New developments in lie theory and geometry : Sixth Workshop on Lie Theory and Geometry, November 13-17, 2007 : Cruz Chica, Córdoba, Argentina / / Carolyn S. Gordon [and three others], editors

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2009]; ©2009
• Descrizione fisica: 1 online resource (363 p.)
• Disciplina: 512/.482
• Soggetto topico: Representations of Lie groups; Homogeneous spaces; Geometry, Differential
• Persona (resp. second.): GordonCarolyn <1950->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Contents -- Preface -- Einstein solvmanifolds and nilsolitons -- 1. Introduction -- 2. Structure and uniqueness results on Einstein solvmanifolds -- 3. Technical background -- 4. Variational approach to Einstein solvmanifolds -- 5. On the classification of Einstein solvmanifolds -- 6. Known examples and non examples -- 7. A stratification for the variety of nilpotent Lie algebras -- 8. The stratification and the standard condition -- 9. The stratification and Einstein solvmanifolds via closed orbits -- 10. Open problems -- 11. Appendix: Real geometric invariant theory -- Algebraic sets associated to isoparametric submanifolds -- Mostow strong rigidity and nonisomorphism for outer automorphism groups of free groups and mapping class groups -- 1. Introduction and statements of results -- 2. Nonisomorphisms between different types of groups -- 3. Proof of Mostow rigidity for Out(Fn) -- 4. Proof of Mostow rigidity for Mod+g,p -- Spectral properties of flat manifolds -- 1. Introduction -- 2. Flat manifolds -- 3. Spectrum and isospectrality of compact flat manifolds -- 4. Closed geodesics -- 5. P-isospectral examples -- 6. Self-intersection of closed geodesics -- 7. Poisson summation formulas -- 8. Flat orbifolds -- Heat content, heat trace, and isospectrality -- LR-algebras -- Combinatorial properties of generalized binomial coefficients -- Spherical functions for the action of a finite unitary group on a finite Heisenberg group -- Application of the Weil representation: diagonalization of the discrete Fourier transform -- Infinite dimensional multiplicity free spaces II: Limits of commutative nilmanifolds -- Certain components of Springer fibers: algorithms, examples and applications -- Weighted Vogan diagrams associated to real nilpotent orbits -- The Gelfand-Zeitlin integrable system and its action on generic elements of gl(n) and so(n) -- Closed orbits of semisimple group actions and the real Hilbert-Mumford function -- Introduction -- Section 1: Moment map and minimal vectors -- Section 2: The set of vectors with closed G-orbits -- Section 3: The M-function -- Section 4: The index method -- Section 5: Examples -- New techniques for pointed Hopf algebras.
• Titolo autorizzato: New developments in Lie theory and geometry
• ISBN: 0-8218-8170-1; 0-8218-4651-5
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910808664403321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society). ; 491 . 0271-4132