[See also Invariant theory in combinatorics.]
--------------------------------------------------
1755 P. Alexandrov (ed.): Die Hilbertschen Probleme. Leipzig 1983.

3000 Armand Borel: Linear algebraic groups. Springer 1991.

3133 W. Borho/J.-L. Brylinski/R. MacPherson: Nilpotent orbits, primitive 
ideals, and characteristic classes. Birkhaeuser 1989.

A. Buium: Differential algebraic groups of finite dimension.
SLN Math. 1506 (1992).

3341 Claude Chevalley: Theorie des groupes de Lie II. Groupes algebriques.
Hermann 1951.

Claude Chevalley: Invariants of finite groups generated by reflections.
Am. J. Math. 77 (1955), 778-782.

Corrado De Concini/Claudio Procesi: The invariant theory of matrices. AMS 2017, 150p.

17430 Harm Derksen/Gregor Kemper: Computational invariant theory.
Springer 2002, 270p. $64.

Leonard Dickson: Algebraic invariants. Wiley 1914.

Jean Dieudonne'/James Carrell: Invariant theory. Academic Press 1971.

23275 Igor Dolgachev: Lectures on invariant theory. Cambridge UP 2004, 220p. Eur 51.

Daniel Farkas: Multiplicative invariants. Ens. Math. 30/1-2 (1984), 141-157.

Daniel Farkas: Toward multiplicative invariant theory.
Contemp. Math. AMS 43 (1985), 69-80.

Daniel Farkas: Reflection groups and multiplicative invariants.
Rocky Mount. J. Math. 16/2 (1986), 215-222.

17512 John Fogarty: Invariant theory. Benjamin 1969, 210p.

Edward Formanek/Claudio Procesi: Mumford's conjecture for the general linear 
group. Adv. Math. 19 (1976), 292-305.

M. Geck: An introduction to algebraic geometry and algebraic groups.
Oxford UP 2003, 310p. Pds 37.

2829 Francesco Gherardelli (ed.): Invariant theory. SLN Math. 996 (1983).

Roe Goodman/Nolan Wallach: Symmetry, representations and invariants.
Springer 2009, 720p. Eur 56.

John Grace/Alfred Young: The algebra of invariants. Cambridge UP 1903.

Frank Grosshans: The invariants of unipotent radicals of parabolic subgroups. 
Inv. Math. 73 (1983), 1-9.

William Haboush: Reductive groups are geometrically reductive.
Annals Math. 102 (1975), 67-83.

A. Hahn/O. O'Meara: The classical groups and K-theory.
Springer 1989, 590p. DM 198.

9663 Gu''nter Harder: Wittvektoren. Jber. DMV 99 (1997), 18-48.

David Hilbert: Ueber die vollen Invariantensysteme.
Math. Annalen 42 (1893), 313-373.

22110 David Hilbert: Theory of algebraic invariants.
Cambridge UP 2006, 190p. Eur 25.

5841 K.H. Hofmann: Besprechung des Buches "Lie groups and algebraic groups" 
von Onishchik/Vinberg. Jber. DMV 96 (1994), B9-15.

Roger Howe: Remarks on classical invariant theory.
Trans. AMS 313 (1989), 539-570, 318 (1990), 823.

22737 Yi Hu: Geometric invariant theory and birational geometry. Internet ca. 2006, 23p.

26488Evelyne Hubert/George Labahn: Computation of invariants of finite abelian
groups. Math. Comp. ... (2016), 22p.

455 James Humphreys: Linear algebraic groups. Springer 1981.

3141 Jens Jantzen: Representations of algebraic groups. 
Academic Press 1987. 

Victor Kac: Infinite root systems, representations of graphs and invariant 
theory. Inv. Math. 56 (1980), 57-92.

George Kempf: More on computing invariants.
SLN Math. 1479 (1991), 87-89. How to compute a set of generators for the 
ring of invariant functions in the case where the characteristic of the 
ground field is prime.

S. Koh (ed.): Invariant theory. Springer LN Math. 1278 (1988).

E. Kolchin: Differential algebraic groups. Academic Press 1985.

B. Kostant: A characterization of the classical groups.
Duke Math. J. 25 (1958), 107-123.

1442 Hanspeter Kraft: Geometrische Methoden in der Invariantentheorie.
Vieweg 1985.

22734 Hanspeter Kraft/Claudio Procesi: Classical invariant theory. Internet 1996, 128p.

Joseph Kung/Giancarlo Rota: The invariant theory of binary forms.
Bull. AMS 10 (1984), 27-85.

Bernard Leclerc: On identities satisfied by minors of a matrix.
Adv. Math. 100 (1993), 101-132. 

Kezheng Li: Actions of group schemes I.
Comp. Math. 80 (1991), 55-74.

20409 Peter Littelmann: Über Horns Vermutung, Geometrie, Kombinatorik
und Darstellungstheorie. Jber. DMV 110/2 (2008), 75-99.

17957 E. Looijenga/T. Springer: Peter Slodowy. Jber. DMV 108/2 (2006), 105-117.

2759 Ottmar Loos: On algebraic groups defined by Jordan pairs.
Nagoya Math. J. 74 (1979), 23-66. [2907]

Martin Lorenz: Multiplicative invariant theory. Springer 2005, 180p. $109.

