ENGLISH

Stability of Heisenberg coefficients

By Li Ying

Book information

Year
2019
Language
english
Format
PDF
Filesize
651 kB (666880 bytes)
Pages
95\95
Time added
2019-09-22 17:02:09

Description

PhD thesis at Texas A&M University. Version 16, Jul 2019 ABSTRACT......Page 2 DEDICATION......Page 3 ACKNOWLEDGMENTS......Page 4 CONTRIBUTORS AND FUNDING SOURCES......Page 5 TABLE OF CONTENTS......Page 6 LIST OF TABLES......Page 8 Introduction......Page 9 Partitions......Page 10 Families of Symmetric Functions......Page 13 Young Tableaux......Page 17 Representations of Finite Groups......Page 22 Group Characters......Page 28 Representations of Symmetric Groups......Page 32 Frobenius Character Map......Page 39 Induction product......Page 42 Kronecker product......Page 43 Heisenberg product......Page 44 Classic Stability Result......Page 48 Stable Heisenberg Coefficients......Page 61 Generalized Stability......Page 66 Additive Matrices......Page 74 Conclusion......Page 81 REFERENCES......Page 82 APPENDIX Proof of the Associativity of the Heisenberg Product......Page 86 APPENDIX Another Proof of the Stability of Heisenberg coefficients......Page 92

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