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Polynomials And The Mod 2 Steenrod Algebra Volume 2 Representations Of Gl Nf2
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Book Synopsis Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2) by : Grant Walker
Download or read book Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2) written by Grant Walker and published by Cambridge University Press. This book was released on 2017-11-09 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's `hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n, F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.
Book Synopsis Polynomials and the mod 2 Steenrod Algebra by : Grant Walker
Download or read book Polynomials and the mod 2 Steenrod Algebra written by Grant Walker and published by Cambridge University Press. This book was released on 2017-11-09 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second of two volumes covering the Steenrod algebra and its various applications. Ideal for researchers in pure mathematics.
Book Synopsis Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2) by : Grant Walker
Download or read book Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2) written by Grant Walker and published by Cambridge University Press. This book was released on 2017-11-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's `hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n, F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.
Book Synopsis Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem by : Grant Walker
Download or read book Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem written by Grant Walker and published by Cambridge University Press. This book was released on 2017-11-09 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n,F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.
Book Synopsis Polynomial Representations of GLn by : James Alexander Green
Download or read book Polynomial Representations of GLn written by James Alexander Green and published by . This book was released on 1980 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first half of this book contains the text of the first edition of LNM volume 830, Polynomial Representations of GLn. This classic account of matrix representations, the Schur algebra, the modular representations of GLn, and connections with symmetric groups, has been the basis of much research in representation theory. The second half is an Appendix, and can be read independently of the first. It is an account of the Littelmann path model for the case gln. In this case, Littelmann's 'paths' become 'words', and so the Appendix works with the combinatorics on words. This leads to the repesentation theory of the 'Littelmann algebra', which is a close analogue of the Schur algebra. The treatment is self- contained; in particular complete proofs are given of classical theorems of Schensted and Knuth.
Book Synopsis Unstable Modules Over the Steenrod Algebra and Sullivan's Fixed Point Set Conjecture by : Lionel Schwartz
Download or read book Unstable Modules Over the Steenrod Algebra and Sullivan's Fixed Point Set Conjecture written by Lionel Schwartz and published by University of Chicago Press. This book was released on 1994-07-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive account of one of the main directions of algebraic topology, this book focuses on the Sullivan conjecture and its generalizations and applications. Lionel Schwartz collects here for the first time some of the most innovative work on the theory of modules over the Steenrod algebra, including ideas on the Segal conjecture, work from the late 1970s by Adams and Wilkerson, and topics in algebraic group representation theory. This course-tested book provides a valuable reference for algebraic topologists and includes foundational material essential for graduate study.
Download or read book Lectures on K(X). written by Raoul Bott and published by . This book was released on 1967 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Exotic Properties of Superfluid 3He by : G. E. Volovik
Download or read book Exotic Properties of Superfluid 3He written by G. E. Volovik and published by World Scientific. This book was released on 1992 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the unique properties of superfluid phases of 3He, the condensed matter with the outmost broken symmetry, which combine in a surprising way the properties of ordered magnets, liquid crystals and superfluids. The complicated vacuum state of these phases with a large number of fermionic and bosonic quasiparticles and topological objects remains the vacuum in modern quantum field theories. Some of the objects and physical phenomena in 3He have strong analogy with the neutrino, W-bosons, weak interactions, gravity, chiral anomaly, Quantum Hall Effect and fractional statistics. As an example of topological objects, the quantized vortices in 3He phases are discussed in detail, including singular and continuous vortices, half-quantum vortices, broken symmetry in the vortex core and phase transitions between the vortex states with different symmetry and topology.
Book Synopsis N=2 Supersymmetric Dynamics for Pedestrians by : Yuji Tachikawa
Download or read book N=2 Supersymmetric Dynamics for Pedestrians written by Yuji Tachikawa and published by Springer. This book was released on 2014-10-15 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the dynamics of gauge theories is crucial, given the fact that all known interactions are based on the principle of local gauge symmetry. Beyond the perturbative regime, however, this is a notoriously difficult problem. Requiring invariance under supersymmetry turns out to be a suitable tool for analyzing supersymmetric gauge theories over a larger region of the space of parameters. Supersymmetric quantum field theories in four dimensions with extended N=2 supersymmetry are further constrained and have therefore been a fertile field of research in theoretical physics for quite some time. Moreover, there are far-reaching mathematical ramifications that have led to a successful dialogue with differential and algebraic geometry. These lecture notes aim to introduce students of modern theoretical physics to the fascinating developments in the understanding of N=2 supersymmetric gauge theories in a coherent fashion. Starting with a gentle introduction to electric-magnetic duality, the author guides readers through the key milestones in the field, which include the work of Seiberg and Witten, Nekrasov, Gaiotto and many others. As an advanced graduate level text, it assumes that readers have a working knowledge of supersymmetry including the formalism of superfields, as well as of quantum field theory techniques such as regularization, renormalization and anomalies. After his graduation from the University of Tokyo, Yuji Tachikawa worked at the Institute for Advanced Study, Princeton and the Kavli Institute for Physics and Mathematics of the Universe. Presently at the Department of Physics, University of Tokyo, Tachikawa is the author of several important papers in supersymmetric quantum field theories and string theory.
