Some Constructions in the Theory of Locally Finite Simple Lie Algebras

Journal of Lie Theory

Volumn 14, Issue 1, 2004, Pages 243-270

  Bahturin, Yuri ^a   Benkart, Georgia ^b  

^a MEMORIAL UNIVERSITY OF NEWFOUNDLAND   (Canada)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1542320699     PISSN: 09495932     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. Allison, B., G. Benkart, and Y. Gao, Central extensions of Lie algebras graded by finite root systems, Math. Ann. 316 (2000), 499-527.
2. r, r ≥ 2," Mem. Amer. Math. Soc.158 (2002) no. 751.
3. Bahturin, Y., and G. Benkart, Highest weight modules for locally finite Lie algebras, AMS/IP Stud, in Adv. Math. 4 (1997), 1-31.
4. Bahturin, Y., and H. Strade, Locally finite-dimensional simple Lie algebras, (Russian) Mat. Sb. 185 (1994), 3-32; (English) Russian Acad. Sci. Sb. Math. 81 (1995), 137-161.
5. Bahturin, Y., and H. Strade, Locally finite-dimensional simple Lie algebras, (Russian) Mat. Sb. 185 (1994), 3-32; (English) Russian Acad. Sci. Sb. Math. 81 (1995), 137-161.
6. _, Some examples of locally finite simple Lie algebras, Arch. Math. (Basel) 65 (1995), 23-26.
7. Baranov, A. A., Diagonal locally finite Lie algebras and a version of Ado's theorem, J. Algebra 199 (1998), 1-39.
8. _, Simple diagonal locally finite Lie algebras, Proc. London Math. Soc. 77 (1998), 362-386.
9. Baranov, A., and A. Zhilinski, Diagonal direct limits of simple Lie algebras, Comm. Algebra 27 (1998), 2249-2766.
10. Benkart, G., Derivations and invariant forms of Lie algebras graded by finite root systems, Canad. J. Math. 50 (1998), 225-241.
11. 1, J. Lie Theory 13 (2003), 91-132.
12. Benkart, G., and E. Zelmanov, Lie algebras graded by finite root systems and intersection matrix algebras, Invent. Math. 126 (1996), 1-45.
13. 2, Trans. Amer. Math. Soc. 347 (1995), 4315-4363.
14. Berman, S., and R. V. Moody, Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy, Invent. Math. 108 (1992), 323-347.
15. Garcia, E., and E. Neher, Jordan superpairs covered by grids and their Tits-Kantor-Koecher superalgebras, Preprint 2001; Jordan preprint archive: http://mathematik.uibk.ac.at/jordan/ (paper 98).
16. Goodearl, K., e-mail communication, unpublished.
17. Orsatti, A., and N. Rodinò, On the endomorphism ring of an infinite dimensional vector space, in: Abelian Groups and Modules, Padova 1994 (A. Facchini and C. Menini, Eds.), 395-417. Math. Appl. 343, Kluwer Acad. Publ. Dordrecht, 1995.
18. Seligman, G. B., "Rational Methods in Lie Algebras," Lect. Notes in Pure and Applied Math. 17 Marcel Dekker, New York 1976.
19. Yanson, I. A., and D. V. Zhdanovich, The set of the direct limits of Lie algebras of the type A, Comm. Algebra 24 (1996), 1125-1156.
20. Zhilinskii, A. G., Coherent finite-type systems of inductive families of nondiagonal inclusions.(Russian), Dokl. Akad. Nauk Belarusi 36 (1992), 9-13.