Search Results - "Lie algebra"
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Lie algebras : theory and algorithms 1st ed.
Published: Elsevier, 2000Contents: “…Cartan subalgebras. Lie algebras with non-degenerate Killing form. The classification of the simple Lie algebras. …”Description: 1 online resource (xii, 393 pages).
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Lie algebras : finite and infinite dimensional Lie algebras and applications in physics
Published: North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1990Contents: “…Extensions of Lie algebras -- Explicit construction of affine Kac-Moody algebras -- Representations-nenveloping algebr a techniques -- The Weyl group and integrable representations -- More on representations -- Characters and multiplicities -- Quarks, leptons and gauge fields -- Lie algebras of infinite matrices -- Representations of loop algebras -- KP-hierarchies -- Conformal symmetry.…”Description: 1 online resource (2 volumes) : illustrations.
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3
Lie algebras First edition].
Published: Pergamon Press, 1975Contents: “…Front Cover; Lie Algebras; Copyright Page; Table of Contents; PREFACE; CHAPTER 1. …”Description: 1 online resource (vii, 230 pages).
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4
Lie algebras and applications
Published: Springer, 2006Contents: “…Basic Concepts -- Semisimple Lie Algebras -- Lie Groups -- Irreducible Bases (Representations) -- Casimir Operators and Their Eigenvalues -- Tensor Operators -- Boson Realizations -- Fermion Realizations -- Differential Realizations -- Matrix Realizations -- Spectrum Generating Algebras and Dynamic Symmetries -- Degeneracy Algebras and Dynamical Algebras.…”Description: 1 online resource (xiv, 196 pages) : illustrations.
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Introduction to Lie algebras
Published: Springer, 2006Contents: “…Ideals and Homomorphisms -- Low-Dimensional Lie Algebras -- Solvable Lie Algebras and a Rough Classification -- Subalgebras of gl(V) -- Engel's Theorem and Lie's Theorem -- Some Representation Theory -- Representations of sl(2, C) -- Cartan's Criteria -- The Root Space Decomposition -- Root Systems -- The Classical Lie Algebras -- The Classification of Root Systems -- Simple Lie Algebras -- Further Directions -- Appendix A: Linear Algebra -- Appendix B: Weyl's Theorem -- Appendix C: Cartan Subalgebras -- Appendix D: Weyl Groups -- Appendix E: Answers to Selected Exercises.…”Description: 1 online resource (x, 251 pages) : illustrations.
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6
Fuzzy lie algebras
Published: Springer, 2018Contents: “…9.1 Introduction9.2 Rough Fuzzy Lie Ideals; 9.3 Fuzzy Rough Lie Algebras; 9.4 Rough Intuitionistic Fuzzy Lie Algebras; 10 Fuzzy n-Lie Algebras; 10.1 Introduction; 10.2 Fuzzy Subalgebras and Ideals; 10.3 Fuzzy Quotient n-Lie Algebras; 10.4 Pythagorean Fuzzy n-Lie Algebras; References; Glossary of Symbols; Index.…”Description: 1 online resource.
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Highlights in lie algebraic methods
Published: Birkhäuser, 2012Contents: “….-¡7 The Weyl Denominator Identity for Finite-Dimensional Lie Superalgebras -- 8 Hopf Algebras and Frobenius Algebras in Finite Tensor Categories -- 9 Mutation Classes of 3 x 3 Generalized Cartan Matrices -- 10 Contractions and Polynomial Lie Algebras.…”Description: 1 online resource (xv, 226 pages).
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Lie algebras and algebraic groups
Published: Springer, 2005Contents: “…Preface -- Results on topological spaces -- Rings and modules -- Integral extensions -- Factorial rings -- Field extensions -- Finitely generated algebras -- Gradings and filtrations -- Inductive limits -- Sheaves of functions -- Jordan decomposition and some basic results on groups -- Algebraic sets -- Prevarieties and varieties -- Projective varieties -- Dimension -- Morphisms and dimension -- Tangent spaces -- Normal varieties -- Root systems -- Lie algebras -- Semisimple and reductive Lie algebras -- Algebraic groups -- Affine algebraic groups -- Lie algebra of an algebraic group -- Correspondence between groups and Lie algebras -- Homogeneous spaces and quotients -- Solvable groups -- Reductive groups -- Borel subgroups, parabolic subgroups and Cartan subgroups -- Cartan subalgebras, Borel subalgebras and parabolic subalgebras -- Representations of semisimple Lie algebras -- Symmetric invariants -- S-triples -- Polarizations -- Results on orbits -- Centralizers -- S -root systems -- Symmetric Lie algebras -- Semisimple symmetric Lie algebras -- Sheets of Lie algebras -- Index and linear forms -- References -- Index of notations -- Index of terminologies.…”Description: 1 online resource (xvi, 653 pages) : illustrations.
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Lie groups and lie algebras a physicist's perspective
Published: Oxford University Press, 2013Subjects: Oxford scholarship online - Click here for accessDescription: 1 online resource.
