Generalized Cayley-Hamilton-Newton identities

DOI10.1023/A:1021649021069zbMath0948.81013arXivmath/9809047MaRDI QIDQ1574938

N. Delaunay

Publication date: 14 August 2000

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9809047

zbMATH Keywords

matrix identitiesquantum matrix algebrasCayley-Hamilton-Newton identities

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (12)

Representation rings of quantum groups. ⋮ Spectral extension of the quantum group cotangent bundle ⋮ Quantum matrix algebras of BMW type: structure of the characteristic subalgebra ⋮ Rings of \(\mathbf h\)-deformed differential operators ⋮ Manin matrices for quadratic algebras ⋮ Highest-weight vectors for the adjoint action of \(\mathrm{GL}_n\) on polynomials. II ⋮ \(q\)-index on braided non-commutative spheres ⋮ Cayley-Hamilton theorem for symplectic quantum matrix algebras ⋮ Spectral parameterization for power sums of a quantum supermatrix ⋮ Algebraic properties of Manin matrices. II: \(q\)-analogues and integrable systems ⋮ Quantum matrix algebras of the \(\text{GL}(m|n)\) type: the structure and spectral parameterization of the characteristic subalgebra ⋮ A quantum homogeneous space of nilpotent matrices.

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