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Papers

 

 

 

 

 

 

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A Connection whose curvature is the Lie bracket (Kent E. Morrison)

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Lie Bracket and Curvature (Hans Samelson)

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A Theorem on Holonomy (W. Ambrose, I.M. Singer)

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The Lie bracket and the curvature tensor (Faber, Richard L.)

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Vector Fields and Nilpotent Lie Algebras (Matthew Grayson Robert Grossman)

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Corchete y Curvatura (Tony Di Scala)

bulletLectures Notes on Non-Holonomic Geometry (Malakhaltsev, Arteaga, version preliminar)
bulletCurvature of a distribution, (A.F.,Solov'ev)
bulletOn Curvature and Focal Points of dynamical Lagrangian Distribitions and their Reductions by First Integrals, (Agrachev A.A., et al.)
bulletThe Wagner Curvature Tensor in Nonholonomic Mechanics (V.Dragovic, B. Gajic)

Books

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Claudio Procesi, Lie Groups: An Approach through Invariants and Representations
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Front Matter

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Cap. 1: General Methods and Ideas

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Cap. 2: Symmetric Functions

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Cap. 3: Theory of Algebraic Forms

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Cap. 4: Lie Algebras and Lie Groups

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Cap. 5: Tensor Algebra

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Cap. 6: Semisimple Algebras

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Cap. 7: Algebraic Groups

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Cap. 8: Group Representations

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Cap. 9: Tensor Symmetry

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Cap. 10: Semisimple Lie Groups and Algebras

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Cap. 11: Invariants

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Cap. 12: Tableaux

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Cap. 13: Standard Monomials

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Cap. 14: Hilbert Theory

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Cap. 15: Binary Forms

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Back Matter

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Mark R. Sepanski, Compact Lie Groups
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Front matter

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Cap. 1: Compact Lie Groups

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Cap. 2: Repreentations

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Cap. 3: Harmonuic Analysis

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Cap. 4: Lie Algebras

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Cap. 5: Abelian Lie Subgroups and Structure

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Cap. 6: Roots and Associated Structures

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Cap. 7: Highest Weight Theory

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Back matter

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A.A. Agrachev
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Introduction to Optimal Control 

 

 

 

 

 

 

 

 

 

 

 

 

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