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Lie Algebra:

Lie Groups and Lie Algebras: Chapters 4-6 (Elements of Mathematics) by Nicolas Bourbaki, April, 2002 Lie Groups Beyond an Introduction by Anthony W. Knapp, 15 June, 2002 Lie Algebras with Triangular Decompositions by Robert V. Moody, Arturo Pianzola, April, 1995 Lie Groups for Pedestrians by Harry J. Lipkin, July, 2002 Lectures on Lie Groups by J. Frank Adams, Frank J. Adams, January, 1983 Lie Groups, Lie Algebras and Their Representations by V. S. Varadarajan, October, 1999 Lie Groups, Lie Algebras, and Representations by Brian K. Hall, 18 July, 2003 Infinite-Dimensional Lie Algebras by Victor G. Kac, August, 1994 Lie Algebras by Nathan Jacobson, November, 1979 Representation Theory: A First Course (Graduate Texts in Mathematics, No. 129) by William Fulton, Joe Harris, September, 1991

1. Semi-Simple Lie Algebras And Their Representations
   Book for particle physicists by Robert N. Cahn. Published by BenjaminCummings in 1984. Chapters in PostScript.  
   http://www-physics.lbl.gov/~rncahn/book.html

2. Lie Algebra -- From MathWorld
   lie algebra, A nonassociative algebra obeyed by objects such as the Lie bracket andPoisson bracket. Elements f, g, and h of a lie algebra satisfy, (1).  
   http://mathworld.wolfram.com/LieAlgebra.html

3. Lie Algebra - Home
   pages are devoted to a new way of viewing a lie algebra. The successes of such methods as symplectic geometry, Kirillov  
   http://www.math.siu.edu/kocik/lie/lie-home.htm

4. Quantum Lie Algebras
   Current status of research on Quantum lie algebras and bibliography. Includes Mathematica notebooks for calculations and animations of quantum root systems.  
   http://www-users.york.ac.uk/~gwd2/q-lie.html

5. Lie Algebra Root -- From MathWorld
   Math Contributors , Rowland v. lie algebra Root, The roots of a semisimple Liealgebra are the lie algebra weights occurring in its adjoint representation.  
   http://mathworld.wolfram.com/LieAlgebraRoot.html

6. What IS A Lie Group?
   An example of a solvable Lie group is the nilpotent Lie group that can be formedfrom the nilpotent lie algebra of upper triangular NxN real matrices.  
   http://www.innerx.net/personal/tsmith/Lie.html

7. Lie Algebra
   a basis of a lie algebra. Properties lie algebra vector space with dim = dim of corresponding group. lie algebra  
   http://www-cgi.cs.cmu.edu/People/jcl/classnotes/math/group_theory/lie_algebra.ht

8. Lie Algebra E8 From Clifford Algebra Cl(8)
   Tony Smith's Home Page. E8 lie algebra from Clifford Algebra Cl(8). The 28dimensionalgrade-2 bivectors of Cl(8) form the lie algebra Spin(8).  
   http://www.innerx.net/personal/tsmith/E8fromClif8.html

9. Midatl.html
   Topics DownUp Algebras; Extended Affine lie algebras. Virginia Tech, Blacksburg; 1011 March 2001.  
   http://www.math.vt.edu/people/farkas/midatl.html

10. LECTURES ON INFINITE-DIMENSIONAL LIE ALGEBRA
    LECTURES ON INFINITEDIMENSIONAL lie algebra by Minoru Wakimoto (Kyushu University,Japan) The representation theory of affine lie algebras has been developed  
    http://www.wspc.com/books/mathematics/4269.html

11. The Algebra Group Of The LUC
    LUC Algebra Group. Major areas of research include Noncommutative geometry; Invariant theory; Group algebras and Schur algebras; lie algebra; Maximal orders.  
    http://alpha.luc.ac.be/Research/Algebra/

12. When Is A Lie Algebra Not A Lie Algebra?
    When is a lie algebra not a lie algebra? We look at weight systems on Feynman diagrams. A metric lie algebra gives one example of a weight system.  
    http://www.maths.ox.ac.uk/~sawon/lie_alg_obj.shtml

13. Lie Algebra - Wikipedia
    lie algebra. Examples. Every vector space becomes a (rather uninteresting)lie algebra if we define the Lie bracket to be identically zero.  
    http://www.wikipedia.org/wiki/Lie_algebra

14. Lie Algebra
    lie algebra. see also lie algebra , Lie Groups. Jacobson, Nathan. LieAlgebras. New York Dover, 1979. 331 p. $7.95. Mikhalev, Alexander  
    http://www.ericweisstein.com/encyclopedias/books/LieAlgebra.html

15. A Monster Lie Algebra? R. E. Borc Herds, J. H. Con W A Y , L. Queen
    A Monster lie algebra? R. E. Borcherds, J. H. Conway, L. Queen and N. J. A. Sloane A version of this paper was originally published in Advances in Mathematics, vol. (1984), no. 1, pp. 7579.  
    http://www.research.att.com/~njas/doc/bcqs.pdf

16. Victor Ginzburg - Principal Nilpotent Pairs In A Semisimple Lie Algebra
    of pairs of commuting nilpotent elements in a semisimple lie algebra. These pairs enjoy quite remarkable properties and  
    http://www.cms.math.ca/Events/winter99/abstracts/node59.html

17. Maps Of Lie Algebra
    What is a lie algebra, really. A geometric view. These maps can be put intoone diagram graph of a Lie map This is the mandala of a lie algebra.  
    http://www.math.siu.edu/kocik/lie/lie-map.htm

18. Weyl Groups
    AD-E Series of lie algebras the root vectors of the 24+4 = 28-dimensional D4 lie algebra; two 4-dimensional HyperOctahedra, lying (in a 5th  
    http://www.innerx.net/personal/tsmith/Weyl.html

19. PlanetMath: Lie Algebra
    lie algebra, (Definition). A lie algebra over a field is a vectorspace with a bilinear map , called the Lie bracket and denoted .  
    http://planetmath.org/encyclopedia/LieAlgebra.html

20. Lie Algebra Research
    lie algebra research. My main area of research is in the wonderfulworld of lie algebras, where I mostly inhabit the outer fringes  
    http://it.stlawu.edu/~dmelvill/17b/

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