書誌事項

Mathematical essays in honor of Gian-Carlo Rota

Bruce E. Sagan, Richard P. Stanley, editors

(Progress in mathematics, v. 161)

Birkhäuser, c1998

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  • : sz

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注記

Includes bibliographical references and index

内容説明・目次

巻冊次

: us ISBN 9780817638726

内容説明

In April of 1996 an array of mathematicians converged on Cambridge, Massachusetts, for the Rotafest and Umbral Calculus Workshop, two con ferences celebrating Gian-Carlo Rota's 64th birthday. It seemed appropriate when feting one of the world's great combinatorialists to have the anniversary be a power of 2 rather than the more mundane 65. The over seventy-five par ticipants included Rota's doctoral students, coauthors, and other colleagues from more than a dozen countries. As a further testament to the breadth and depth of his influence, the lectures ranged over a wide variety of topics from invariant theory to algebraic topology. This volume is a collection of articles written in Rota's honor. Some of them were presented at the Rotafest and Umbral Workshop while others were written especially for this Festschrift. We will say a little about each paper and point out how they are connected with the mathematical contributions of Rota himself.

目次

MacMahon's Partition Analysis: I. The Lecture Hall Partition Theorem.- The cd-Index of Zonotopes and Arrangements.- Letter-Place Methods and Homotopy.- Classification of Trivectors in 6-D Space.- Parameter Augmentation for Basic Hypergeometric Series, I.- Unities and Negation.- The Would-Be Method of Targeted Rings.- Lattice Walks and Primary Decomposition.- Natural Exponential Families and Umbral Calculus.- Umbral Calculus in Hilbert Space.- A Strategy for Determining Polynomial Orthogonality.- Plethystic Formulas and Positivity for q, t-Kostka Coefficients.- An Alternative Evaluation of the Andrews-Burge Determinant.- The Number of Points in a Combinatorial Geometry with No 8-Point-Line Minors.- Umbral Shifts and Symmetric Functions of Schur Type.- An Axiomization for Cubic Algebras.- An Elementary Proof of Roichman's Rule for Irreducible Characters of Iwahori-Hecke Algebras of Type A.- Universal Constructions in Umbral Calculus.- Hyperplane Arrangements, Parking Functions and Tree Inversions.- More Orthogonal Polynomials as Moments.- Difference Equations via the Classical Umbral Calculus.- An Analogy in Geometric Homology: Rigidity and Cofactors on Geometric Graphs.- The Umbral Calculus and Identities for Hypergeometric Functions with Special Arguments.- Apologies to T.S. Eliot: The Rota Nerds.
巻冊次

: sz ISBN 9783764338725

内容説明

The essays in this volume pay tribute to Gian-Carlo Rota on the occasion of his 64th birthday. The breadth and depth of Rota's interests, research and influence are reflected in such areas as: combinatorics, invariant theory, geometry, algebraic topology, and representation theory.

目次

  • Rotafest prgramme
  • MacMahon's partition analysis - I the lecture hall partition theorem, George E.Andrews
  • the cd-index of zonotypes and arrangements, Louis J. Billera, Richard Ehrenbor and margar Readdy
  • letter-place methods and homotopy, David A. Buchsbaum
  • classification of trivectors in 6-D space, Wendy Chan
  • parameter augmentation for basic hypergeometric series I, William Y.C. Chen and Zhi-Guo Liu
  • unities and negation, Henry crapo and Claude le conte de Poly-Barbut
  • the would-be meth of targeted rings, ottavio M. D'Antona
  • lattice walks and primary decomposition, Persi diaconis, Dav Eisenbud and Bernd Sturmfels
  • natural exponential families and umbral calculus, A. di Bucchianico a D.E. Loeb
  • umbral calculus in hilbert space, A.di Bucchianico, D.E. Loeb and Gian-Carlo Rota
  • a strategy for determining polynomial orthogonality, J.M. Freeman
  • plethystic formulas and positivity q,t-kosta coefficinets, A.M. Garsia and J. Remmel
  • an alternative evaluation of the Andrews-Burge determinant, C. Krattenthaler
  • the number of points in a combinatorial geometry with no 8-point-line minors, Joseph E. Bonin and Joseph P.S. Kung
  • umbral shifts and symmetric functions of schur type, Miguel A. Mendez
  • an axiomization for cubic algebras, Colin Bailey and Joseph Oliveira
  • an elementar proof of Roichman's rule for irreducible characters of Iwahori-Hecke algebras of type A, Arun Ram
  • universal constructions in umbral calculus, Nigel Ray
  • hyperplane arrangements, parking functions an tree inversions, Richard P. Stanley
  • more orthogonal polynomials as moments, Mourad E.H. Ismail and Dennis Stanton
  • more orthogonal ploynomials as moments, Mourad E.H. Ismail and Dennis Stanton
  • difference equations via the classical umbral calculus, Brian D. Taylor
  • an analogy in geometric homology - rigidity and cofactors on geometric graphs, Walter Whiteley
  • the umbral calculus and identities for hypergeometric functions with special arguments, Jet Wimp
  • apologies to T.S. Eliot - rota nerds, J.S. Yang.

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詳細情報

  • NII書誌ID(NCID)
    BA35830391
  • ISBN
    • 0817638725
    • 3764338725
  • LCCN
    98015395
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Boston
  • ページ数/冊数
    ix, 463 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
  • 親書誌ID
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