Home  Pure_And_Applied_Math  Lie Algebra 
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1. SemiSimple Lie Algebras And Their Representations Book for particle physicists by Robert N. Cahn. Published by BenjaminCummings in 1984. Chapters in PostScript. http://wwwphysics.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/liehome.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://wwwusers.york.ac.uk/~gwd2/qlie.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://wwwcgi.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 28dimensionalgrade2 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 INFINITEDIMENSIONAL 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/liemap.htm  

18. Weyl Groups ADE Series of lie algebras the root vectors of the 24+4 = 28dimensional D4 lie algebra; two 4dimensional 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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