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» On an Isospectral Lie-Poisson System and Its Lie Algebra
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FOCM
2006
63views more  FOCM 2006»
15 years 11 days ago
On an Isospectral Lie-Poisson System and Its Lie Algebra
In this paper we analyse the matrix differential system X = [N, X2 ], where N is skew-symmetric and X(0) is symmetric. We prove that it is isospectral and that it is endowed with ...
Anthony M. Bloch, Arieh Iserles
95
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IJAC
2002
128views more  IJAC 2002»
15 years 4 days ago
Computational Complexity of Generators and Nongenerators in Algebra
Abstract. We discuss the computational complexity of several problems concerning subsets of an algebraic structure that generate the structure. We show that the problem of determin...
Clifford Bergman, Giora Slutzki
103
Voted
SCHOLARPEDIA
2008
122views more  SCHOLARPEDIA 2008»
14 years 10 months ago
Calogero-Moser system
ABSTRACT. We discuss a special eigenstate of the quantized periodic CalogeroMoser system associated to a root system. This state has the property that its eigenfunctions, when rega...
Francesco Calogero
90
Voted
CDC
2008
IEEE
117views Control Systems» more  CDC 2008»
15 years 6 months ago
A hopf-algebraic formula for compositions of noncommuting flows
Abstract— The Chen-Fliess series is known to be an exponential Lie series. Previously explicit formulas for the iterated integral coefficients were known only for its factorizat...
Eric Gehrig, Matthias Kawski
103
Voted
LISP
2002
107views more  LISP 2002»
15 years 1 days ago
Dependent Types for Program Termination Verification
Program termination verification is a challenging research subject of significant practical importance. While there is already a rich body of literature on this subject, it is sti...
Hongwei Xi