Orthogonal and Symplectic Quantum Matrix Algebras and Cayley-Hamilton Theorem for them
نویسندگان
چکیده
For families of orthogonal and symplectic types quantum matrix (QM-) algebras, we derive corresponding versions of the Cayley-Hamilton theorem. For a wider family of BirmanMurakami-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 QMalgebras, additional reciprocal relations for the generators of the characteristic subalgebra are obtained. [email protected] [email protected]
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