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math.RT2025
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…
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.RT2025
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…