Aba Mbirika

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The Springer variety is the set of flags stabilized by a nilpotent operator. In 1976, T.A. Springer observed that this variety’s cohomology ring carries a symmetric group action, and he offered a deep geometric construction of this action. Sixteen years later, Garsia and Procesi made Springer’s work more transparent and accessible by presenting the(More)
The Springer variety SX is defined to be the set of flags stabilized by a nilpotent operator X. Springer varieties can be generalized to a two-parameter family of varieties called Hessenberg varieties H(X, h), defined by a nilpotent operator X and a certain step function h (or equivalently, a Dyck path). In 1992, Garsia-Procesi gave a presentation of the(More)
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