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020 _a9780821881705
_q(electronic bk.)
020 _z9780821846513
035 _a(MiAaPQ)EBC3113346
035 _a(Au-PeEL)EBL3113346
035 _a(CaPaEBR)ebr10878801
035 _a(OCoLC)922980862
040 _aMiAaPQ
_beng
_erda
_epn
_cMiAaPQ
_dMiAaPQ
050 4 _aQA387 -- .W67 2007eb
082 0 _a512/.482
100 1 _aGordon, Carolyn S.
245 1 0 _aNew Developments in Lie Theory and Geometry.
250 _a1st ed.
264 1 _aProvidence :
_bAmerican Mathematical Society,
_c2009.
264 4 _c©2009.
300 _a1 online resource (363 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aContemporary Mathematics ;
_vv.491
505 0 _aIntro -- 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 -- References -- 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 -- References -- 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 -- References -- 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.
505 8 _aThe 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 -- References -- New techniques for pointed Hopf algebras.
588 _aDescription based on publisher supplied metadata and other sources.
590 _aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 0 _aRepresentations of Lie groups -- Congresses.
650 0 _aHomogeneous spaces -- Congresses.
650 0 _aGeometry, Differential -- Congresses.
655 4 _aElectronic books.
700 1 _aTirao, Juan.
700 1 _aVargas, Jorge A.
700 1 _aWolf, Joseph A.
776 0 8 _iPrint version:
_aGordon, Carolyn S.
_tNew Developments in Lie Theory and Geometry
_dProvidence : American Mathematical Society,c2009
_z9780821846513
797 2 _aProQuest (Firm)
830 0 _aContemporary Mathematics
856 4 0 _uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113346
_zClick to View
999 _c68880
_d68880