2 edition of **Representations of Lie groups and quantum groups** found in the catalog.

Representations of Lie groups and quantum groups

- 360 Want to read
- 20 Currently reading

Published
**1994**
by Longman Scientific & Technical, Wiley in Harlow, Essex, England, New York
.

Written in English

- Lie groups -- Congresses.,
- Representations of groups -- Congresses.,
- Quantum groups -- Congresses.

**Edition Notes**

Statement | Velleda Baldoni, Massimo A. Picardello (editors). |

Series | Pitman research notes in mathematics series,, 311 |

Contributions | Baldoni, M. Welleda, 1949-, Picardello, Massimo A., 1949-, European School of Group Theory (1993 : Trento, Italy) |

Classifications | |
---|---|

LC Classifications | QA387 .R48 1994 |

The Physical Object | |

Pagination | 333 p. : |

Number of Pages | 333 |

ID Numbers | |

Open Library | OL1086321M |

LC Control Number | 94010255 |

The book contains several well-written, accessible survey papers in many interrelated areas of current research. These areas cover various aspects of the representation theory of Lie algebras, finite groups of Lie types, Hecke algebras, and Lie superalgebras. texts which only discuss Lie algebras are the books \Introduction to Lie Algebras and Representation Theory" by J.E. Humphreys, and \Notes on Lie algebras" by H. Samel-son. A nice short text is the book \Lectures on Lie Groups and Lie Algebras" by R. Carter, G. Segal, and I. Mac Donald. Apart from a brief survey of the theory of complex File Size: KB.

This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary : Peter Woit. Historical review of Lie Theory 1. The theory of Lie groups and their representations is a vast subject (Bourbaki [Bou] hasso farwritten 9 chaptersand 1,pages)with.

Part I: Lie Groups Richard Borcherds, Mark Haiman, Nicolai Reshetikhin, Vera Serganova, and Theo Johnson-Freyd October 5, File Size: 1MB. A classical reference, in particular for discrete groups and applications in quantum mechanics. • H. Weyl,“Quantum mechanics and group theory,” Z. Phys. 46 () 1. One of the original foundations of the use of symmetry in quantum mechanics • R. N. Cahn, “Semisimple Lie Algebras And Their Representations,” Menlo Park.

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This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations.

The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field 5/5(4).

At first glance, this book is accessible and well-written. This is an illusion. In this book, Jones tries to cover the theory of finite and continuous groups, representation theory, lie groups and algebras and applications to quantum mechanics, molecular vibrations, special relativity by: This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations.

The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field Brand: Springer International Publishing. Providing a thorough introduction to the theory of complex semisimple quantum groups, i.e.

Drinfeld doubles of q-deformations of compact semisimple Lie groups, this book starts with Hopf algebras, and ends with the classification of admissible representations. This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations.

The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. Representation of Lie Groups and Special Functions Volume 3: Classical and Quantum Groups and Special Functions.

Authors (view affiliations) N. Vilenkin; A. Klimyk; Book. 58 Citations; k Downloads; Part of the Mathematics and Its Applications (Soviet Series) book series (MASS, volume 75) Log in to check access. Buy eBook. USD Lie algebras Lie groups quantization quantum fields quantum mechanics representation theory Standard Model of particle physics unitary group representations two-state systems Lie algebra representations rotation and spin groups momentum and free particle fourier analysis and free particle Schroedinger representation Heisenberg group Poisson bracket and symplectic geometry Hamiltonian vector fields quantum free particle metaplectic representation.

This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations.

The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field.

There is a book titled "Group theory and Physics" by Sternberg that covers the basics, including crystal groups, Lie groups, representations. I think it's a good introduction to the topic. To quote a review on Amazon (albeit the only one): "This book is an excellent introduction to the use of group theory in physics, especially in crystallography, special relativity and particle physics.

3 Lie groups and Lie algebras 11 4 The exponential map 20 5 The classical Lie groups and their Lie algebras 30 6 Representation theory 35 7 The structure of Lie algebras 40 8 Complete reducibility 48 9 Cartan subalgebras and Dynkin diagrams 54 10 The classi cation of simple, complex Lie algebras 65 11 Weyl’s character formula 69File Size: KB.

Representations of Lie groups and quantum groups. [M Welleda Baldoni; Massimo A Picardello;] The European School of Theory is a conference that meets once a year with the purpose of giving advanced courses in group representations and related subjects to young researchers.

# Representations of Lie groups\/span>\n \u00A0\u00A0\u00A0\n. Exponentiation on matrix Lie groups 30 Integration on Lie Groups 31 Representations of Lie Groups 33 Representations of Lie Algebras 37 The Baker-Campbell-Hausdor (BCH) Formula 38 The Killing Form and the Casimir Operator 45 3.

SU(2) and Isospin 48 Lie Algebras of SO(3) and SU(2) 48 Relationship between SO File Size: KB. Berkeley Lectures on Lie Groups and Quantum Groups Richard Borcherds, Mark Haiman, Theo Johnson-Freyd, Nicolai Reshetikhin, and Vera Serganova Last updated Janu File Size: 1MB.

This book presents classical mechanics, quantum mechanics, and statistical mechanics in an almost completely algebraic setting, thereby introducing mathematicians, physicists, and engineers to the ideas relating classical and quantum mechanics with Lie algebras and Lie by: 8.

Quantum Theory, Groups and Representations: An Introduction Peter Woit Department of Mathematics, Columbia University [email protected] Size: 2MB. unitary representations of the Poincar e group.

Modern theories of the dynamics of elementary particles are based on the concept of gauge groups, which are in nite-dimensional Lie groups based on classical Lie groups.

For the standard model it is SU(3) SU(2) U(1), and people try to extend it to groups like SU(5);SO(8);E 6;File Size: KB.

Books Books developing group theory by physicists from the perspective of particle physics are H. Jones, Groups, Representations and Physics, 2nd ed., IOP Publishing (). A fairly easy going introduction. Georgi, Lie Algebras in Particle Physics, Perseus Books (). Describes the basics of Lie algebras for classical Size: 1MB.

Lie groups, Lie algebras, and representation theory are the main focus of this text. In order to keep the prerequisites to a minimum, the author restricts attention to matrix Lie groups and Lie /5. From Wikipedia, the free encyclopedia. In mathematics and theoretical physics, a representation of a Lie group is a linear action of a Lie group on a vector space.

Equivalently, a representation is a smooth homomorphism of the group into the group of invertible operators on the vector space. group. This has led to studies of the representations of SU(5), O(10), and E6.

Eﬀorts to understand the replication of fermions in generations have prompted discussions of even larger groups. The present volume is intended to meet the need of particle physicists for a book which is accessible to non-mathematicians. The focus is on the. Plus contributions which treat the construction and classification of quantum groups or the associated solutions of the quantum Yang-Baxter equation.

The representation theory of quantum groups is discussed, as is the function algebra approach to quantum groups, and there is a new look at the origins of quantum groups in the theory of.Lie groups and quantum algebras are connected through their common universal enveloping algebra.

The adjoint action of Lie group on its algebra is naturally extended to related q-algebra and q.Examples of unitary representations of Lie groups If G = U(n), taking ˇto be the identity map gives a unitary representation on Cn, the \de ning representation".

There are many more possibilities. We will see that quantum mechanics produces more examples. Peter Woit (Columbia University) Quantum Theory and Group Representations November File Size: KB.