3 papers
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.RT2025
Segal-Sugawara vectors for orthosymplectic Lie superalgebras
Alexander Molev, Madeline Nurcombe
We consider the centre of the affine vertex algebra at the critical level associated with the orthosymplectic Lie superalgebra. It is well-known that the centre is a commutative su…
math.RT2024
Presentations for the ghost algebra and the label algebra
Madeline Nurcombe
The ghost algebra is a two-boundary extension of the Temperley-Lieb algebra, constructed recently via a diagrammatic presentation. The existing two-boundary Temperley-Lieb algebra…