A geometric construction of the discrete series for semisimple Lie groups

Michael Atiyah; Wilfried Schmid

doi:10.1007/bf01408936

A geometric construction of the discrete series for semisimple Lie groups

Inventiones mathematicae ◽

10.1007/bf01408936 ◽

1979 ◽

Vol 54 (2) ◽

pp. 189-192 ◽

Cited By ~ 3

Author(s):

Michael Atiyah ◽

Wilfried Schmid

Keyword(s):

Lie Groups ◽

Discrete Series ◽

Geometric Construction ◽

Semisimple Lie Groups

Erratum to the Paper: A Geometric Construction of the Discrete Series for Semisimple Lie Groups

Harmonic Analysis and Representations of Semisimple Lie Groups ◽

10.1007/978-94-009-8961-0_8 ◽

1980 ◽

pp. 379-383

Author(s):

Michael Atiyah ◽

Wilfried Schmid

Keyword(s):

Lie Groups ◽

Discrete Series ◽

Geometric Construction ◽

Semisimple Lie Groups

A Geometric Construction of the Discrete Series for Semisimple Lie Groups

Harmonic Analysis and Representations of Semisimple Lie Groups ◽

10.1007/978-94-009-8961-0_7 ◽

1977 ◽

pp. 317-378

Author(s):

Michael Atiyah ◽

Wilfried Schmid

Keyword(s):

Lie Groups ◽

Discrete Series ◽

Geometric Construction ◽

Semisimple Lie Groups

A geometric construction of the discrete series for semisimple Lie groups

Inventiones mathematicae ◽

10.1007/bf01389783 ◽

1977 ◽

Vol 42 (1) ◽

pp. 1-62 ◽

Cited By ~ 82

Author(s):

Michael Atiyah ◽

Wilfried Schmid

Keyword(s):

Lie Groups ◽

Discrete Series ◽

Geometric Construction ◽

Semisimple Lie Groups

Multiplicity One Theorems for Generalized Gelfand–Graev Representations of Semisimple Lie Groups and Whittaker Models for the Discrete Series

Representations of Lie Groups, Kyoto, Hiroshima, 1986 ◽

10.2969/aspm/01410031 ◽

2018 ◽

Cited By ~ 2

Author(s):

Hiroshi Yamashita

Keyword(s):

Lie Groups ◽

Discrete Series ◽

Semisimple Lie Groups ◽

Multiplicity One ◽

Whittaker Models

Discrete Series for Semisimple Lie Groups. II

Collected Papers ◽

10.1007/978-1-4899-7407-5_66 ◽

1984 ◽

pp. 1643-1753

Author(s):

Harish-Chandra

Keyword(s):

Lie Groups ◽

Discrete Series ◽

Semisimple Lie Groups

Explicit form of the characters of discrete series representations of semisimple Lie groups

Proceedings of Symposia in Pure Mathematics - Harmonic Analysis on Homogeneous Spaces ◽

10.1090/pspum/026/0404529 ◽

1973 ◽

pp. 281-287 ◽

Cited By ~ 9

Author(s):

Takeshi Hirai

Keyword(s):

Lie Groups ◽

Explicit Form ◽

Discrete Series ◽

Semisimple Lie Groups ◽

Series Representations ◽

Discrete Series Representations

Geometric quantization and UIR’s of semisimple Lie groups. II. Discrete series

Journal of Mathematical Physics ◽

10.1063/1.525404 ◽

1982 ◽

Vol 23 (4) ◽

pp. 481-483 ◽

Cited By ~ 1

Author(s):

B. R. Sitaram ◽

K. C. Tripathy

Keyword(s):

Lie Groups ◽

Discrete Series ◽

Geometric Quantization ◽

Semisimple Lie Groups

Embeddings of discrete series into induced representations of semisimple Lie groups, I

Japanese journal of mathematics ◽

10.4099/math1924.16.31 ◽

1990 ◽

Vol 16 (1) ◽

pp. 31-95 ◽

Cited By ~ 5

Author(s):

Hiroshi YAMASHITA

Keyword(s):

Lie Groups ◽

Discrete Series ◽

Semisimple Lie Groups ◽

Induced Representations

The embeddings of the discrete series in the principal series for semisimple Lie groups of real rank one

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1980-0580893-x ◽

1980 ◽

Vol 261 (2) ◽

pp. 303-303 ◽

Cited By ~ 7

Author(s):

M. Welleda Baldoni Silva

Keyword(s):

Lie Groups ◽

Discrete Series ◽

Principal Series ◽

Real Rank ◽

Semisimple Lie Groups ◽

Rank One

The Embeddings of the Discrete Series in the Principal Series for Semisimple Lie Groups of Real Rank One

Transactions of the American Mathematical Society ◽

10.2307/1998370 ◽

1980 ◽

Vol 261 (2) ◽

pp. 303 ◽

Cited By ~ 1

Author(s):

M. Welleda ◽

Baldoni Silva

Keyword(s):

Lie Groups ◽

Discrete Series ◽

Principal Series ◽

Real Rank ◽

Semisimple Lie Groups ◽

Rank One