Locally finite Lie algebras with root decomposition

Archiv der Mathematik

Volumn 80, Issue 5, 2003, Pages 478-485

  Penkov, Ivan ^a   Strade, Helmut ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF HAMBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042414123     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-003-0791-3     Document Type: Article

References (9)

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3. Y. BAHTURIN and H. STRADE, Locally finite dimensional simple Lie algebras. Math. Sbr. 81, 137-161 (1995), in Russian.
4. N. BOURBAKI, Groupes et algèbres de Lie; Chap.I-III, VI-VII. Paris, 1971, 1972, 1975.
5. A. BARANOV and H. STRADE, Finitary Lie algebras. To appear in: J. Algebra.
6. I. DIMITROV and I. PENKOV, Weight modules of direct limit Lie algebras. Int. Math. Res. Not. 5, 223-249 (1999).
7. V. G. KAC, Infinite dimensional Lie algebras, 3rd edition. Cambridge 1990.
8. K. -H. NEEB, Integrable roots in split graded Lie algebras. J. Algebra 225, 534-580 (2000).
9. K. -H. NEEB and N. STUMME, On the classification of locally finite split simple Lie algebras. J. Reine Angew. Math. 533, 25-53 (2001).