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Characteristic polynomials for quantum matrices

  • A. Isaev
  • O. Ogievetsky
  • P. Pyatov
  • P. Saponov
Quantum Field Theory And Quantum Groups
Part of the Lecture Notes in Physics book series (LNP, volume 524)

Abstract

A quantum version of the Cayley-Hamilton theorem is found for the matrix T of the generators of the RTT-algebra. In the quasitriangular case, a connection between the characteristic identities in the RTT and RE-algebras is established.

Keywords

Hopf Algebra Characteristic Polynomial Quantum Analog Quantum Matrix Matrix Power 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • A. Isaev
    • 1
  • O. Ogievetsky
    • 2
    • 3
  • P. Pyatov
    • 1
  • P. Saponov
    • 4
  1. 1.Bogoliubov Laboratory of Theoretical Physics, JINRDubna Moscow Reg.Russia
  2. 2.Center of Theoretical Physics, LuminyMarseilleFrance
  3. 3.Theoretical DepartmentP. N. Lebedev Physical InstituteMoscowRussia
  4. 4.Theory Department, IHEPProtvino, Moscow regionRussia

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