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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
Special modules over Jordan algebras
Iryna Kashuba, Vera Serganova
In this paper we study special representations of finite-dimensional Jordan algebra whose . For each Jordan algebra of this class we consider its Tits-Kantor-Koe…
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…