Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2)

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Publisher : Cambridge University Press
ISBN 13 : 1108359280
Total Pages : 382 pages
Book Rating : 4.1/5 (83 download)

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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.

Polynomials and the mod 2 Steenrod Algebra

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Publisher : Cambridge University Press
ISBN 13 : 1108414451
Total Pages : 381 pages
Book Rating : 4.1/5 (84 download)

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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.

Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2)

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9781108414456
Total Pages : 0 pages
Book Rating : 4.4/5 (144 download)

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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 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.

Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem

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Publisher : Cambridge University Press
ISBN 13 : 1108359299
Total Pages : 372 pages
Book Rating : 4.1/5 (83 download)

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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.

Polynomials and the Mod 2 Steenrod Algebra: Representations of GL(n,F2)

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (11 download)

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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:

Polynomials and the Mod 2 Steenrod Algebra

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Author :
Publisher : London Mathematical Society Le
ISBN 13 : 9781108414067
Total Pages : 0 pages
Book Rating : 4.4/5 (14 download)

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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.

Polynomials and the Mod 2 Steenrod Algebra: The Peterson hit problem

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (11 download)

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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:

Polynomial Representations of GLn

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Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.3/5 (91 download)

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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.

Lectures on K(X).

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Publisher :
ISBN 13 :
Total Pages : 161 pages
Book Rating : 4.:/5 (312 download)

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Book Synopsis Lectures on K(X). by : Raoul Bott

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:

Exotic Properties of Superfluid Helium 3

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Publisher : World Scientific
ISBN 13 : 9814513989
Total Pages : 232 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Exotic Properties of Superfluid Helium 3 by : G E Volovik

Download or read book Exotic Properties of Superfluid Helium 3 written by G E Volovik and published by World Scientific. This book was released on 1992-03-31 with total page 232 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. Contents:IntroductionBroken Symmetry in Superfluid Phase of 3HeTextures and Super-currents in Superfluid Phases of 3HeBose Excitations in Superfluid Phases of 3HeFermi Excitations in Superfluid Phases of 3HeOrbital Dynamics and Anomalies in Quantum Field TheoryTopological Objects in Superfluid Phases of 3HeSpontaneous Symmetry Breaking in the 3He VorticesQuasi-Two-Dimensional Superfluid 3He: Fractional Charge, Spin and StatisticsConclusion Readership: Condensed matter physicists. keywords:“Exotic Properties of Superfluid 3He will be of considerable interest to superfluid 3He researchers and to field theorists anxious to find out, in language that is comprehensible to them, what is happening in 3He physics.”John Hook Physics World

N=2 Supersymmetric Dynamics for Pedestrians

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Publisher : Springer
ISBN 13 : 331908822X
Total Pages : 236 pages
Book Rating : 4.3/5 (19 download)

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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.

Automorphic Forms, Representations and $L$-Functions

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Publisher : American Mathematical Soc.
ISBN 13 : 0821814370
Total Pages : 394 pages
Book Rating : 4.8/5 (218 download)

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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

Commutative Semigroups

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Publisher : Springer Science & Business Media
ISBN 13 : 1475733895
Total Pages : 443 pages
Book Rating : 4.4/5 (757 download)

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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.

Characters of Solvable Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 1470434857
Total Pages : 368 pages
Book Rating : 4.4/5 (74 download)

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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.

Banach Spaces which Satisfy Linear Identities

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Publisher :
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.F/5 ( download)

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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:

Functional Analysis Methods in Numerical Analysis

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Publisher : Springer
ISBN 13 : 3540355308
Total Pages : 344 pages
Book Rating : 4.5/5 (43 download)

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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:

Europe Between Democracy and Anarchy

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Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.3/5 (91 download)

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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: