Search Results - "Lie algebra"

Lie algebras : theory and algorithms 1st ed. by De Graaf, Willem A.

Contents: “…Cartan subalgebras. Lie algebras with non-degenerate Killing form. The classification of the simple Lie algebras. …”
Elsevier - Click here for access

Lie algebras : finite and infinite dimensional Lie algebras and applications in physics by Bäuerle, G. G. A. (Gerard G. A.)

Contents: “…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.…”
Elsevier - Click here for access

Lie algebras First edition]. by Wan, Zhexian

Contents: “…Front Cover; Lie Algebras; Copyright Page; Table of Contents; PREFACE; CHAPTER 1. …”
Elsevier - Click here for access

Lie algebras and applications by Iachello, F.

Contents: “…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.…”
SpringerLink - Click here for access

Introduction to Lie algebras by Erdmann, Karin, 1948-

Contents: “…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.…”
SpringerLink - Click here for access

Fuzzy lie algebras by Akram, Muhammad

Contents: “…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.…”
SpringerLink - Click here for access

Highlights in lie algebraic methods by SpringerLink (Online service)

Contents: “….-¡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.…”
SpringerLink - Click here for access

Lie algebras and algebraic groups by Tauvel, Patrice

Contents: “…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.…”
SpringerLink - Click here for access

Lie groups and lie algebras a physicist's perspective by Bincer, Adam M. (Adam Marian)

Subjects: Oxford scholarship online - Click here for access

Lie Algebras In Particle Physics : from Isospin To Unified Theories First edition. by Georgi, Howard

Distributed by publisher. Purchase or institutional license may be required for access.
View item
Click here to view.
Get full text
Taylor & Francis - Click here for access

Classical lie algebras at infinity by Penkov, Ivan, Hoyt, Crystal

Contents: “…Structure of Locally Reductive Lie Algebras -- 1. Finite-dimensional Lie algebras -- 2. …”
SpringerLink - Click here for access

Introduction to finite and infinite dimensional lie (super)algebras by Sthanumoorthy, N. (Neelacanta), 1945-

Contents: “…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).…”
Elsevier - Click here for access

Lie methods in deformation theory by Manetti, Marco

Contents: “…Differential Graded Lie Algebras -- 6. MaurerCartan Equation and Deligne Groupoids -- 7. …”
SpringerLink - Click here for access

Lie groups, Lie algebras, and representations : an elementary introduction Second edition. by Hall, Brian C.

Contents: “…-Matrix Lie Groups -- The Matrix Exponential -- Lie Algebras -- Basic Representation Theory -- The Baker?…”
SpringerLink - Click here for access

Introduction to Lie groups and Lie algebras by Sagle, Arthur A.

Contents: “…Front Cover; Introdction to Lie Groups and Lie Algebras; Copyright Page; Contents; Preface; Chapter 1. …”
Elsevier - Click here for access

Lie algebras, Chevalley groups, and their representations by Lal, Ramji, 1945-

Contents: “…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.…”
SpringerLink - Click here for access

Representation theory of the virasoro algebra by Iohara, Kenji

Subjects: “…Representations of Lie algebras.…”
SpringerLink - Click here for access

Representations of Lie algebras and partial differential equations by Xu, Xiaoping (Mathematician)

Contents: “….- 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.…”
SpringerLink - Click here for access

Advances in geometry and lie algebras from supergravity by Frè, P.

Contents: “…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.…”
SpringerLink - Click here for access

Representations and nilpotent orbits of Lie algebraic systems : in honour of the 75th birthday of Tony Joseph by SpringerLink (Online service), Algebraic Modes of Representations (Conference)

Contents: “…On Dynkin gradings in simple Lie algebras /…”
SpringerLink - Click here for access