The Saga of Reduced Factorizations of Elements of the Symmetric Group pdf epub mobi txt 电子书 下载 2025
出版者:Universite du Quebec a Montreal
作者:Adriano Garsia
出品人:
页数:0
译者:
出版时间:2002
价格:0
装帧:Paperback
isbn号码:9782892762990
丛书系列:
图书标签:
- 组合数学
- 数学
- Symmetric Group
- Factorization
- Representation Theory
- Combinatorics
- Algebra
- Group Theory
- Mathematical Research
- Pure Mathematics
- Permutation Groups
- Algebraic Combinatorics
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作者简介
目录信息
Table of Contents
1. Reduced Factorizations..................................................5
1.1 Notation......................................................................5
1.2 The Matrix Approach........................................................12
2. Balanced Labelled Circle Diagrams..................................25
2.1 From Matrices to Tabloids....................................................25
2.2 Descents and Kevin Kadel’s ZIGZAGs .......................................33
2.3 Special Circle Diagrams......................................................37
2.4 The Lascoux-Schutzenberger Tree of a General Permutation ..................48
3. Symmetric Functions and Schubert Polynomials..................65
3.1 Stanley’sTheory of P-Partitions..............................................65
3.2 The Stanley Symmetric function of a Permutation ............................72
3.3 Divided Differences and Schubert Polynomials ..............................85
Appendix by David Little
4. A Combinatorial refinementof the Lascoux-Schutzenberger Tree..............103
4.1 The bijection. ...............................................................103
4.2 The Applet..................................................................107
4.3 The Schensted and Edelman-Greene correspondences as particular cases.....109
References.................................................................113
· · · · · · (收起)
1. Reduced Factorizations..................................................5
1.1 Notation......................................................................5
1.2 The Matrix Approach........................................................12
2. Balanced Labelled Circle Diagrams..................................25
2.1 From Matrices to Tabloids....................................................25
2.2 Descents and Kevin Kadel’s ZIGZAGs .......................................33
2.3 Special Circle Diagrams......................................................37
2.4 The Lascoux-Schutzenberger Tree of a General Permutation ..................48
3. Symmetric Functions and Schubert Polynomials..................65
3.1 Stanley’sTheory of P-Partitions..............................................65
3.2 The Stanley Symmetric function of a Permutation ............................72
3.3 Divided Differences and Schubert Polynomials ..............................85
Appendix by David Little
4. A Combinatorial refinementof the Lascoux-Schutzenberger Tree..............103
4.1 The bijection. ...............................................................103
4.2 The Applet..................................................................107
4.3 The Schensted and Edelman-Greene correspondences as particular cases.....109
References.................................................................113
· · · · · · (收起)
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