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The traces of quantum powers commute

Quantum Algebra 2007-05-23 v1 Rings and Algebras

Abstract

The traces of the quantum powers of a generic quantum matrix pairwise commute. This was conjectured by Kaoru Ikeda, in connection with certain Hamiltonian systems. The proof involves Newton's formulae for quantum matrices, relating traces of quantum powers with sums of principal minors.

Cite

@article{arxiv.math/0302063,
  title  = {The traces of quantum powers commute},
  author = {M Domokos and T H Lenagan},
  journal= {arXiv preprint arXiv:math/0302063},
  year   = {2007}
}

Comments

6 pages

R2 v1 2026-07-22T16:51:45.965Z