Orthogonal and Symplectic Quantum Matrix Algebras and Cayley-Hamilton Theorem for them

Simple item page
dc.creatorOgievetsky, Oleg
dc.creatorPyatov, Pavel
dc.date2005-11-25
dc.date.accessioned2026-07-07T06:51:43Z
dc.date.available2026-07-07T06:51:43Z
dc.descriptionFor families of orthogonal and symplectic types quantum matrix (QM-) algebras, we derive corresponding versions of the Cayley-Hamilton theorem. For a wider family of Birman-Murakami-Wenzl type QM-algebras, we investigate a structure of its characteristic subalgebra (the subalgebra in which the coefficients of characteristic polynomials take values). We define 3 sets of generating elements of the characteristic subalgebra and derive recursive Newton and Wronski relations between them. For the family of the orthogonal type QM-algebras, additional reciprocal relations for the generators of the characteristic subalgebra are obtained.
dc.description69 pages
dc.identifierhttps://arxiv.org/abs/math/0511618
dc.identifierhttp://arxiv.org/abs/math/0511618
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105078
dc.subjectQuantum Algebra
dc.titleOrthogonal and Symplectic Quantum Matrix Algebras and Cayley-Hamilton Theorem for them
dc.typetext

Files

Collections

arXiv