Notices of the American Mathematical Society
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- Volume 55 | Number 2 | February 2008
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Table of Contents
Featured Articles and Invitations from the AMS
Crystals That Nature Might Miss Creating
Toshikazu Sunada
Mathematical crystals are infinite graphs realized periodically in space. They have two kinds of symmetries: the usual extrinsic symmetry of congruent transformations of space preserving the realization, plus the intrinsic symmetry of graph automorphisms. These coincide for diamond crystals; the author considers other mathematical crystals which share this property.
Irving Kaplansky's Role in Mid-Twentieth Century Functional Analysis
Richard V. Kadison
The late Irving Kaplansky had a lasting influence in many areas of mathematics. The author recounts the history, including the anecdotal history, of Kaplansky's interests in functional analysis and its practitioners, as he personally experienced it.