9 edition of The theory of Lie superalgebras found in the catalog.
Includes bibliographical references and index.
|Series||Lecture notes in mathematics ; 716, Lecture notes in mathematics (Springer-Verlag) ;, 716.|
|LC Classifications||QA3 .L28 no. 716, QA252.3 .L28 no. 716|
|The Physical Object|
|Pagination||x, 271 p. ;|
|Number of Pages||271|
|LC Control Number||79015333|
The volume is the outcome of the conference "Lie superalgebras," which was held at the Istituto Nazionale di Alta Matematica, in The conference gathered many specialists in the subject, and the talks held provided comprehensive insights into the newest trends in research on Lie superalgebras (and related topics like vertex algebras, representation theory and . Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory. This book develops the theory of Lie superalgebras, their enveloping algebras, and their by:
For the exceptional Lie superalgebras F (4) and G (3), we describe the blocks up to equivalence and find the corresponding quivers, which gives a full solution of this problem. We show that the blocks of atypicality 1 are tame, which together with Serganova's results for other Lie superalgebras proves a conjecture by J. by: Structures of Not-finitely Graded Lie Superalgebras Li, Juanjuan and Fan, Guangzhe, Journal of Generalized Lie Theory and Applications, ; Lie Derivatives along Antisymmetric Tensors, and the M-Theory Superalgebra Castellani, Leonardo, Journal of Physical Mathematics, ; On representations of Lie superalgebras, II Furutsu, Hirotoshi, Proceedings of the Japan .
Even though Lie superalgebras are so widely used, their representation theory, and in particular their Clebsch-Gordan decomposition, is far from being fully developed. This may partly be explained by the fact that indecomposable (but reducible) representations occur quite naturally [1, 12, 13]. Furthermore, many Lie superalgebras are known not. LIE SUPERALGEBRAS D. A. Leites UDC Results pertaining to the theory of representations of "classical" Lie super- algebras are collected in the survey. PREFACE A new area of mathematics -- the theory of supermanifolds -- arose in the s. ItsFile Size: 2MB.
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*immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. The Theory of Lie Superalgebras: An Introduction (Lecture Notes in Mathematics) th Edition by Manfred Scheunert (Author) ISBN ISBN Why is ISBN important.
ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. Format: Paperback. Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory.
This book develops the theory of Lie superalgebras, their enveloping algebras, and their representations. The book begins with five chapters on the basic properties of Lie superalgebras, including explicit constructions for all the classical simple Lie superalgebras.
Borel subalgebras Cited by: Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory.
Introduction to Finite and Infinite Dimensional Lie Algebras and Superalgebras introduces the theory of Lie superalgebras, their algebras, and their The theory of Lie superalgebras book. Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory.
This book develops the theory of Lie superalgebras, their enveloping algebras, and their representations. Get this from a library.
The theory of Lie superalgebras: an introduction. [M Scheunert]. Chapter 1. Basic facts about Lie superalgebras; Chapter 2. The structure of free Lie superalgebras; Chapter 3. Composition techniques in the theory of Lie superalgebras; Chapter 4.
Identities in enveloping algebras; Chapter 5. Irreducible representations of Lie superalgebras; Chapter 6. Finiteness conditions for colour Lie superalgebras with. 1st Edition Published on June 9, by CRC Press Combinatorial Aspects of Lie Superalgebras emphasizes the algorithmic and computational aspects of the combin.
Combinatorial Aspects of Lie Superalgebras contains comprehensive literature citations and provides an excellent reference on the techniques and results of combinatorial theory of Lie superalgebras. Programs that have been developed by the authors for computation are included on a diskette at the back of the book, and complete directions for.
dient Lie superalgebras , where the extended Dynkin diagrams of Lie superalgebra is used. But our method uses the ordinary Dynkin diagram as done by Knapp . In this article we construct all the real forms of Lie superalgebras by Vogan diagrams.
2 Real forms and Vogandiagrams Proposition 1 ( Proposition ).Cited by: 2. Part of the Mathematical Physics and Applied Mathematics book series (MPAM, volume 9) Abstract In this chapter the basic definitions and constructions of the Lie super-algebra theory are introduced and some of the most essential examples are considered.
The theory of Lie superalgebras: an introd. [Manfred Scheunert] Theory of Lie Superalgebras. Rating: (not yet rated) 0 with reviews - Be the first. Subjects: Book, Internet Resource: All Authors / Contributors: Manfred Scheunert.
Find more information about: ISBN. This book gives a systematic account of the structure and representation theory of finite-dimensional complex Lie superalgebras of classical type and serves as a good introduction to representation theory of Lie superalgebras.
Several folklore results are rigorously proved (and occasionally corrected in detail), sometimes with new proofs. Buy the Paperback Book The Theory of Lie Superalgebras: An Introduction by M.
Scheunert atCanada's largest bookstore. Free shipping and pickup in store on eligible orders. Book Title:The Theory of Lie Superalgebras: An Introduction (Lecture Notes in Mathematics) Author(s):M. Scheunert () Click on the link below to start the download The Theory of Lie Superalgebras: An Introduction (Lecture Notes in Mathematics).
Dualities and representations of Lie superalgebras / Shun-Jen Cheng, Weiqiang Wang. pages cm. — (Graduate studies in mathematics ; volume ) Includes bibliographical references and index.
ISBN (alk. paper) 1. Lie superalgebras. Duality theory (Mathematics) I. Wang, Weiqiang, – II. Title. QAC44 File Size: KB. Abstract This part is devoted to the generalization of the Laplace-Casimir operator theory to Lie supergroups. In what follows they are called Laplace operators.
The main result is the formula for the radial parts of the Laplace operators under some general assumptions about Lie supergroup. About this book.
Introduction. Lie theory is a mathematical framework for encoding the concept of symmetries of a problem, and was the central theme of an INdAM intensive research period at the Centro de Giorgi in Pisa, Italy, in the academic year Lie Superalgebras Generalities Classiﬁcation Root Systems Representation Theory.
Classiﬁcation of simple ﬁnite dim. Lie superalgebras There exist 3 types of Lie superalgebras: basic classical, strange classical and of Cartan Size: KB. In mathematics, a Lie superalgebra is a generalisation of a Lie algebra to include a Z2-grading.
Lie superalgebras are important in theoretical physics where they are used to describe the mathematics of supersymmetry. In most of these theories, the even elements of the superalgebra correspond to bosons and odd elements to fermions. In this work we want to study the cohomology of Lie algebras and Lie superalgebras and apply the results to several examples.
Chapters 1 and 2 give an introduction to the theory of Lie algebras and Lie superalgebras as well as to their representations. The reader may skip these chapters if he or she feels su ciently versed in that topic.The main fact in the theory of solvable Lie algebras is Lie’s theorem, which asserts that every finite-dimensional irreducible representation of a solvable Lie algebra over C is one-dimensional.
For Lie superalgebras this is not true,File Size: 4MB.Lie superalgebras are generalizations of Lie algebras, useful for depicting supersymmetry – the symmetry relating fermions and bosons.
Most known examples of Lie superalgebras with a related automorphic form such as the Fake Monster Lie algebra whose reflection group is given by the Leech lattice arise from (super)string theory and can be derived from lattice vertex .