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math.RT2026
Harish-Chandra images of orthosymplectic Sugawara operators and Casimir elements
Alexander Molev, Madeline Nurcombe, Eric Ragoucy
We consider the recently constructed Segal--Sugawara vectors for the orthosymplectic Lie superalgebras. We calculate their images with respect to the Harish-Chandra homomorphism an…
math.QA2026
Central elements and evaluation map for the quantum queer superalgebras
Ming Liu, Alexander Molev, Jian Zhang
We consider the -matrix presentations of the quantum queer superalgebra and its affine counterpart . We derive crossing symmetry relations for the…