For differential algebra see in the folder "Algebraic geometry".
---

23865 B. Aycock/A. Roe/J. Silverberg/A. Widom: Classical hamiltonian dynamics
and Lie group algebras. Internet 2008, 6p.

L. Bianchi: Lezioni sulla teoria dei gruppi continui finiti di trasformazioni.
Pisa 1918.

23831 George Bluman/J. Cole: Similarity methods for differential equations.
Springer 1974, 330p. Eur 17.

2998 George Bluman/Sukeyuki Kumei: Symmetries and differential
equations. Springer 1989.

23832 Lawrence Dresner: Applications of Lie's theory of ordinary and partial
differential equations. Inst. Phys. Publ. 1999, 220p. Eur 34.

N. Euler/Willi-Hans Steeb: Continuous symmetries, Lie algebras and 
differential equations. Bibl. Inst. 1992, 330p. 3-411-15391-1. DM 48.
Wegen der vielen Beispiele auch fuer den mit dem Stoff vertrauten Leser
wertvoll, einige sprachliche Ungereimtheiten im einfuehrenden Teil 
(G. Czichowski).

9702 Benno Fuchssteiner: Symmetrien bei partiellen Differentialgleichungen -
ein Anwendungsgebiet der Computeralgebra. Spektrum 1996/3, 102-104.

2840 Sigurdur Helgason: Invariant differential equations on homogeneous 
manifolds. Bull. AMS 83 (1977), 751-774.

2782 N. Hijligenberg/G. Post: Defining relations for Lie algebras of vector 
fields. Indag. Math. 2 (1991), 207-218.

18233 Peter Hydon: An introduction to symmetry methods in the solution of
differential equations in chemistry and chemical biology. Internet 2005, 20p.

23906 Peter Hydon: Symmetry methods for differential equations.
Cambridge UP 2000, 210p. Eur 45.

5894 Nail Ibragimov: Sophus Lie and harmony in mathematical physics, on the 
150th anniversary of his birth. Math. Intell. 1994/1, 20-28.
With many concrete examples!

Nail Ibragimov: Transformation groups applied to mathematical physics.
Reidel 1985.

Nail Ibragimov: Primer on the group analysis. Moscow 1989.

Nail Ibragimov: Essays in the group analysis of ordinary differential 
equations. Moscow 1991.

19006 Arieh Iserles: A brief introduction to Lie-group methods.
Internet ca. 2002, 21p.

23879 N. Islam/B. Islam/H. Mazumdar/J. Lahiri: Applications of the Lie groups
of transformations for an approximate solution of MHD flow of a visco-elastic
second grade fluid. Appl. Sci. 13 (2011), 65-73.

Michio Kuga: Galois' dream. Group theory and differential equations.
Birkha''user 1993, 160p. DM 62.

A. Leznov/M. Saveliev: Group-theoretical methods for integration of nonlinear 
dynamical systems. Birkha''user 1992, 290p. 3-7643-2615-8. SFR 198.

2821 J. Marsden: A group theoretic approach to the equations of plasma 
physics. Can. Math. Bull. 25 (1982), 129-142.

23947 T. Miwa/M. Jimbo/E. Date: Solitons - differential equations, symmetries
and infinite-dimensional algebras. Cambridge UP 2011, 110p. Eur 31.

23808 Peter Olver: Applications of Lie groups to differential equations.
Springer 2000, 510p. Eur 43.

Peter Olver: Equivalence, invariants, and symmetry.
Cambridge UP 1995, 530p. 0-521-47811-1. Pds. 25.
"... ist dem Autor eine hervorragende Darstellung und Aufarbeitung des
Stoffes geglu''ckt ... " (M. Oberguggenberger)

23846 Peter Olver: Differential invariant algebras. Contemp. Math. 549 (2011), 95-121.

L. Ovsiannikov: Group analysis of differential equations.
Academic Press 1982.

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

23867 Rudolf Schmid: Infinite-dimensional Lie groups with applications
to mathematical physics. J. Geom. Symmetry Phys. 1 (2004), 1-67.

Fritz Schwarz: Symmetries of differential equations.
SIAM Rev. 30 (1988), 450-481.

Fritz Schwarz: Algorithmic Lie theory for solving ordinary differential
equations. Preprint, ca. 1996.

H. Stephani: Differential equations. Their solution using symmetries.
Cambridge UP 1989.

O. Stormark: Lie's structural approach to PDE systems.
Cambridge UP 2000, 570p. Pds. 70.

23978 A. Vinogradov: Symmetries and conservation laws of partial differential
equations - basic notions and results. Acta Appl. Math. 15/3 (1989), 3-21.

2781 G. Webb/J. McKenzie: Similarity solutions of the nonlinear Landau 
damping equation  using Lie group analysis. 
IMA J. appl. Math. 47 (1991), 99-108.