Proofs and Confirmations
The Story of the Alternating-Sign Matrix Conjecture
This is an introduction to recent developments in algebraic combinatorics and an illustration of how research in mathematics actually progresses. The author recounts the story of the search for and discovery of a proof of a formula conjectured in the late 1970s: the number of n x n alternating sign matrices, objects that generalize permutation matrices. While apparent that the conjecture must be true, the proof was elusive. Researchers became drawn to this problem, making connections to aspects of invariant theory, to symmetric functions, to hypergeometric and basic hypergeometric series, and, finally, to the six-vertex model of statistical m…
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Produktdetails
- ISBN: 978-1-316-03767-6
- EAN: 9781316037676
- Produktnummer: 19566370
- Verlag: Cambridge University Press
- Sprache: Englisch
- Erscheinungsjahr: 1999
- Seitenangabe: 0 S.
- Plattform: PDF
- Masse: 1'963 KB
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