Highlights in Lie Algebraic Methods
Published on 19. October 2011
Book
Hardback
XV, 227 pages
978-0-8176-8273-6 (ISBN)
Description
This volume consists of expository and research articles that highlight the various Lie algebraic methods used in mathematical research today. Key topics discussed include spherical varieties, Littelmann Paths and Kac-Moody Lie algebras, modular representations, primitive ideals, representation theory of Artin algebras and quivers, Kac-Moody superalgebras, categories of Harish-Chandra modules, cohomological methods, and cluster algebras.
Reviews / Votes
Aus den Rezensionen: "... bietet mit den Kursausarbeitungen eine gute Einstiegsmoglichkeit fur interessierte Leser, die die algebraische Lie Theorie besser kennenlernen wollen." (D. BURDE, in: Monatshefte fur Mathematik, Januar/2013, Vol. 169, Issue 1, S. 122 f.)More details
Series
Edition
2012 ed.
Language
English
Place of publication
Boston
United States
Target group
Professional and scholarly
Research
Illustrations
4 s/w Abbildungen
XV, 227 p. 4 illus.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 17 mm
Weight
535 gr
ISBN-13
978-0-8176-8273-6 (9780817682736)
DOI
10.1007/978-0-8176-8274-3
Schweitzer Classification
Other editions
Additional editions
Anthony Joseph | Anna Melnikov | Ivan Penkov
Highlights in Lie Algebraic Methods
E-Book
10/2011
1st Edition
Birkhäuser
€96.29
Available for download
Content
Preface.- Part I: The Courses.- 1 Spherical Varieties.- 2 Consequences of the Littelmann Path Model for the Structure of the Kashiwara
B
(8) Crystal.- 3 Structure and Representation Theory of Kac-Moody Superalgebras.- 4 Categories of Harish-Chandra Modules.- 5 Generalized Harish-Chandra Modules.- Part II: The Papers.- 6 B-Orbits of 2-Nilpotent Matrices.- 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.