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Titolo: |
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
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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 |
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