Highlights in Lie Algebraic Methods / SpringerLink (Online service) ; Joseph, Anthony ; Melnikov, Anna ; Penkov, Ivan (2012)  

Público ISBD Título : Highlights in Lie Algebraic Methods Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Joseph, Anthony ; Melnikov, Anna ; Penkov, Ivan Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2012 Colección: Progress in Mathematics num. 295 Número de páginas: XV, 227 p. 4 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-8274-3 Idioma : Inglés (eng) Palabras clave: Mathematics  Algebra  Category  theory  (Mathematics)  Homological  algebra  Matrix  Topological  groups  Lie  Groups,  Groups  Theory,  General  Algebraic  Systems  Linear  and  Multilinear  Algebras,  Theory Clasificación: 51 Matemáticas Resumen: 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. Boos M. Brion J. Fuchs M. Gorelik A. Joseph M. Reineke C. Schweigert V. Serganova A. Seven W. Soergel B. Wilson G. Zuckerman Nota de contenido: 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 En línea: http://dx.doi.org/10.1007/978-0-8176-8274-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32681 Highlights in Lie Algebraic Methods [documento electrónico] / SpringerLink (Online service) ; Joseph, Anthony ; Melnikov, Anna ; Penkov, Ivan . - Boston : Birkhäuser Boston, 2012 . - XV, 227 p. 4 illus : online resource. - (Progress in Mathematics; 295) . ISBN : 978-0-8176-8274-3 Idioma : Inglés (eng) Palabras clave: Mathematics  Algebra  Category  theory  (Mathematics)  Homological  algebra  Matrix  Topological  groups  Lie  Groups,  Groups  Theory,  General  Algebraic  Systems  Linear  and  Multilinear  Algebras,  Theory Clasificación: 51 Matemáticas Resumen: 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. Boos M. Brion J. Fuchs M. Gorelik A. Joseph M. Reineke C. Schweigert V. Serganova A. Seven W. Soergel B. Wilson G. Zuckerman Nota de contenido: 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 En línea: http://dx.doi.org/10.1007/978-0-8176-8274-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32681

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Studies in Lie Theory / SpringerLink (Online service) ; Joseph Bernstein ; Hinich, Vladimir ; Melnikov, Anna (2006)  

