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Symmetric Functions and Hall Polynomials - I. G. Macdonald

Symmetric Functions and Hall Polynomials

(Autor)

Buch | Softcover
488 Seiten
2015 | 2nd Revised edition
Oxford University Press (Verlag)
978-0-19-873912-8 (ISBN)
CHF 77,95 inkl. MwSt
Reissued in the Oxford Classical Texts, this acclaimed second edition is nowadays the key resource on Macdonald polynomials, important for many research mathematicians.
This reissued classic text is the acclaimed second edition of Professor Ian Macdonald's groundbreaking monograph on symmetric functions and Hall polynomials.

The first edition was published in 1979, before being significantly expanded into the present edition in 1995. This text is widely regarded as the best source of information on Hall polynomials and what have come to be known as Macdonald polynomials, central to a number of key developments in mathematics and mathematical physics in the 21st century

Macdonald polynomials gave rise to the subject of double affine Hecke algebras (or Cherednik algebras) important in representation theory. String theorists use Macdonald polynomials to attack the so-called AGT conjectures. Macdonald polynomials have been recently used to construct knot invariants. They are also a central tool for a theory of integrable stochastic models that have found a number of applications in probability, such as random matrices, directed polymers in random media, driven lattice gases, and so on.

Macdonald polynomials have become a part of basic material that a researcher simply must know if (s)he wants to work in one of the above domains, ensuring this new edition will appeal to a very broad mathematical audience.

Featuring a new foreword by Professor Richard Stanley of MIT.

I. G. Macdonald, Emeritus Professor, Queen Mary and Westfield College, London

I. Symmetric functions ; II. Hall polynomials ; III. HallLittlewood symmetric functions ; IV. The characters of GLn over a finite field ; V. The Hecke ring of GLn over a finite field ; VI. Symmetric functions with two parameters ; VII. Zonal polynomials

Erscheint lt. Verlag 5.11.2015
Reihe/Serie Oxford Classic Texts in the Physical Sciences
Verlagsort Oxford
Sprache englisch
Maße 157 x 234 mm
Gewicht 732 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 0-19-873912-5 / 0198739125
ISBN-13 978-0-19-873912-8 / 9780198739128
Zustand Neuware
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