Book Synopsis Automorphic Forms, Representations and $L$-Functions by : Armand Borel
Download or read book Automorphic Forms, Representations and $L$-Functions written by Armand Borel and published by American Mathematical Soc.. This book was released on 1979-06-30 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions
Book Synopsis Commutative Semigroups by : P.A. Grillet
Download or read book Commutative Semigroups written by P.A. Grillet and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book about commutative semigroups in general. Emphasis is on structure but the other parts of the theory are at least surveyed and a full set of about 850 references is included. The book is intended for mathematicians who do research on semigroups or who encounter commutative semigroups in their research.
Book Synopsis Characters of Solvable Groups by : I. Martin Isaacs
Download or read book Characters of Solvable Groups written by I. Martin Isaacs and published by American Mathematical Soc.. This book was released on 2018-05-23 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which can be considered as a sequel of the author's famous book Character Theory of Finite Groups, concerns the character theory of finite solvable groups and other groups that have an abundance of normal subgroups. It is subdivided into three parts: -theory, character correspondences, and M-groups. The -theory section contains an exposition of D. Gajendragadkar's -special characters, and it includes various extensions, generalizations, and applications of his work. The character correspondences section proves the McKay character counting conjecture and the Alperin weight conjecture for solvable groups, and it constructs a canonical McKay bijection for odd-order groups. In addition to a review of some basic material on M-groups, the third section contains an exposition of the use of symplectic modules for studying M-groups. In particular, an accessible presentation of E. C. Dade's deep results on monomial characters of odd prime-power degree is included. Very little of this material has previously appeared in book form, and much of it is based on the author's research. By reading a clean and accessible presentation written by the leading expert in the field, researchers and graduate students will be inspired to learn and work in this area that has fascinated the author for decades.
Book Synopsis Banach Spaces which Satisfy Linear Identities by : Bruce Arie Reznick
Download or read book Banach Spaces which Satisfy Linear Identities written by Bruce Arie Reznick and published by . This book was released on 1976 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Functional Analysis Methods in Numerical Analysis by : M. Z. Nashed
Download or read book Functional Analysis Methods in Numerical Analysis written by M. Z. Nashed and published by Springer. This book was released on 2006-11-15 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Group Theoretic Methods in Bifurcation Theory by : David H. Sattinger
Download or read book Group Theoretic Methods in Bifurcation Theory written by David H. Sattinger and published by Springer. This book was released on 2006-11-15 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ischemia and Loss of Vascular Autoregulation in Ocular and Cerebral Diseases: A New Perspective presents evidence that ischemia and loss of autoregulation of blood flow are associated with the onset of the major ocular and cerebral diseases including macular degeneration, diabetic retinopathy, low and normal tension open angle glaucoma, stroke and Alzheimer's disease. Recognition of these vascular changes underline the critical need for clinicians to monitor blood flow and autoregulation to improve early diagnosis and to optimize therapies of ocular and cerebral vascular diseases. The text brings to clinicians in Ophthalmology, Neurology, Medicine, Optometry and Geriatrics decisive guidance on the practical aspects for early diagnosis and treatment of ocular and cerebral diseases. The author brings together in a concise form the progress made over the span of his career and provides new perspectives and understanding of the fluid circulations of the eye and the brain. In addition, he explains the new analytical technologies that made the new concepts possible. The physiological and functional importance of blood flow autoregulation in the eye and in the brain in minimizing the progression of pathology, including the ischemia resulting from stenosis of the internal carotid artery and stroke, are also presented . ABOUT THE AUTHOR: Dr. Langham was born in London, England. In 1947, he joined the Ophthalmological Research Unit, newly formed by the Medical Research Council of the United Kingdom under the direction of Sir Stewart Duke-Elder. In 1956, the author enjoyed a research fellowship at Harvard University. After returning to England for a time, he accepted a position of Associate Professor of Ophthalmology and Director of Research at the Wilmer Ophthalmological Institute of the Johns Hopkins Hospital and Medical school in 1959. There he initiated a program in which all residents spent time engaged in research. This productive interaction between the disciplines led to many important clinical diagnostic and therapeutic advances.
Book Synopsis Europe Between Democracy and Anarchy by : Ferdinand Aloys Hermens
Download or read book Europe Between Democracy and Anarchy written by Ferdinand Aloys Hermens and published by . This book was released on 1951 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Ecology by : Thomas G. Hallam
Download or read book Mathematical Ecology written by Thomas G. Hallam and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: There isprobably no more appropriate location to hold a course on mathematical ecology than Italy, the countryofVito Volterra, a founding father ofthe subject. The Trieste 1982Autumn Course on Mathematical Ecology consisted of four weeksofvery concentrated scholasticism and aestheticism. The first weeks were devoted to fundamentals and principles ofmathematicalecology. A nucleusofthe material from the lectures presented during this period constitutes this book. The final week and a half of the Course was apportioned to the Trieste Research Conference on Mathematical Ecology whose proceedings have been published as Volume 54, Lecture Notes in Biomathematics, Springer-Verlag. The objectivesofthe first portionofthe course wereambitious and, probably, unattainable. Basic principles of the areas of physiological, population, com munitY, and ecosystem ecology that have solid ecological and mathematical foundations were to be presented. Classical terminology was to be introduced, important fundamental topics were to be developed, some past and some current problems of interest were to be presented, and directions for possible research were to be provided. Due to time constraints, the coverage could not be encyclopedic;many areas covered already have merited treatises of book length. Consequently, preliminary foundation material was covered in some detail, but subject overviewsand area syntheseswerepresented when research frontiers were being discussed. These lecture notes reflect this course philosophy.