25730 James Milne: Basic theory of affine group schemes. Internet 2012, 275p.

25735 James Milne: Reductive groups. Internet 2012, 80p.

25734 James Milne: Lie algebras, algebraic groups, and Lie groups. Internet 2013, 190p.

25733 James Milne: Algebraic groups. Internet 2014, 350p.

17418 Jürgen Müller: Invariant theory of finite groups. Internet 2004, 53p.
Good lecture notes.

6022 David Mumford/J. Fogarty/F. Kirwan: Geometric invariant theory.
Springer 1994.

Mara Neusel: Invariant theory. AMS 2007, 320p. $49.

Emmy Noether: Der Endlichkeitssatz der Invarianten endlicher linearer Gruppen 
der Charakteristik p. Goettinger Nachrichten (1926), 28-35.

22109 Peter Olver: Classical invariant theory.
Cambridge UP 1999, 280p. Eur 33.

22736 Peter Olver/Chehrzad Shakiban: Graph theory and classical invariant theory.
Adv. Math. 75 (1989), 212-245.

2754 A. Onishchik/Ernest Vinberg: Lie groups and algebraic groups.
Springer 1990. Goes very far, but in exercise-collection style.

5175 Karen Parshall: The one-hundredth anniversary of the death of invariant 
theory? Math. Intell. 12/4 (1990), 10-16. With a good bibliography.

A. Parshin/I. Shafarevich (ed.): Algebraic geometry IV. Linear algebraic 
groups, invariant theory. Springer 1994, 300p. 3-540-54682-0. DM 144.

18846 D. Passman: Review of the book "Multiplicative invariant theory"
by Martin Lorenz. Bull. AMS 44/1 (2007), 157-162.

Vladimir Platonov/Andrei Rapinchuk: Algebraic groups and number theory.
1993, 580p. Pds. 80.

Klaus Pommerening: U''ber die unipotenten Klassen reduktiver Gruppen I-II.
J. Algebra 49 (1977), 525-536; J. Algebra 65 (1980), 359-374.

Klaus Pommerening: Observable radizielle Untergruppen von halbeinfachen
algebraischen Gruppen. Math. Zeitschr. 165 (1979), 243-250.

Klaus Pommerening: Invarianten unipotenter Gruppen.
Math. Zeitschr. 176 (1981), 359-374.

Klaus Pommerening: Ordered sets with the standardizing property and
straightening laws for algebras of invariants. Adv. Math. 62 (1987), 271-290.

Klaus Pommerening: Invariants of unipotent groups. In Koh 1988, 8-17.

24631 Claudio Procesi: The invariant theory of nxn matrices. Adv. Math. 19 (1976), 306-381.

Claudio Procesi: Lie groups. Springer 2007, 600p. Eur 39.

3179 Lex Renner: Algebraic varieties and semigroups.
3178 Hofmann/Lawson/Pym, 81-101.

D. Saltman: Generic Galois extensions and problems in field theory.
Adv. Math. 43 (1982), 250-283.

2598 Issai Schur: Vorlesungen ueber Invariantentheorie. Springer 1968.

Conjeeveram Seshadri: On a theorem of Weitzenboeck in invariant theory.
J. Math. Kyoto Univ. 1 (1962), 403-409.

17431 Larry Smith: Polynomial invariants of finite groups. Peters 1995, 360p. Eur 104.

17403 Larry Smith: Polynomial invariants of finite groups - a survey of recent
developments. Bull. AMS 34/3 (1997), 211-250.

2995 Tonny Albert Springer: Jordan algebras and algebraic groups.
Springer 1973.

2545 Tonny Albert Springer: Linear algebraic groups. Birkha''user 1981.

Tonny Albert Springer: Invariant theory. Springer 1977.

17411 Richard Stanley: Invariants of finite groups and their applications in combinatorics.
Bull. AMS 1 (1979), 475-411.

R. Steinberg: Generateurs, relations et revetements de groupes algebriques. 
Coll. Theorie des Groupes Algebriques, Bruxelles 1962. Paris 1962, 113-127.

Eduard Study: Einleitung in die Theorie der Invarianten.
Vieweg 1933.

22108 Bernd Sturmfels: Algorithms in invariant theory.
Springer 2008, 200p. Eur 47.

2971 B. Sturmfels/N. White: Groebner bases and invariant theory.
Adv. Math. 76 (1989), 245-259.

Patrice Tauvel/Rupert Wei-tze Yu: Lie algebras and algebraic groups.
Springer 2005, 650p. Eur 70.

Herbert Turnbull: The theory of determinants, matrices, and invariants.
London 1945.

20695 V. Varadarajan: Review of the book "Lie groups"
by Claudio Procesi. Bull. AMS 45/4 (2008), 661-674.

Roland Weitzenboeck: Ueber die Invarianten von linearen Gruppen.
Acta Math. 58 (1932), 231-293.

Hermann Weyl: The classical groups. Princeton UP 1939.

Joerg Winkelmann: On discrete Zariski-dense subgroups of algebraic groups.
17 pages, plain TeX.

3140 Hiroshi Yanagihara: Theory of Hopf algebras attached to group schemes. 
SLN Math. 614 (1977).

Oscar Zariski: Interpretations algebro-geometriques du quatorzieme probleme de 
Hilbert. Bull. Sc. Math. 78 (1954), 155-168.

R. Zimmer: Ergodic theory and semisimple groups. Birkhaeuser 1984.