The Resource Proofs and confirmations : the story of the alternating sign matrix conjecture, David M. Bressoud

Proofs and confirmations : the story of the alternating sign matrix conjecture, David M. Bressoud

Label
Proofs and confirmations : the story of the alternating sign matrix conjecture
Title
Proofs and confirmations
Title remainder
the story of the alternating sign matrix conjecture
Statement of responsibility
David M. Bressoud
Creator
Subject
Language
eng
Summary
"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 early 1980s: the number of m x n alternating sign matrices, objects that generalize permutation matrices. Although it was soon apparent that the conjecture must be true, the proof was elusive. Researchers became drawn to this problem, making connections to aspects of the invariant theory of Jacobi, Sylvester, Cayley, MacMahon, Schur, and Young, to partitions and plane partitions, to symmetric functions, to hypergeometric and basic hypergeometric series, and, finally, to the six-vertex model of statistical mechanics. All these threads are brought together in Zeilberger's 1995 proof of the original conjecture." "The book is accessible to anyone with a knowledge of linear algebra."--Jacket
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1950-
http://library.link/vocab/creatorName
Bressoud, David M.
Illustrations
illustrations
Index
index present
LC call number
QA188
LC item number
.B73 1999
Literary form
non fiction
Nature of contents
bibliography
Series statement
Spectrum series
http://library.link/vocab/subjectName
  • Matrices
  • Combinatorial analysis
  • Statistical mechanics
  • Matrices
  • Analyse combinatoire
  • Mécanique statistique
  • Combinatorial analysis
  • Matrices
  • Statistical mechanics
  • Combinatieleer
  • Matrices
  • Bewijs (wetenschap)
Label
Proofs and confirmations : the story of the alternating sign matrix conjecture, David M. Bressoud
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 261-268) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
The conjecture -- Fundamental structures -- Lattice paths and plane partitions -- Symmetric functions -- Hypergeometric series -- Explorations -- Square ice
Dimensions
23 cm.
Extent
xv, 274 pages
Isbn
9780521666466
Isbn Type
(pbk.)
Lccn
99020232
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)40964741
  • (OCoLC)ocm40964741
Label
Proofs and confirmations : the story of the alternating sign matrix conjecture, David M. Bressoud
Publication
Bibliography note
Includes bibliographical references (p. 261-268) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
The conjecture -- Fundamental structures -- Lattice paths and plane partitions -- Symmetric functions -- Hypergeometric series -- Explorations -- Square ice
Dimensions
23 cm.
Extent
xv, 274 pages
Isbn
9780521666466
Isbn Type
(pbk.)
Lccn
99020232
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)40964741
  • (OCoLC)ocm40964741

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