89 citations · 304 across the 32 of their papers we have counts for
20 papers · 1 filter
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…
Universal Capelli identities and quantum immanants for the queer Lie superalgebra
Iryna Kashuba, Alexander Molev
We apply the recently introduced idempotents for the Sergeev superalgebra to construct quantum immanants for the queer Lie superalgebra as central elements of its…
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…
On the Jucys-Murphy method and fusion procedure for the Sergeev superalgebra
Iryna Kashuba, Alexander Molev, Vera Serganova
We use the Jucys-Murphy elements to construct a complete set of primitive idempotents for the Sergeev superalgebra . We produce seminormal forms for the simple modu…
Representations of the super-Yangian of type
A. I. Molev
We consider the classification problem for finite-dimensional irreducible representations of the Yangians associated with the orthosymplectic Lie superalgebras ${\frak{osp}}_{2n|2m…
Representations of the super-Yangian of type
Alexander Molev, Eric Ragoucy
We are concerned with finite-dimensional irreducible representations of the Yangians associated with the orthosymplectic Lie superalgebras . Every such repre…