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Lie Algebras In Particle Physics : from Isospin To Unified Theories First edition.
Published: CRC Press, 2018Distributed by publisher. Purchase or institutional license may be required for access.Description: 1 online resource : text file, PDF.
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11
Classical lie algebras at infinity
Published: Springer, 2022Contents: “…Structure of Locally Reductive Lie Algebras -- 1. Finite-dimensional Lie algebras -- 2. …”Description: 1 online resource.
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Introduction to finite and infinite dimensional lie (super)algebras
Published: Elsevier, 2016Contents: “…Front Cover; Introduction to Finite and Infinite Dimensional Lie (Super) algebras; Copyright; Dedication; Contents; About the author; Acknowledgement; Preface; Author Acknowledgements; Chapter 1: Finite-dimensional Lie algebras; 1.1 Basic definition of Lie algebras with examples and structure constants; A Lie algebra can also be defined starting from the definition of an algebra; Lie algebras of one, two, and three dimensions and their structure constants; 1.2 Subalgebras of Lie algebras and different classes of subalgebras of gl(n, C); 1.2.1 Different subalgebras of gl(n, C).…”Description: 1 online resource.
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Lie methods in deformation theory
Published: Springer, 2022Contents: “…Differential Graded Lie Algebras -- 6. MaurerCartan Equation and Deligne Groupoids -- 7. …”Description: 1 online resource (576 pages).
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Lie groups, Lie algebras, and representations : an elementary introduction Second edition.
Published: Springer, 2015Contents: “…-Matrix Lie Groups -- The Matrix Exponential -- Lie Algebras -- Basic Representation Theory -- The Baker?…”Description: 1 online resource (xii, 449 pages) : illustrations.
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Introduction to Lie groups and Lie algebras
Published: Academic Press, 1973Contents: “…Front Cover; Introdction to Lie Groups and Lie Algebras; Copyright Page; Contents; Preface; Chapter 1. …”Description: 1 online resource (ix, 361 pages).
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Lie algebras, Chevalley groups, and their representations
Published: Springer, 2021Contents: “…Intro -- Preface -- Contents -- About the Author -- Notations -- 1 Lie Algebras -- 1.1 Definitions and Examples -- 1.2 Universal Enveloping Algebras: PBW Theorem -- 1.3 Solvable and Nilpotent Lie Algebras -- 1.4 Semi-Simple Lie Algebras -- 1.5 Extensions of Lie Algebras and Co-homology -- 2 Semi-Simple Lie Algebras and Root Systems -- 2.1 Root Space Decomposition -- 2.2 Root Systems -- 2.3 Dynkin Diagram and the Classification of Root Systems -- 2.4 Conjugacy Theorem, Existence and Uniqueness Theorems -- 3 Representation Theory of Lie Algebras -- 3.1 Theorems of Ado and Iwasawa.…”Description: 1 online resource (xiv, 321 pages).
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Representation theory of the virasoro algebra
Published: Springer, 2011Subjects: “…Representations of Lie algebras.…”Description: 1 online resource (xviii, 474 pages).
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Representations of Lie algebras and partial differential equations
Published: Springer, 2017Contents: “….- Introduction.- I Fundament of Lie Algebras.- Preliminary of Lie Algebras.- Semisimple Lie Algebras.- Root Systems.- Isomorphisms, Conjugacy and Exceptional Types.- Highest-Weight Representation Theory.- II Explicit Representations.- Representations of Special Linear Algebras.- Representations of Even Orthogonal Lie Algebras -- Representations of Odd Orthogonal Lie Algebras -- Representations of Symplectic Lie Algebras -- Representations of G 2 and F 4 -- Representations of E6 -- Representations of E -- III Related Topics -- Oscillator Representations of gl(n.…”Description: 1 online resource.
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Advances in geometry and lie algebras from supergravity
Published: Springer, 2018Contents: “…1.5 The Classification Theorem1.6 The Exceptional Lie Algebra mathfrakg2; 1.7 A Golden Splitting for Quaternionic Algebras; 1.7.1 The Golden Splitting of the Quaternionic Algebra mathfrakg2; 1.7.2 Chevalley-Serre Basis; 1.8 The Lie Algebra mathfrakf4 and its Fundamental Representation; 1.8.1 Explicit Construction of the Fundamental and Adjoint Representation of mathfrakf4; 1.9 Conclusions for This Chapter; References; 2 Isometries and the Geometry of Coset Manifolds; 2.1 Conceptual and Historical Introduction; 2.1.1 Symmetric Spaces and Elie Cartan.…”Description: 1 online resource (xx, 556 pages) : illustrations (some color).
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Representations and nilpotent orbits of Lie algebraic systems : in honour of the 75th birthday of Tony Joseph
Published: Birkhäuser, 2019Contents: “…On Dynkin gradings in simple Lie algebras /…”Description: 1 online resource (xvii, 553 pages) : illustrations (some color).
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