J. Adams/D. Barbasch/D. Vogan: The Langlands classification and irreducible 
characters for real reductive groups. Birkhaeuser 1992, 320p. DM 80. 
"Dieses auf hoechstem mathematischen Niveau stehende Buch beschaeftigt sich 
mit einer zentralen mathematischen Fragestellung, der Klassifkation der 
unitaen Darstellungen der Gruppe der reellen Punkte einer zusammenhaengenden 
ueber den reellen Zahlen definierten reduktiven algebraischen Gruppe. ... 
Die Darstellung ist sehr klar und uebersichtlich  und auch gut verstaendlich 
(wenn man den hohen Schwierigkeitsgrad beruecksichtigt)" (Harald Rindler).

3343 H. Bacry: Lecons sur la theorie des groupes et les symetries des
particules elementaires. Gordon and Breach 1967.

V. Bargmann: Irreducible unitary representations of the Lorentz group.
Annals Math. 48 (1947), 568-640.

456 Theodor Bröcker/Tammo tom Dieck: Representations of compact Lie groups. 
Springer 1985.

23892 Arjeh Cohen: Group theory for maths, physics and chemistry students.
Internet 2007, 93p.

L. Corwin/F. Greenleaf: Representations of nilpotent Lie groups and their 
applications I. Cambridge UP 1990, 270p. $ 70.
A rather good book on Kirillov's orbit method, some typing errors.

18816 Manfred Einsiedler: Ratner's theorem on SL(2,R)-invariant measures.
Jber. DMV 108/3 (2006), 143-164.

P. Feinsilver/R. Schott: Algebraic structures and operator calculus I.
Kluwer 1993, 220p. DFL 150. "Dieses interessante, ausgezeichnet organisierte 
Buch verbindet Gebiete wie Darstellungstheorie von Liealgebren und Liegruppen,
Operatoralgebren, Kombinatorik, insbesondere hypergeometrische Funktionen, 
spezielle Polynome, nichtkommutative Wahrscheinlichkeitstheorie mit Bezuegen 
zur Physik (Fockraeume, Bozonen, die Oszillatoralgebra, Heisenbergrelationen
etc.), erzeugende Funktionen, Momentsysteme, Bernoulliprozesse u.ae., zu 
einer organischen Einheit. In einem geplanten zweiten Band werden Anwendungen 
in den Computerwissenschaften behandelt, in einem weiteren Band 
unendlich-dimensionale Liealgebren und Liegruppen." (Harald Rindler).

2723 Rainer Felix: Darstellungstheorie nilpotenter Lie-Gruppen. Ein 
distributionentheoretischer Zugang. Jber. DMV 93 (1991), 107-126.

21552 William Fulton/Joe Harris: Representation theory.
Springer 2004, 550p. Eur 42.

2838 Peter Gabriel: Unzerlegbare Darstellungen I. 
Man. Math. 6 (1972), 71-103. [2908]

R. Gangolli/V. Varadarajan: Harmonic analysis of spherical functions on real 
reductive groups. Springer 1988, 360p. DM 198.

26876 Karl-Heinz Goldhorn/Hans-Peter Heinz/Margarita Kraus: Moderne mathematische
Methoden der Physik II. Springer 2010, 340p. Eur 15 (Ebuch).

R. Goodman/N. Wallach: Representations and invariants of the classical
groups. Cambridge UP 1998, 690p. 0-521-58273-3. Pds. 65.
" ... this book will become an important reference work, but it will
also serve as an excellent textbook for various courses." (G. Kowol)

2996 James Green: Polynomial representations of GL(n).
Springer LN Math. 830 (1980).

18023 Benedict Gross/Mark Reeder: From Laplace to Langlands via representations
of orthogonal groups. Bull. AMS 43/2 (2006), 163-2005.

2834 Kenneth Gross: On the evolution of noncommutative harmonic analysis.
Am. Math. Monthly 85 (1978), 525-548. [2888]

1536 Wolfgang Hein: Struktur- und Darstellungstheorie der klassischen Gruppen.
Springer 1990.

2747 Rebecca Herb: Harish-Chandra and his work.
Bull. AMS 25 (1991), 1-17. [2908]

2757 Roger Howe: On the role of the Heisenberg group in harmonic analysis.
Bull. AMS 3 (1980), 821-843. [2908]

Roger Howe: Remarks on classical invariant theory.
Trans. AMS 313 (1989), 539-570.

