The de Sitter (dS) Group and Its Representations
Author : Mohammad Enayati
Publisher : Springer Nature
Page : 250 pages
File Size : 47,72 MB
Release :
Category :
ISBN : 3031565525
Author : Mohammad Enayati
Publisher : Springer Nature
Page : 250 pages
File Size : 47,72 MB
Release :
Category :
ISBN : 3031565525
Author : Hideto Asashiba
Publisher : American Mathematical Society
Page : 282 pages
File Size : 12,30 MB
Release : 2022-09-29
Category : Mathematics
ISBN : 1470464845
This book gives a self-contained account of applications of category theory to the theory of representations of algebras. Its main focus is on 2-categorical techniques, including 2-categorical covering theory. The book has few prerequisites beyond linear algebra and elementary ring theory, but familiarity with the basics of representations of quivers and of category theory will be helpful. In addition to providing an introduction to category theory, the book develops useful tools such as quivers, adjoints, string diagrams, and tensor products over a small category; gives an exposition of new advances such as a 2-categorical generalization of Cohen-Montgomery duality in pseudo-actions of a group; and develops the moderation level of categories, first proposed by Levy, to avoid the set theoretic paradox in category theory. The book is accessible to advanced undergraduate and graduate students who would like to study the representation theory of algebras, and it contains many exercises. It can be used as the textbook for an introductory course on the category theoretic approach with an emphasis on 2-categories, and as a reference for researchers in algebra interested in derived equivalences and covering theory.
Author : J.P Gazeau
Publisher : CRC Press
Page : 1004 pages
File Size : 35,9 MB
Release : 2003-11-30
Category : Mathematics
ISBN : 9780750309332
One of the most enduring elements in theoretical physics has been group theory. GROUP 24: Physical and Mathematical Aspects of Symmetries provides an important selection of informative articles describing recent advances in the field. The applications of group theory presented in this book deal not only with the traditional fields of physics, but also include such disciplines as chemistry and biology. Awarded the Wigner Medal and the Weyl Prize, respectively, H.J. Lipkin and E. Frenkel begin the volume with their contributions. Plenary session contributions are represented by 18 longer articles, followed by nearly 200 shorter articles. The book also presents coherent states, wavelets, and applications and quantum group theory and integrable systems in two separate sections. As a record of an international meeting devoted to the physical and mathematical aspects of group theory, GROUP 24: Physical and Mathematical Aspects of Symmetries constitutes an essential reference for all researchers interested in various current developments related to the important concept of symmetry.
Author : João C. A. Barata
Publisher : American Mathematical Society
Page : 282 pages
File Size : 40,35 MB
Release : 2023-01-18
Category : Mathematics
ISBN : 147045548X
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Author : Nicolas Boulanger
Publisher : MDPI
Page : 459 pages
File Size : 32,39 MB
Release : 2018-08-09
Category : Mathematics
ISBN : 303842997X
This book is a printed edition of the Special Issue "Higher Spin Gauge Theories" that was published in Universe
Author : Henri Berestycki
Publisher : American Mathematical Society
Page : 282 pages
File Size : 32,4 MB
Release : 2022-11-10
Category : Mathematics
ISBN : 1470454297
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Author : Giuseppe Dito
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 18,66 MB
Release : 2013-03-08
Category : Mathematics
ISBN : 9401512760
These two volumes constitute the Proceedings of the `Conférence Moshé Flato, 1999'. Their spectrum is wide but the various areas covered are, in fact, strongly interwoven by a common denominator, the unique personality and creativity of the scientist in whose honor the Conference was held, and the far-reaching vision that underlies his scientific activity. With these two volumes, the reader will be able to take stock of the present state of the art in a number of subjects at the frontier of current research in mathematics, mathematical physics, and physics. Volume I is prefaced by reminiscences of and tributes to Flato's life and work. It also includes a section on the applications of sciences to insurance and finance, an area which was of interest to Flato before it became fashionable. The bulk of both volumes is on physical mathematics, where the reader will find these ingredients in various combinations, fundamental mathematical developments based on them, and challenging interpretations of physical phenomena. Audience: These volumes will be of interest to researchers and graduate students in a variety of domains, ranging from abstract mathematics to theoretical physics and other applications. Some parts will be accessible to proficient undergraduate students, and even to persons with a minimum of scientific knowledge but enough curiosity.
Author :
Publisher :
Page : 502 pages
File Size : 35,69 MB
Release : 1999
Category : Nuclear physics
ISBN :
Author : Vladimir K. Dobrev
Publisher : Walter de Gruyter GmbH & Co KG
Page : 422 pages
File Size : 42,40 MB
Release : 2016-09-12
Category : Mathematics
ISBN : 3110427648
With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory supplemented by many concrete examples for a great variety of noncompact semisimple Lie algebras and groups. Contents: Introduction Lie Algebras and Groups Real Semisimple Lie Algebras Invariant Differential Operators Case of the Anti-de Sitter Group Conformal Case in 4D Kazhdan–Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant Equations Invariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie Algebras Multilinear Invariant Differential Operators from New Generalized Verma Modules Bibliography Author Index Subject Index
Author : Claudio Bartocci
Publisher : World Scientific
Page : 329 pages
File Size : 27,86 MB
Release : 2011
Category : Mathematics
ISBN : 1848166427
This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modeling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines. The integration of mathematics with physics, molecular and cell biology, and the neurosciences, will constitute the new frontier and challenge for 21st century science, where breakthroughs are more likely to span across traditional disciplines.