Algebraic structures and operator calculus: 3 Representations of Lie groups
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht u.a.
Kluwer
1996
|
| Schriftenreihe: | Mathematics and its applications
347 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 228 S. |
| ISBN: | 0792338340 |
Internformat
MARC
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| 100 | 1 | |a Feinsilver, Philip J. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Algebraic structures and operator calculus |n 3 |p Representations of Lie groups |c by Philip Feinsilver and René Schott |
| 264 | 1 | |a Dordrecht u.a. |b Kluwer |c 1996 | |
| 300 | |a IX, 228 S. | ||
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| 490 | 1 | |a Mathematics and its applications |v 347 | |
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Datensatz im Suchindex
| _version_ | 1804125358779269120 |
|---|---|
| adam_text | Table of Contents
Preface ix
Introduction
I. General remarks 1
II. Notations 5
III. Lie algebras: some basics 8
Chapter 1 Operator calculus and Appell systems
I. Boson calculus 17
II. Holomorphic canonical calculus 18
III. Canonical Appell systems 23
Chapter 2 Representations of Lie groups
I. Coordinates on Lie groups 28
II. Dual representations 29
III. Matrix elements 37
IV. Induced representations and homogeneous spaces 40
Chapter 3 General Appell systems
I. Convolution and stochastic processes 44
II. Stochastic processes on Lie groups 46
III. Appell systems on Lie groups 49
Chapter 4 Canonical systems in several variables
I. Homogeneous spaces and Cartan decompositions 54
II. Induced representation and coherent states 62
III. Orthogonal polynomials in several variables 68
Chapter 5 Algebras with discrete spectrum
I. Calculus on groups: review of the theory 83
II. Finite difference algebra 85
III. q HW algebra and basic hypergeometric functions 89
IV. su2 and Krawtchouk polynomials 93
V. e2 and Lommel polynomials 101
Chapter 6 Nilpotent and solvable algebras
I. Heisenberg algebras 113
II. Type H Lie algebras 118
vii
III. Upper triangular matrices 125
IV. Affine and Euclidean algebras 127
Chapter 7 Hermitian symmetric spaces
I. Basic structures 131
II. Space of rectangular matrices 133
HI. Space of skew symmetric matrices 136
IV. Space of symmetric matrices 143
Chapter 8 Properties of matrix elements
I. Addition formulas 147
II. Recurrences 148
III. Quotient representations and summation formulas 149
Chapter 9 Symbolic computations
I. Computing the pi matrices 153
II. Adjoint group 154
III. Recursive computation of matrix elements 154
IV. Symbolic computation of Appell systems 155
MAPLE output and procedures 157
References 221
Index 225
viii
|
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| id | DE-604.BV010870974 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:00:18Z |
| institution | BVB |
| isbn | 0792338340 |
| language | English |
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| physical | IX, 228 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Feinsilver, Philip J. Verfasser aut Algebraic structures and operator calculus 3 Representations of Lie groups by Philip Feinsilver and René Schott Dordrecht u.a. Kluwer 1996 IX, 228 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 347 Mathematics and its applications ... Schott, René Verfasser aut (DE-604)BV006620483 3 Mathematics and its applications 347 (DE-604)BV008163334 347 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007267305&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Feinsilver, Philip J. Schott, René Algebraic structures and operator calculus Mathematics and its applications |
| title | Algebraic structures and operator calculus |
| title_auth | Algebraic structures and operator calculus |
| title_exact_search | Algebraic structures and operator calculus |
| title_full | Algebraic structures and operator calculus 3 Representations of Lie groups by Philip Feinsilver and René Schott |
| title_fullStr | Algebraic structures and operator calculus 3 Representations of Lie groups by Philip Feinsilver and René Schott |
| title_full_unstemmed | Algebraic structures and operator calculus 3 Representations of Lie groups by Philip Feinsilver and René Schott |
| title_short | Algebraic structures and operator calculus |
| title_sort | algebraic structures and operator calculus representations of lie groups |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007267305&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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