Электронный каталог

Статья

Ogievetsky, O.
Cayley–Hamilton Theorem for Orthogonal Quantum Matrix Algebras / O.Ogievetsky, P.Pyatov. – Text : electronic // Journal of Geometry and Physics. – 2026. – Vol. 224. – P. 105798. – URL: https://doi.org/10.1016/j.geomphys.2026.105798. – Bibliogr.: 48.

For a family of the orthogonal O(k) type Quantum Matrix algebras we establish an analogue of the Cayley–Hamilton theorem. The form of the Cayley-Hamilton identity is different in three cases. First, the cases of odd (k = 2l − 1) and even (k = 2ℓl) heights are different. Second, for even height orthogonal Quantum Matrix algebra we derive two versions of the Cayley–Hamilton theorem, one for its positive component O +(2l) and another one for the negative component O −(2l). In each case we introduce the spectral parameterization of the coefficients of the Cayley–Hamilton identity by the ‘eigenvalues’ of the quantum matrices



Спец.(статьи,препринты) = С 323 б - Квантовые алгебры. Суперсимметричная квантовая механика. Парастатистики . Анионы. Прочие схемы квантования
ОИЯИ = ОИЯИ (JINR)2026