of general linear groups associated to the nodes, acting naturally on $V = \oplus…