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math.RT2024
Geometric Approach to Mirabolic Schur-Weyl Duality of Type A
Zhaobing Fan, Zhicheng Zhang, Haitao Ma
We commence by constructing the mirabolic quantum Schur algebra, utilizing the convolution algebra defined on the variety of triples of two -step partial flags and a vector. Sub…
math.RT2024
Highest weight modules over Borcherds-Bozec superalgebras and their character formula
Zhaobing Fan, Jiaqi Huang, Seok-Jin Kang +1
We present and prove the Weyl-Kac type character formula for the irreducible highest weight modules over Borcherds-Bozec superalgebras with dominant integral highest weights.