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Pfaffians, involutions, and Schur functions

✍ Scribed by Thomas Scott Sundquist

Publisher
University of Minnesota
Year
1992
Tongue
English
Leaves
80
Category
Library
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✦ Synopsis

Our objective is to exhibit several facts concerning Pfaffians, and their relationship to Schur functions. We adopt the combinatorial point of view that the Pfaffian is a weighted generating function for perfect matchings, in analogy with the definition of the determinant as a weighted generating function for permutations.

✦ Table of Contents

  1. Introduction 1
  2. Some Pfaffian evaluations 3
  3. Symmetric functions 23
  4. More on tournaments 43
  5. Quotients of specialized Schur functions 53
    Bibliography 70

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