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math.RT2018
PBW degenerations of Lie superalgebras and their typical representations
Ghislain Fourier, Deniz Kus
We introduce the PBW degeneration for basic classical Lie superalgebras and construct for all type I, and exceptional Lie superalgebras new monomial bases. T…
math.RT2018
Degenerate Schubert Varieties in Type A
Rocco Chirivi', Xin Fang, Ghislain Fourier
We introduce rectangular elements in the symmetric group. In the framework of PBW degenerations, we show that in type A the degenerate Schubert variety associated to a rectangular…