The Resource Counting with Symmetric Functions

# Counting with Symmetric Functions

Label
Counting with Symmetric Functions
Title
Counting with Symmetric Functions
Creator
Contributor
Subject
Language
eng
Member of
MiAaPQ
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Developments in Mathematics
Series volume
v.43
Counting with Symmetric Functions
Label
Counting with Symmetric Functions
Publication
Related Contributor
Related Location
Related Agents
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Related Items
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface -- Contents -- 1 Permutations, Partitions, and Power Series -- 1.1 Permutations and Rearrangements -- 1.2 Integer Partitions and Tableaux -- 1.3 Generating Functions -- Exercises -- Solutions -- Notes -- 2 Symmetric Functions -- 2.1 Standard Bases for Symmetric Functions -- 2.2 Relationships Between Bases for Symmetric Functions -- 2.3 Transition Matrices -- 2.4 A Scalar Product -- 2.5 The &#x7d; Transformation -- Exercises -- Solutions -- Notes -- 3 Counting with the Elementary and Homogeneous Symmetric Functions -- 3.1 Counting Descents -- 3.2 Changing Brick Labels -- Exercises -- Solutions -- Notes -- 4 Counting with Nonstandard Bases -- 4.1 The Basis p&#x70;,&#x6e; -- 4.2 Counting with the Elementary and p&#x70;,n -- 4.3 Recurrences -- 4.4 The Exponential Formula -- 4.5 Weighting Multiple Bricks -- Exercises -- Solutions -- Notes -- 5 Counting with RSK -- 5.1 Row Insertion -- 5.2 The RSK Algorithm -- 5.3 Weakly Increasing Subsequences in Words -- 5.4 Paths in Permutation Matrices -- 5.5 Permutation Statistics from the Cauchy Kernel -- 5.6 Hooks -- Exercises -- Solutions -- Notes -- 6 Counting Problems That Involve Symmetry -- 6.1 Pólya's Enumeration Theorem -- 6.2 The Cycle Index Polynomial and Schur Functions -- Exercises -- Solutions -- Notes -- 7 Consecutive Patterns -- 7.1 Nonoverlapping Consecutive Patterns -- 7.2 Clusters -- 7.3 The Minimal Overlapping Property -- 7.4 Minimal Overlapping Patterns in Cycles -- 7.5 Minimal Overlapping Patterns in Words -- 7.6 Minimal Overlapping Patterns in Alternating Permutations -- Exercises -- Solutions -- Notes -- 8 The Reciprocity Method -- 8.1 The Reciprocity Method for Pattern AvoidingPermutations -- Exercises -- Solutions -- Notes -- Appendix A Transition Matrices -- References -- Index
Dimensions
unknown
{'f': 'http://opac.lib.rpi.edu/record=b4384524'}
Extent
1 online resource (297 pages)
Form of item
online
Isbn
9783319236186
Media category
computer
Media MARC source
rdamedia
Media type code
c
Sound
unknown sound
Specific material designation
remote

#### Library Locations

• Folsom Library
110 8th St, Troy, NY, 12180, US
42.729766 -73.682577