Symmetric Functions and Hall Polynomials

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ID: 289273
1995
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Abstract
Abstract This is a new and much expanded edition of Professor Macdonald's acclaimed monograph on Symmetric Functions and Hall Polynomials. Almost every chapter has new sections and many new examples have been included throughout. In addition there are two new chapters (6 and 7). Chapter 6 contains an extended account of a family of symmetric functions depending on two parameters. These symmetric functions include as particular cases many of those encountered earlier in the book and they also include, as a limiting case, Jack's symmetric functions depending on a parameter a. Many of the properties of the Schur functions generalize to these two-parameter symmetric functions. Chapter 7 is devoted to the study of the zxonal polynomials, long familiar to staticians. From one point of view, they are a special case of Jack's symmetric functions (the parameter a being equal to 2) but their combinatorial and group-theoretic connections make them worthy of study in their own right.
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openalex_W2134984950 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors I. G. Macdonald
Journal Oxford University Press eBooks
Year 1995
DOI
10.1093/oso/9780198534891.001.0001
URL
https://doi.org/10.1093/oso/9780198534891.001.0001
Keywords Keywords not found

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