Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 77. Chapters: Lie algebra, Dynkin diagram, Capelli's identity, Root system, Glossary of Lie algebras, Group of Lie type, Vertex operator algebra, Littelmann path model, Weight, Table of Lie groups, N = 2 superconformal algebra, Knizhnik-Zamolodchikov equations, Bianchi classification, Virasoro algebra, Weyl group, Poincar -Birkhoff-Witt theorem, Kac-Moody algebra, Universal enveloping algebra, Lie superalgebra, Simple Lie group, Graded Lie algebra, Affine Lie algebra, Particle physics and representation theory, Cartan matrix, Super-Poincar algebra, Moufang polygon, Casimir invariant, Generalized Kac-Moody algebra, Lie algebroid, Killing form, Cartan subalgebra, Real form, Lie-Kolchin theorem, Cartan's criterion, Super Virasoro algebra, Nilpotent orbit, Lie algebra cohomology, Lie coalgebra, Valya algebra, Sl2-triple, (B, N) pair, Engel theorem, List of Lie group topics, Nijenhuis-Richardson bracket, R-algebroid, Jacobi identity, Whitehead product, Solvmanifold, Algebraic character, Pre-Lie algebra, Levi decomposition, Root system of a semi-simple Lie algebra, Special linear Lie algebra, Lie conformal algebra, Lie bialgebra, Leibniz algebra, Harish-Chandra homomorphism, Quadratic Lie algebra, Monster Lie algebra, Restricted Lie algebra, Kantor-Koecher-Tits construction, Adjoint bundle, Lie ring, N = 1 supersymmetry algebra in 1 + 1 dimensions, Ado's theorem, Loop algebra, Quasi-Frobenius Lie algebra, Witt algebra, Toda field theory, Parabolic Lie algebra, Malcev Lie algebra, Index of a Lie algebra, Satake diagram, Nilradical of a Lie algebra, Engel group, Malcev algebra, Modular Lie algebra, Lie's third theorem, Orthogonal symmetric Lie algebra, Nilpotent cone, Coset construction, Chevalley basis, Ringel-Hall algebra, Current algebra, Quasi-Lie algebra. Excerpt: In the mathematical field of Lie theory, a Dynkin diagram is a type ...Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.

Title | : | Lie Algebras: Lie Algebra, Dynkin Diagram, Capelli's Identity, Root System, Glossary of Lie Algebras, Group of Lie Type |

Author | : | Source Wikipedia, Books Llc |

Publisher | : | Books LLC, Wiki Series - 2010-09 |

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