Cayley-Hamilton theorem for quantum matrix algebras of GL(m|n) type

Abstract

The classical Cayley-Hamilton identities are generalized to quantum matrix algebras of the GL(m|n) type.

To be published in Algebra i Analiz, vol. 17, 2005. A reference to a grant number is added

References in corpus (3)

• Cayley-Hamilton-Newton identities and quasitriangular Hopf algebras
• Quantum line bundles on noncommutative sphere
• Gauss Decomposition for Quantum Groups and Supergroups

Cited by in corpus (9)

• Spectral extension of the quantum group cotangent bundle
• Braided Weyl algebras and differential calculus on U(u(2))
• Orthogonal and Symplectic Quantum Matrix Algebras and Cayley-Hamilton Theorem for them
• The GL(m|n) type quantum matrix algebras II: the structure of the characteristic subalgebra and its spectral parameterization
• Generic super-orbits in gl(m|n)* and their braided counterparts
• Quantum geometry and quantization on U(u(2)) background. Noncommutative Dirac monopole
• Cayley-Hamilton Theorem for Symplectic Quantum Matrix Algebras
• The Dzhumadildaev brackets: a hidden supersymmetry of commutators and the Amitsur-Levitzki-type identities
• N-homogeneous superalgebras