TY - JOUR AB - In various contexts, several mathematicians have discovered a binomial theorem of the following form: Let T1,T2 be complex matrices such that T2T1 = qT1T2. Then (T1 + T2)n = SIGMA(k = 0)n alpha(n,k)(q)T1(k)T2n-k and the polynomials alpha(n,k)(q) are given explicitly. We describe an application of this result in our work on matrices whose eigenvalues have certain symmetries. DA - 1993 DO - 10.1016/0019-3577(93)90047-3 LA - eng IS - 1 M2 - 11 PY - 1993 SN - 0019-3577 SP - 11-16 T2 - Indagationes mathematicae TI - The q-binomial theorem and spectral symmetry UR - https://nbn-resolving.org/urn:nbn:de:0070-pub-17762228 Y2 - 2024-12-04T09:00:14 ER -