Computational Aspects of Discrete Subgroups of Lie Groups - 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 Computational Aspects of Discrete Subgroups of Lie Groups write by Alla Detinko. This book was released on 2023-03-10. Computational Aspects of Discrete Subgroups of Lie Groups available in PDF, EPUB and Kindle. This volume contains the proceedings of the virtual workshop on Computational Aspects of Discrete Subgroups of Lie Groups, held from June 14 to June 18, 2021, and hosted by the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island. The major theme deals with a novel domain of computational algebra: the design, implementation, and application of algorithms based on matrix representation of groups and their geometric properties. It is centered on computing with discrete subgroups of Lie groups, which impacts many different areas of mathematics such as algebra, geometry, topology, and number theory. The workshop aimed to synergize independent strands in the area of computing with discrete subgroups of Lie groups, to facilitate solution of theoretical problems by means of recent advances in computational algebra.
Computational Aspects of Lie Group Representations and Related Topics
Computational Aspects of Lie Group Representations and Related Topics - 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 Computational Aspects of Lie Group Representations and Related Topics write by Arjeh M. Cohen. This book was released on 1991. Computational Aspects of Lie Group Representations and Related Topics available in PDF, EPUB and Kindle.
Discrete Subgroups of Semisimple Lie Groups
Discrete Subgroups of Semisimple Lie Groups - 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 Discrete Subgroups of Semisimple Lie Groups write by Gregori A. Margulis. This book was released on 1991-02-15. Discrete Subgroups of Semisimple Lie Groups available in PDF, EPUB and Kindle. Discrete subgroups have played a central role throughout the development of numerous mathematical disciplines. Discontinuous group actions and the study of fundamental regions are of utmost importance to modern geometry. Flows and dynamical systems on homogeneous spaces have found a wide range of applications, and of course number theory without discrete groups is unthinkable. This book, written by a master of the subject, is primarily devoted to discrete subgroups of finite covolume in semi-simple Lie groups. Since the notion of "Lie group" is sufficiently general, the author not only proves results in the classical geometry setting, but also obtains theorems of an algebraic nature, e.g. classification results on abstract homomorphisms of semi-simple algebraic groups over global fields. The treatise of course contains a presentation of the author's fundamental rigidity and arithmeticity theorems. The work in this monograph requires the language and basic results from fields such as algebraic groups, ergodic theory, the theory of unitary representatons, and the theory of amenable groups. The author develops the necessary material from these subjects; so that, while the book is of obvious importance for researchers working in related areas, it is essentially self-contained and therefore is also of great interest for advanced students.
Discrete Subgroups of Lie Groups
Discrete Subgroups of Lie Groups - 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 Discrete Subgroups of Lie Groups write by M. S. Raghunathan. This book was released on 1972. Discrete Subgroups of Lie Groups available in PDF, EPUB and Kindle.
A Survey of Lie Groups and Lie Algebras with Applications and Computational Methods
A Survey of Lie Groups and Lie Algebras with Applications and Computational Methods - 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 A Survey of Lie Groups and Lie Algebras with Applications and Computational Methods write by Johan G. F. Belinfante. This book was released on 1989-01-01. A Survey of Lie Groups and Lie Algebras with Applications and Computational Methods available in PDF, EPUB and Kindle. Introduces the concepts and methods of the Lie theory in a form accessible to the non-specialist by keeping mathematical prerequisites to a minimum. Although the authors have concentrated on presenting results while omitting most of the proofs, they have compensated for these omissions by including many references to the original literature. Their treatment is directed toward the reader seeking a broad view of the subject rather than elaborate information about technical details. Illustrations of various points of the Lie theory itself are found throughout the book in material on applications. In this reprint edition, the authors have resisted the temptation of including additional topics. Except for correcting a few minor misprints, the character of the book, especially its focus on classical representation theory and its computational aspects, has not been changed.
