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A symmetry of order two in the full Kostant-Toda lattice

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Publication:1295942
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DOI10.1006/jabr.1998.7764zbMath1067.37503OpenAlexW1997064848MaRDI QIDQ1295942

Barbara A. Shipman

Publication date: 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7764


Mathematics Subject Classification ID

Applications of Lie algebras and superalgebras to integrable systems (17B80)


Related Items

The geometry of the full Kostant-Toda lattice of \(sl (4, \mathbb{C})\), ON THE FIXED-POINT SETS OF TORUS ACTIONS ON FLAG MANIFOLDS, Fifty years of the finite nonperiodic Toda lattice: a geometric and topological viewpoint



Cites Work

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  • On Whittaker vectors and representation theory
  • The toda flow on a generic orbit is integrable
  • Convexity and Commuting Hamiltonians
  • Finitely many mass points on the line under the influence of an exponential potential -- an integrable system
  • The Toda lattice. II. Existence of integrals
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