Contemporary Mathematics 2009; 348 pp; softcover Volume: 491 ISBN10: 0821846515 ISBN13: 9780821846513 List Price: US$99 Member Price: US$79.20 Order Code: CONM/491
 This volume is an outgrowth of the Sixth Workshop on Lie Theory and Geometry, held in the province of Córdoba, Argentina in November 2007. The representation theory and structure theory of Lie groups play a pervasive role throughout mathematics and physics. Lie groups are tightly intertwined with geometry and each stimulates developments in the other. The aim of this volume is to bring to a larger audience the mutually beneficial interaction between Lie theorists and geometers that animated the workshop. Two prominent themes of the representation theoretic articles are Gelfand pairs and the representation theory of real reductive Lie groups. Among the more geometric articles are an exposition of major recent developments on noncompact homogeneous Einstein manifolds and aspects of inverse spectral geometry presented in settings accessible to readers new to the area. Readership Graduate students and research mathematicians interested in Lie groups and Lie algebras and their applications. Table of Contents  J. Lauret  Einstein solvmanifolds and nilsolitons
 C. U. Sánchez  Algebraic sets associated to isoparametric submanifolds
 L. Ji  Mostow strong rigidity and nonisomorphism for outer automorphism groups of free groups and mapping class groups
 R. J. Miatello and J. P. Rossetti  Spectral properties of flat manifolds
 P. Gilkey  Heat content, heat trace, and isospectrality
 D. Burde, K. Dekimpe, and S. Deschamps  LRalgebras
 C. Benson and G. Ratcliff  Combinatorial properties of generalized binomial coefficients
 C. Benson and G. Ratcliff  Spherical functions for the action of a finite unitary group on a finite Heisenberg group
 S. Gurevich and R. Hadani  Application of the Weil representation: Diagonalization of the discrete Fourier transform
 J. A. Wolf  Infinite dimensional multiplicity free spaces II: Limits of commutative nilmanifolds
 L. Barchini and R. Zierau  Certain components of Springer fibers: algorithms, examples and applications
 E. Galina  Weighted Vogan diagrams associated to real nilpotent orbits
 M. Colarusso  The GelfandZeitlin integrable system and its action on generic elements of \(\mathfrak gl(n)\) and \(\mathfrak so(n)\)
 P. Eberlein and M. Jablonski  Closed orbits of semisimple group actions and the real HilbertMumford function
 N. Andruskiewitsch and F. Fantino  New techniques for pointed Hopf algebras
