89 citations · 304 across the 32 of their papers we have counts for
32 papers
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…
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…
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…
Generalized finite and affine -algebras in type
Dong Jun Choi, Alexander Molev, Uhi Rinn Suh
We construct a new family of affine -algebras parameterized by partitions and associated with the centralizers of nilpotent elements in . The…