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Symmetric Functions and Hall Polynomials (Paperback, 2nd Revised edition)
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Symmetric Functions and Hall Polynomials (Paperback, 2nd Revised edition)
Series: Oxford Classic Texts in the Physical Sciences
Expected to ship within 12 - 17 working days
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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.
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