منابع مشابه
Classification of Invariant Cones in Lie Algebras
We shall describe invariant cones in Lie algebras completely. For simple Lie algebras see [KR82, 0181, Pa84, and Vi80]. Some observations are simple: If W is an invariant cone in a Lie algebra g, then the edge e = W Pi — W and the span W — W are ideals. Therefore, if one aims for a theory without restriction on the algebra g it is no serious loss of generality to assume that W is generating, th...
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The reduction of smooth dynamical systems to lower dimensional center manifolds containing the essential bifurcation dynamics is a very useful approach both for theoretical investigations as well as for numerical computation. Since this approach relies on smoothness properties of the system and on the existence of a basic linearization the question arises if this approach can be carried over to...
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In this paper, based on algebraic arguments, a new proof of the spectral characterization of those real matrices that leave a proper polyhedral cone invariant [Trans. Amer. Math. Soc., 343 (1994), pp. 479–524] is given. The proof is a constructive one, as it allows us to explicitly obtain for every matrix A, which satisfies the aforementioned spectral requirements, an A-invariant proper polyhed...
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Introduction. Originally, the phrase harmonic analysis had a function-theoretic meaning, referring to the decomposition of a function into exponentials. In the current interpretation, particularly in connection with noncommutative groups, the term refers not to functions but to representations, and harmonic analysis is regarded as part of the theory of group representations. This shift in inter...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1991
ISSN: 0024-3795
DOI: 10.1016/0024-3795(91)90161-o