6858 Roger Howe: Some simple examples in the representation theory of
semisimple Lie groups. Jber. DMV 96 (1995), 131-159.

574 A. Kirillov: Elements de la theorie des representations. Mir 1974.

A. Kirillov: Unitary representations of nilpotent Lie groups.
Math. Surveys 17 (1962), 53-104.

Anthony Knapp: Lie groups beyond an introduction.
Birkha''user 1996, 630p. 3-7643-3926-8. SFR 78.

21499 Yvette Kosmann-Schwarzbach: Groups and symmetries.
Springer 2010, 190p. Eur 40.

H. Leptin/J. Ludwig: Unitary representation theory of exponential Lie groups.
De Gruyter 1994, 200p. 3-11-013938-3. DM 198.

20616 G. Lyubarski: Anwendungen der Gruppentheorie in der Physik.
Dt. Vlg. Wiss. 1962, 330p.

2845 George Mackey: Harmonic analysis as the exploitation of symmetry.
Bull. AMS 3 (1980), 543-698. [2888]

2839 George Mackey: Infinite-dimensional group representations.
Bull. AMS 69 (1963), 628-686. [2888]

2818 George Mackey: Unitary group representations in physics, probability,
 and number theory. Benjamin 1978.

Z. Magyar: Continuous linear representations.
North-Holland 1992, 300p. 0-444-89072-6. Dfl 180.

C. Moegline/J.-L. Waldspurger: Decomposition spectrale et series d'Eisenstein.
Birkhaeuser 1994, 340p. "This important book deals with a deep problem both
in number and group representation theory: The decomposition of the space
L2(G\Q)\G(A), where G is a reductive group over Q and A is the ring of adeles
of Q." (Harald Rindler).

2771 C. Procesi: Aspetti geometrici e combinatori della teoria delle 
rappresentazioni del gruppo unitario. Pitagora 1991.

L. Pukansky: Lecons sur les representations des groupes. Dunod 1967.
Could be a good introduction to Kirillov's orbit method.

452 D. Sattinger/O. Weaver: Lie groups and algebras with applications to 
physics, geometry, and mechanics. Springer 1986.

8705 Peter Schneider: Geba''ude in der Darstellungstheorie u''ber lokalen
Zahlko''rpern. Jber. DMV 98 (1996), 135-145.

21555 Barry Simon: Representations of finite and compact groups.
AMS 1996, 280p. Eur 34.

2741 Birgit Speh: The unitary dual of GL(3,R) and GL(4,R).
Math. Annalen 258 (1981), 113-133.

2761 Elias Stein: Analytic continuation of group representations.
Yale UP 1971. [2908]

17056 Shlomo Sternberg: Group theory and physics. Cambridge UP 2003, 430p. $48.

M. Taylor: Noncommutative harmonic analysis. AMS 1986.

454 V. Varadarajan: Lie groups, Lie algebras, and their representations.
Springer 1984.

V. Varadarajan: An introduction to harmonic analysis on semisimple Lie groups.
Cambridge UP 1989, 320p. Useful, but many typoes.

2729 Michele Vergne: Representations of Lie groups and the orbit method.
2728 Srinivasan/Sully, 59-101. [2908]

N. Vilenkin/A. Klimyk: Representations of Lie groups and special functions. 
3 volumes. Kluwer 1993, 1800p. $ 800.
A monumental survey of the area. And a monumental price.
"Dieses dreibaendige Werk gehoert zweifellos zu den bedeutendsten
Standardwerken der letzten Zeit." (Harald Rindler).

2638 Ernest Vinberg: Linear representations of groups.
Birkhaeuser 1989. An easy to read introduction.

19733 David Vogan: The character table for E_8.
Notices AMS October 2007, 1122-1134.

17835 Max Wagner: Gruppentheoretische Methoden in der Physik. Vieweg 1998, 460p.

N. Wallach: Symplectic geometry and Fourier analysis. 
Math. Sci. Press 1977.

26418 ZZ: Group representations II. Internet, 65p.