Público ISBD Título : Studies in Lie Theory : Dedicated to A. Joseph on his Sixtieth Birthday Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Joseph Bernstein ; Hinich, Vladimir ; Melnikov, Anna Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2006 Colección: Progress in Mathematics num. 243 Número de páginas: XXII, 494 p. 2 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4478-9 Idioma : Inglés (eng) Palabras clave: Mathematics  Group  theory  Topological  groups  Lie  Harmonic  analysis  Geometry  Groups,  Groups  Theory  and  Generalizations  Abstract  Analysis Clasificación: 51 Matemáticas Resumen: Dedicated to Anthony Joseph, this volume contains surveys and invited articles by leading specialists in representation theory. The focus here is on semisimple Lie algebras and quantum groups, where the impact of Joseph's work has been seminal and has changed the face of the subject. Two introductory biographical overviews of Joseph's contributions in classical representation theory (the theory of primitive ideals in semisimple Lie algebras) and quantized representation theory (the study of the quantized enveloping algebra) are followed by 16 research articles covering a number of varied and interesting topics in representation theory. Contributors: J. Alev; A. Beilinson; A. Braverman; I. Cherednik; J. Dixmier; F. Dumas; P. Etingof; D. Farkas; D. Gaitsgory; F. Ivorra; A. Joseph; D. Joseph; M. Kashiwara; D. Kazhdan; A.A. Kirillov; B. Kostant; S. Kumar; G. Letzter; T. Levasseur; G. Lusztig; L. Makar-Limanov; W. McGovern; M. Nazarov; K-H. Neeb; L.G. Rybnikov; P. Schapira; V. Schechtman; A. Sergeev; J.T. Stafford; Ya. Varshavsky; N. Wallach; and I. Waschkies Nota de contenido: Survey and Review -- The work of Anthony Joseph in classical representation theory -- Quantized representation theory following Joseph -- Research Articles -- Opérateurs différentiels invariants et problème de Noether -- Langlands parameters for Heisenberg modules -- Instanton counting via affine Lie algebras II: From Whittaker vectors to the Seiberg-Witten prepotential -- Irreducibility of perfect representations of double affine Hecke algebras -- Algebraic groups over a 2-dimensional local field: Some further constructions -- Modules with a Demazure flag -- Microlocalization of ind-sheaves -- Endoscopic decomposition of certain depth zero representations -- Odd family algebras -- Gelfand-Zeitlin theory from the perspective of classical mechanics. I -- Extensions of algebraic groups -- Differential operators and cohomology groups on the basic affine space -- A q-analogue of an identity of N. Wallach -- Centralizers in the quantum plane algebra -- Centralizer construction of the Yangian of the queer Lie superalgebra -- Definitio nova algebroidis verticiani En línea: http://dx.doi.org/10.1007/0-8176-4478-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34868 Studies in Lie Theory : Dedicated to A. Joseph on his Sixtieth Birthday [documento electrónico] / SpringerLink (Online service) ; Joseph Bernstein ; Hinich, Vladimir ; Melnikov, Anna . - Boston, MA : Birkhäuser Boston, 2006 . - XXII, 494 p. 2 illus : online resource. - (Progress in Mathematics; 243) . ISBN : 978-0-8176-4478-9 Idioma : Inglés (eng) Palabras clave: Mathematics  Group  theory  Topological  groups  Lie  Harmonic  analysis  Geometry  Groups,  Groups  Theory  and  Generalizations  Abstract  Analysis Clasificación: 51 Matemáticas Resumen: Dedicated to Anthony Joseph, this volume contains surveys and invited articles by leading specialists in representation theory. The focus here is on semisimple Lie algebras and quantum groups, where the impact of Joseph's work has been seminal and has changed the face of the subject. Two introductory biographical overviews of Joseph's contributions in classical representation theory (the theory of primitive ideals in semisimple Lie algebras) and quantized representation theory (the study of the quantized enveloping algebra) are followed by 16 research articles covering a number of varied and interesting topics in representation theory. Contributors: J. Alev; A. Beilinson; A. Braverman; I. Cherednik; J. Dixmier; F. Dumas; P. Etingof; D. Farkas; D. Gaitsgory; F. Ivorra; A. Joseph; D. Joseph; M. Kashiwara; D. Kazhdan; A.A. Kirillov; B. Kostant; S. Kumar; G. Letzter; T. Levasseur; G. Lusztig; L. Makar-Limanov; W. McGovern; M. Nazarov; K-H. Neeb; L.G. Rybnikov; P. Schapira; V. Schechtman; A. Sergeev; J.T. Stafford; Ya. Varshavsky; N. Wallach; and I. Waschkies Nota de contenido: Survey and Review -- The work of Anthony Joseph in classical representation theory -- Quantized representation theory following Joseph -- Research Articles -- Opérateurs différentiels invariants et problème de Noether -- Langlands parameters for Heisenberg modules -- Instanton counting via affine Lie algebras II: From Whittaker vectors to the Seiberg-Witten prepotential -- Irreducibility of perfect representations of double affine Hecke algebras -- Algebraic groups over a 2-dimensional local field: Some further constructions -- Modules with a Demazure flag -- Microlocalization of ind-sheaves -- Endoscopic decomposition of certain depth zero representations -- Odd family algebras -- Gelfand-Zeitlin theory from the perspective of classical mechanics. I -- Extensions of algebraic groups -- Differential operators and cohomology groups on the basic affine space -- A q-analogue of an identity of N. Wallach -- Centralizers in the quantum plane algebra -- Centralizer construction of the Yangian of the queer Lie superalgebra -- Definitio nova algebroidis verticiani En línea: http://dx.doi.org/10.1007/0-8176-4478-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34868

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