Selected Works of Richard P. Stanley
Innbundet /
2017
/ Engelsk
Produktdetaljer
ISBN
9781470416829
Publisert
2017-06-30
Utgiver
American Mathematical Society
Vekt
1600 gr
Høyde
254 mm
Bredde
178 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
783
Biografisk notat
Patricia Hersh, North Carolina State University, Raleigh, NC, USA.Thomas Lam, University of Michigan, Ann Arbor, MI, USA.
Pavlo Pylyavskyy, University of Michigan, Ann Arbor, MI, USA.
Victor Reiner, University of Minnesota, Minneapolis, MN, USA.
Richard Stanley's work in combinatorics revolutionized and reshaped the subject. Many of his hallmark ideas and techniques imported from other areas of mathematics have become mainstays in the framework of modern combinatorics. In addition to collecting several of Stanley's most influential papers, this volume also includes his own short reminiscences on his early years, and on his celebrated proof of The Upper Bound Theorem.
Les mer
Richard Stanley's work in combinatorics revolutionized and reshaped the subject. In addition to collecting several of Stanley's most influential papers, this volume also includes his own short reminiscences on his early years, and on his celebrated proof of The Upper Bound Theorem.
Les mer
- The early years
- How the upper bound conjecture was proved
- Theory and application of plane partitions: Part 1
- Theory and application of plane partitions. Part 2
- Modular elements of geometric lattices
- Supersolvable lattices
- Linear homogeneous diophantine equations and magic labelings of graphs
- Acyclic orientations of graphs
- Combinatorial reciprocity theorems
- The upper bound conjecture and Cohen-Macaulay rings
- Combinatorial reciprocity theorems
- Binomial posets, Mobius inversion, and permutation enumeration
- Eulerian partitions of a unit hypercube, voir note ci-apres
- Hilbert functions of graded algebras
- The number of faces of a simplicial convex polytope
- Differential posets
- Weyl groups, the hard Lefschetz theorem, and the Sperner property
- Two combinatorial applications of the Aleksandrov-Fenchel inequalities
- Linear diophantine equations and local cohomology
- Some aspects of groups acting on finite posets
- with A. Bjorner and A. Garsia, An introduction to Cohen-Macaulay partially ordered sets
- An introduction to combinatorial commutative algebra
- On the number of reduced decompositions of elements of Coxeter groups
- A baker's dozen of conjectures concerning plane partitions
- Unimodality and Lie superalgebras
- Two poset polytopes
- Generalized $H$-vectors, intersection cohomology of toric varieties, and related results
- Differentiably finite power series
- Log-concave and unimodal sequences in algebra, combinatorics, and geometry
- Some combinatorial properties of Jack symmetric functions
- Subdivisions and local $h$-vectors
- with S. Billey and W. Jokusch, Some combinatorial properties of Schubert polynomials
- with S. Fomin, Schubert polynomials and the nilCoxeter algebra
- Flag $f$-vectors and the $cd$-index
- A symmetric function generalization of the chromatic polynomial of a graph
- Irreducible symmetric group characters of rectangular shape
- Increasing and decreasing subsequences and their variants
- Promotion and evacuation
- A conjectured combinatorial interpretation of the normalized irreducible character values of the symmetric group.
Les mer
Produktdetaljer
ISBN
9781470416829
Publisert
2017-06-30
Utgiver
American Mathematical Society
Vekt
1600 gr
Høyde
254 mm
Bredde
178 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
783
Biografisk notat
Patricia Hersh, North Carolina State University, Raleigh, NC, USA.Thomas Lam, University of Michigan, Ann Arbor, MI, USA.
Pavlo Pylyavskyy, University of Michigan, Ann Arbor, MI, USA.
Victor Reiner, University of Minnesota, Minneapolis, MN, USA.