Universal matrix Capelli identity

2024/11/20 by М. В. Зайцев, Zaitsev, Mikhail · 2 citations
Computer Science · #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.2411.13178

Abstract

We propose a universal matrix Capelli identity and explain how to derive Capelli identities for all quantum immanants in the Reflection Equation algebra and in the universal enveloping algebra U(gl_(M|N)).

Cited by

• Universal Capelli identities and quantum immanants for the queer Lie superalgebra
• Reciprocal relations for orthogonal quantum matrices

Related

• Wick theorem and matrix Capelli identity for quantum differential operators on Reflection Equation Algebras
• Universal Capelli identities and quantum immanants for the queer Lie superalgebra
• The Capelli eigenvalue problem for quantum groups
• General Capelli-type identities
• Extensions of the tensor algebra and their applications