Highlights in Lie Algebraic Methods

Beschreibung

An outgrowth of a two-week summer session at Jacobs University in Bremen, Germany in August 2009 ("Structures in Lie Theory, Crystals, Derived Functors, Harish–Chandra Modules, Invariants and Quivers"), 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. List of Contributors: M. BoosM. BrionJ. FuchsM. GorelikA. JosephM. ReinekeC. SchweigertV. SerganovaA. SevenW. SoergelB. WilsonG. Zuckerman
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. 
Consists of invited contributions highlighting recent developments in Lie algebraic methods Self-contained volume Written by leading experts in their respective fields Includes supplementary material: sn.pub/extras

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Anthony Joseph

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Kac–Moody superalgebras Lie algebraic methods representation theory spherical varieties vertex algebras matrix theory

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