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math.RT2022
Evaluation birepresentations of affine type A Soergel bimodules
M. Mackaay, V. Miemietz, P. Vaz
In this paper, we use Soergel calculus to define a monoidal functor, called the evaluation functor, from extended affine type A Soergel bimodules to the homotopy category of bounde…
math.RT2022
Kostant's problem for fully commutative permutations
Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz
We give a complete combinatorial answer to Kostant's problem for simple highest weight modules indexed by fully commutative permutations. We also propose a reformulation of Kostant…