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Developments in Mathematics Ser.: Developments and Retrospectives in Lie Theory by J. A. Wolf, Geoffrey Mason and Ivan B. Penkov (2016, Trade Paperback)
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About this product
Product Identifiers
PublisherSpringer International Publishing A&G
ISBN-103319378201
ISBN-139783319378206
eBay Product ID (ePID)240607888
Product Key Features
Number of PagesX, 397 Pages
LanguageEnglish
Publication NameDevelopments and Retrospectives in Lie Theory
Publication Year2016
SubjectGroup Theory, Algebra / Abstract, Topology, Geometry / Algebraic
TypeTextbook
Subject AreaMathematics
AuthorJ. A. Wolf, Geoffrey Mason, Ivan B. Penkov
SeriesDevelopments in Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Weight216.8 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Dewey Edition23
Series Volume Number38
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal512.482
Table Of ContentGroup gradings on Lie algebras with applications to geometry. I (Y. Bahturin, M. Goze, E. Remm).- Bounding the dimensions of rational cohomology groups (C.P. Bendel, B.D. Boe, C.M. Drupieski, D.K. Nakano, B.J. Parshall, C. Pillen, C.B. Wright).- Representations of the general linear Lie superalgebra in the BGG Category {$\mathcal O$} (J. Brundan).- Three results on representations of Mackey Lie algebras (A. Chirvasitu).- Free field realizations of the Date-Jimbo-Kashiwara-Miwa algebra (B. Cox, V. Futorny, R.A. Martins).- The deformation complex is a homotopy invariant of a homotopy algebra (V. Dolgushev, T. Willwacher).- Invariants of Artinian Gorenstein algebras and isolated hypersurface singularities (M.G. Eastwood, A.V. Isaev).- Generalized loop modules for affine Kac-Moody algebras (V. Futorny, I. Kashuba).- Twisted localization of weight modules (D. Grantcharov).- Dirac cohomology and generalization of classical branching rules (J.-S. Huang).- Cleft extensions and quotients of twisted quantum doubles (G. Mason, S.-H. Ng).- On the structure of ${\Bbb N}$-graded vertex operator algebras (G. Mason, G. Yamskulna).- Variations on a Casselman-Osborne theme (D. Milicic).- Tensor representations of Mackey Lie algebras and their dense subalgebras (I. Penkov, V. Serganova).- Algebraic methods in the theory of generalized Harish-Chandra modules (I. Penkov, G. Zuckerman).- On exceptional vertex operator (super) algebras (M.P. Tuite, H.D. Van).- The cubic, the quartic, and the exceptional group $G_2$ (A. van Groningen, J.F. Willenbring).
SynopsisGroup gradings on Lie algebras with applications to geometry. I (Y. Bahturin, M. Goze, E. Remm).- Bounding the dimensions of rational cohomology groups (C.P. Bendel, B.D. Boe, C.M. Drupieski, D.K. Nakano, B.J. Parshall, C. Pillen, C.B. Wright).- Representations of the general linear Lie superalgebra in the BGG Category {$\mathcal O$} (J. Brundan).- Three results on representations of Mackey Lie algebras (A. Chirvasitu).- Free field realizations of the Date-Jimbo-Kashiwara-Miwa algebra (B. Cox, V. Futorny, R.A. Martins).- The deformation complex is a homotopy invariant of a homotopy algebra (V. Dolgushev, T. Willwacher).- Invariants of Artinian Gorenstein algebras and isolated hypersurface singularities (M.G. Eastwood, A.V. Isaev).- Generalized loop modules for affine Kac-Moody algebras (V. Futorny, I. Kashuba).- Twisted localization of weight modules (D. Grantcharov).- Dirac cohomology and generalization of classical branching rules (J.-S. Huang).- Cleft extensions and quotients of twisted quantum doubles (G. Mason, S.-H. Ng).- On the structure of ${\Bbb N}$-graded vertex operator algebras (G. Mason, G. Yamskulna).- Variations on a Casselman-Osborne theme (D. Milicic).- Tensor representations of Mackey Lie algebras and their dense subalgebras (I. Penkov, V. Serganova).- Algebraic methods in the theory of generalized Harish-Chandra modules (I. Penkov, G. Zuckerman).- On exceptional vertex operator (super) algebras (M.P. Tuite, H.D. Van).- The cubic, the quartic, and the exceptional group $G_2$ (A. van Groningen, J.F. Willenbring)., The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. These workshops have been sponsored by the NSF, noting the talks have been seminal in describing new perspectives in the field covering broad areas of current research. At the beginning, the top universities in California and Utah hosted the meetings which continue to run on a quarterly basis. Experts in representation theory/Lie theory from various parts of the US, Europe, Asia (China, Japan, Singapore, Russia), Canada, and South and Central America were routinely invited to give talks at these meetings. Nowadays, the workshops are also hosted at universities in Louisiana, Virginia, and Oklahoma. The contributors to this volume have all participated in these Lie theory workshops and include in this volume expository articles which cover representation theory from the algebraic, geometric, analytic, and topological perspectives with also important connections to math physics. These survey articles, review and update the prominent seminal series of workshops in representation/Lie theory mentioned-above, and reflects the widespread influence of those workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, number theory, and mathematical physics. Many of the contributors have had prominent roles in both the classical and modern developments of Lie theory and its applications.
LC Classification NumberQA252.3
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