LEADER 04188nam 2200577 450 001 9910808664403321 005 20220822060423.0 010 $a0-8218-8170-1 010 $a0-8218-4651-5 035 $a(CKB)3240000000070015 035 $a(EBL)3113346 035 $a(SSID)ssj0000629385 035 $a(PQKBManifestationID)11398670 035 $a(PQKBTitleCode)TC0000629385 035 $a(PQKBWorkID)10731705 035 $a(PQKB)10884545 035 $a(MiAaPQ)EBC3113346 035 $a(RPAM)15634453 035 $a(PPN)197108180 035 $a(EXLCZ)993240000000070015 100 $a20090223h20092009 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNew developments in lie theory and geometry $eSixth Workshop on Lie Theory and Geometry, November 13-17, 2007 : Cruz Chica, Co?rdoba, Argentina /$fCarolyn S. Gordon [and three others], editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2009] 210 4$dİ2009 215 $a1 online resource (363 p.) 225 1 $aContemporary mathematics,$v491$x0271-4132 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references. 327 $aContents -- 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. 410 0$aContemporary mathematics (American Mathematical Society).$v491$x0271-4132 606 $aRepresentations of Lie groups$vCongresses 606 $aHomogeneous spaces$vCongresses 606 $aGeometry, Differential$vCongresses 615 0$aRepresentations of Lie groups 615 0$aHomogeneous spaces 615 0$aGeometry, Differential 676 $a512/.482 702 $aGordon$b Carolyn$f1950- 712 12$aWorkshop on Lie Theory and Geometry 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910808664403321 996 $aNew developments in Lie theory and geometry$9783093 997 $aUNINA