Inducing spherical representations of semi-simple Lie groups

Aleksander Strasburger

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1975

Abstract

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ContentsIntroduction............................................................................................................................................................................... 5Chapter I. Preliminaries and notations....................................................................................................................... 8    1. Manifolds—generalities................................................................................................. 8    2. Representations............................................................................................................. 8    3. Induced representations............................................................................................... 10    4. Elements of structure theory of semi-simple Lie groups........................................ 11    5. Homogoneous spaces of semi-simple Lie groups................................................ 12    6. Measures on G and its homogeneous spaces........................................................ 13    7. Invariant differential operators on homogeneous spaces...................................... 14Chapter II. Spherical representations and spherical functions—General results..................................................... 15Chapter III. Some representations in function spaces.................................................................................................... 19Chapter IV. Conical representations and conical distributions...................................................................................... 27Chapter V. Induced spherical representations................................................................................................................. 38References............................................................................................................................................................................... 46

How to cite

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Aleksander Strasburger. Inducing spherical representations of semi-simple Lie groups. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1975. <http://eudml.org/doc/268598>.

@book{AleksanderStrasburger1975,
abstract = {ContentsIntroduction............................................................................................................................................................................... 5Chapter I. Preliminaries and notations....................................................................................................................... 8    1. Manifolds—generalities................................................................................................. 8    2. Representations............................................................................................................. 8    3. Induced representations............................................................................................... 10    4. Elements of structure theory of semi-simple Lie groups........................................ 11    5. Homogoneous spaces of semi-simple Lie groups................................................ 12    6. Measures on G and its homogeneous spaces........................................................ 13    7. Invariant differential operators on homogeneous spaces...................................... 14Chapter II. Spherical representations and spherical functions—General results..................................................... 15Chapter III. Some representations in function spaces.................................................................................................... 19Chapter IV. Conical representations and conical distributions...................................................................................... 27Chapter V. Induced spherical representations................................................................................................................. 38References............................................................................................................................................................................... 46},
author = {Aleksander Strasburger},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Inducing spherical representations of semi-simple Lie groups},
url = {http://eudml.org/doc/268598},
year = {1975},
}

TY - BOOK
AU - Aleksander Strasburger
TI - Inducing spherical representations of semi-simple Lie groups
PY - 1975
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - ContentsIntroduction............................................................................................................................................................................... 5Chapter I. Preliminaries and notations....................................................................................................................... 8    1. Manifolds—generalities................................................................................................. 8    2. Representations............................................................................................................. 8    3. Induced representations............................................................................................... 10    4. Elements of structure theory of semi-simple Lie groups........................................ 11    5. Homogoneous spaces of semi-simple Lie groups................................................ 12    6. Measures on G and its homogeneous spaces........................................................ 13    7. Invariant differential operators on homogeneous spaces...................................... 14Chapter II. Spherical representations and spherical functions—General results..................................................... 15Chapter III. Some representations in function spaces.................................................................................................... 19Chapter IV. Conical representations and conical distributions...................................................................................... 27Chapter V. Induced spherical representations................................................................................................................. 38References............................................................................................................................................................................... 46
LA - eng
UR - http://eudml.org/doc/268598
ER -

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