Developments and Retrospectives in Lie Theory Algebraic Methods /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Mason, Geoffrey (Επιμελητής έκδοσης), Penkov, Ivan (Επιμελητής έκδοσης), Wolf, Joseph A. (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: Developments in Mathematics, 38
• Θέματα: Mathematics.; Algebraic geometry.; Topological groups.; Lie groups.; Number theory.; Topological Groups, Lie Groups.; Algebraic Geometry.; Number Theory.

This volume reviews and updates a prominent series of workshops in representation/Lie theory, and reflects the widespread influence of those  workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, and mathematical physics.  Many of the contrib...

Πίνακας περιεχομένων:

• Group 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. Miličić)
• 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).