Combinatorial Methods For Computing Plethysms Of Schur Functions
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Combinatorial Methods For Computing Plethysms Of Schur Functions
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Author : Luisa Carini
language : en
Publisher:
Release Date : 1995
Combinatorial Methods For Computing Plethysms Of Schur Functions written by Luisa Carini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Eurocal 85 European Conference On Computer Algebra Linz Austria April 1 3 1985 Proceedings
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Author : Bob F. Caviness
language : en
Publisher: Springer Science & Business Media
Release Date : 1985
Eurocal 85 European Conference On Computer Algebra Linz Austria April 1 3 1985 Proceedings written by Bob F. Caviness and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Computer science categories.
Dissertation Abstracts International
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Author :
language : en
Publisher:
Release Date : 1995
Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Dissertations, Academic categories.
Eurocal 85 Research Contributions
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Author : Bruno Buchberger
language : en
Publisher: Berlin ; New York : Springer-Verlag
Release Date : 1985
Eurocal 85 Research Contributions written by Bruno Buchberger and has been published by Berlin ; New York : Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Match
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Author :
language : en
Publisher:
Release Date : 1977
Match written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Chemistry categories.
Topics In Computational Algebra
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Author : G.M. Piacentini Cattaneo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Topics In Computational Algebra written by G.M. Piacentini Cattaneo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The main purpose of these lectures is first to briefly survey the fundamental con nection between the representation theory of the symmetric group Sn and the theory of symmetric functions and second to show how combinatorial methods that arise naturally in the theory of symmetric functions lead to efficient algorithms to express various prod ucts of representations of Sn in terms of sums of irreducible representations. That is, there is a basic isometry which maps the center of the group algebra of Sn, Z(Sn), to the space of homogeneous symmetric functions of degree n, An. This basic isometry is known as the Frobenius map, F. The Frobenius map allows us to reduce calculations involving characters of the symmetric group to calculations involving Schur functions. Now there is a very rich and beautiful theory of the combinatorics of symmetric functions that has been developed in recent years. The combinatorics of symmetric functions, then leads to a number of very efficient algorithms for expanding various products of Schur functions into a sum of Schur functions. Such expansions of products of Schur functions correspond via the Frobenius map to decomposing various products of irreducible representations of Sn into their irreducible components. In addition, the Schur functions are also the characters of the irreducible polynomial representations of the general linear group over the complex numbers GLn(C).
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2004
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Journal Of Physics
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Author :
language : en
Publisher:
Release Date : 2001
Journal Of Physics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematical physics categories.
Symmetric Functions And Hall Polynomials
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Author : Ian Grant Macdonald
language : en
Publisher: Oxford University Press
Release Date : 1998
Symmetric Functions And Hall Polynomials written by Ian Grant Macdonald and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
This is a paperback version of the second, much expanded, edition of Professor Macdonald's acclaimed monograph on symmetric functions and Hall polynomials. Almost every chapter has new sections and new examples have been included throughout. Extra material in the appendix to Chapter 1, for example, includes an account of the related theory of polynomial representations of the general linear groups (always in characteristic zero). Chapters 6 and 7 are new to the second edition: Chapter 6 contains an extended account of a family of symmetric functions depending rationally on two parameters. These symmetric functions include as particular cases many of those encountered earlier in the book but they also include, as a limiting case, Jack's symmetric functions depending on a parameter (. Many of the properties of the Schur functions generalize to these two-parameter symmetric functions, but the proofs (at present) are usually more elaborate. Chapter 7 is devoted to the study of the zonal polynomials, long familiar to statisticians. From one point of view they are a special case of Jack's symmetric functions (the parameter ( being equal to 2) but their combinatorial and group-theoretic connections make them worthy of study in their own right. From reviews of the first edition: 'Despite the amount of material of such great potential interest to mathematicians...the theory of symmetric functions remains all but unknown to the persons it is most likely to benefit...Hopefully this beautifully written book will put an end to this state of affairs...I have no doubt that this book will become the definitive reference on symmetric functions and their applications.' Bulletin of the AMS '...In addition to providing a self-contained and coherent account of well-known and classical work, there is a great deal which is original. The book is dotted with gems, both old and new...It is a substantial and valuable volume and will be regarded as the authoritative source which has been long awaited in this subject.' LMS book reviews From reviews of the second edition: 'Evidently this second edition will be the source and reference book for symmetric functions in the near future.'Zbl. Math.
Lectures On Invariant Theory
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Author : Igor Dolgachev
language : en
Publisher: Cambridge University Press
Release Date : 2003-08-07
Lectures On Invariant Theory written by Igor Dolgachev and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-07 with Mathematics categories.
The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.