Irish Mathematical Society

Cumann Matamaitice na hÉireann

BULLETIN Number 44 Easter 2000

ISSN 0791-5578

Contents

• IMS Officers and Local Representatives ......... ii
• Notes on Applying for IMS Membership .......... iii
• Editorial ................................................................ 1
• Minutes of IMS meeting, 22 December 1999 .... 2

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• Surveys
• A Survey of C*-algebraic Quantum Groups, Part II
  ........................ Johan Kustermans, Lars Tuset ... 6
• Articles
• Nilpotent Rings and Finite Primary Rings with
  Cyclic Groups of Units ................ Cora Stack ... 55
• Matrix Elements for the one-dimensional
  Harmonic Oscillator
  ................. José L. López-Bonilla, G. Ovando .... 61
• On an Error by Angus E. Taylor
  ................................................ Pádraig Kirwan .... 66
• Annihilating Polynomials, Trace Forms and
  the Galois Number ........... Seán McGarraghy .... 76
• A Growth Theorem for Biholomorphic Mappings
  on a Banach Space ............. Tatsuhiro Honda .... 88

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• Review
• Complex Analysis on Infinite Dimensional Spaces
  by Sean Dineen ............... Ignacio Zalduendo .... 94