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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 by : Grant Walker (Mathematician)
Download or read book Polynomials and the mod 2 Steenrod Algebra written by Grant Walker (Mathematician) and published by Cambridge University Press. This book was released on 2018 with total page 381 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 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 381 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 2018 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.
Book Synopsis Polynomials and the Mod 2 Steenrod Algebra: Representations of GL(n,F2) by : Grant Walker (Mathematician)
Download or read book Polynomials and the Mod 2 Steenrod Algebra: Representations of GL(n,F2) written by Grant Walker (Mathematician) and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Polynomials and the Mod 2 Steenrod Algebra: The Peterson hit problem by : Grant Walker (Mathematician)
Download or read book Polynomials and the Mod 2 Steenrod Algebra: The Peterson hit problem written by Grant Walker (Mathematician) and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 London Mathematical Society Le. This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two volumes detailing Steenrod algebra and its applications, with background material. Ideal for researchers in pure mathematics.
Download or read book Lectures on K(X) written by Raoul Bott and published by . This book was released on 1963 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis C*-algebras and Elliptic Theory II by : Dan Burghelea
Download or read book C*-algebras and Elliptic Theory II written by Dan Burghelea and published by Springer Science & Business Media. This book was released on 2008-03-18 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of a collection of original, refereed research and expository articles on elliptic aspects of geometric analysis on manifolds, including singular, foliated and non-commutative spaces. The topics covered include the index of operators, torsion invariants, K-theory of operator algebras and L2-invariants. There are contributions from leading specialists, and the book maintains a reasonable balance between research, expository and mixed papers.
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 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 394 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 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 236 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 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 384 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 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.
Download or read book Number Theory II written by A. N. Parshin and published by Springer. This book was released on 1992 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 62 of the Encyclopedia presents the main structures and results of algebraic number theory with emphasis on algebraic number fields and class field theory. Written for the nonspecialist, the author assumes a general understanding of modern algebra and elementary number theory. Only the general properties of algebraic number fields and relate.
