Symes, W. W. Addendum to: Systems to Toda type, inverse spectral problems, and representation theory. (English) Zbl 0484.58018 Invent. Math. 63, 519 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) 53D50 Geometric quantization 70H05 Hamilton’s equations 58C40 Spectral theory; eigenvalue problems on manifolds 58J50 Spectral problems; spectral geometry; scattering theory on manifolds Keywords:Poisson bracket in the sense of Kirillov-Kostant; Hamiltonian vector fields; completely integrable systems of Toda type and their inverse spectral problem; smooth functions on the dual Lie algebra Citations:Zbl 0474.58009 PDFBibTeX XMLCite \textit{W. W. Symes}, Invent. Math. 63, 519 (1981; Zbl 0484.58018) Full Text: DOI EuDML References: [1] Reyman, A.G., Semenov-Tian-Shansky, M.A., Frenkel I.B.: Sov. Math. Doklady247 (1979), 802-805 (Russian)=Sov Math. (Doklady)20 (4) (1979) [2] Reyman, A.G., Semenov-Tian-Shansky, M.A.: Invent. Math.54, 81-100 (1979) · Zbl 0415.58012 · doi:10.1007/BF01391179 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.