Geometry of Group Representations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry of Group Representations write by William Mark Goldman. This book was released on 1988. Geometry of Group Representations available in PDF, EPUB and Kindle. Contains papers based on talks delivered at the AMS-IMS-SIAM Summer Research Conference on the Geometry of Group Representations, held at the University of Colorado in Boulder in July 1987. This work offers an understanding of the state of research in the geometry of group representations and their applications.
Geometric Group Theory
Geometric Group Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Group Theory write by Clara Löh. This book was released on 2017-12-19. Geometric Group Theory available in PDF, EPUB and Kindle. Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and graph theory. This carefully written textbook provides a rigorous introduction to this rapidly evolving field whose methods have proven to be powerful tools in neighbouring fields such as geometric topology. Geometric group theory is the study of finitely generated groups via the geometry of their associated Cayley graphs. It turns out that the essence of the geometry of such groups is captured in the key notion of quasi-isometry, a large-scale version of isometry whose invariants include growth types, curvature conditions, boundary constructions, and amenability. This book covers the foundations of quasi-geometry of groups at an advanced undergraduate level. The subject is illustrated by many elementary examples, outlooks on applications, as well as an extensive collection of exercises.
Lie Groups, Geometry, and Representation Theory
Lie Groups, Geometry, and Representation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lie Groups, Geometry, and Representation Theory write by Victor G. Kac. This book was released on 2018-12-12. Lie Groups, Geometry, and Representation Theory available in PDF, EPUB and Kindle. This volume, dedicated to the memory of the great American mathematician Bertram Kostant (May 24, 1928 – February 2, 2017), is a collection of 19 invited papers by leading mathematicians working in Lie theory, representation theory, algebra, geometry, and mathematical physics. Kostant’s fundamental work in all of these areas has provided deep new insights and connections, and has created new fields of research. This volume features the only published articles of important recent results of the contributors with full details of their proofs. Key topics include: Poisson structures and potentials (A. Alekseev, A. Berenstein, B. Hoffman) Vertex algebras (T. Arakawa, K. Kawasetsu) Modular irreducible representations of semisimple Lie algebras (R. Bezrukavnikov, I. Losev) Asymptotic Hecke algebras (A. Braverman, D. Kazhdan) Tensor categories and quantum groups (A. Davydov, P. Etingof, D. Nikshych) Nil-Hecke algebras and Whittaker D-modules (V. Ginzburg) Toeplitz operators (V. Guillemin, A. Uribe, Z. Wang) Kashiwara crystals (A. Joseph) Characters of highest weight modules (V. Kac, M. Wakimoto) Alcove polytopes (T. Lam, A. Postnikov) Representation theory of quantized Gieseker varieties (I. Losev) Generalized Bruhat cells and integrable systems (J.-H. Liu, Y. Mi) Almost characters (G. Lusztig) Verlinde formulas (E. Meinrenken) Dirac operator and equivariant index (P.-É. Paradan, M. Vergne) Modality of representations and geometry of θ-groups (V. L. Popov) Distributions on homogeneous spaces (N. Ressayre) Reduction of orthogonal representations (J.-P. Serre)
Representation Theory and Complex Geometry
Representation Theory and Complex Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representation Theory and Complex Geometry write by Neil Chriss. This book was released on 1997. Representation Theory and Complex Geometry available in PDF, EPUB and Kindle. This volume provides an overview of modern advances in representation theory from a geometric standpoint. The techniques developed are quite general and can be applied to other areas such as quantum groups, affine Lie groups, and quantum field theory.
Poisson Geometry, Deformation Quantisation and Group Representations
Poisson Geometry, Deformation Quantisation and Group Representations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Poisson Geometry, Deformation Quantisation and Group Representations write by Simone Gutt. This book was released on 2005-06-21. Poisson Geometry, Deformation Quantisation and Group Representations available in PDF, EPUB and Kindle. An accessible introduction to Poisson geometry suitable for graduate students.
