LEFT-SYMMETRIC ALGEBRAS AND COMPLETE LIE ALGEBRAS

REFERENCES

• Auslander , L. 1977 . Simply Transitive Groups of Affine Motions . Amer. J. Math. , 99 : 809 – 826 .
   Web of Science ®Google Scholar
• Bai , C.M. and Meng , D.J. 1996 . The Classification of Left-symmetric Algebra in Dimension 2, (in Chinese) . Chinese Science Bulletin , 23 : 2207
   Google Scholar
• Bai , C.M. and Meng , D.J. 1997 . Some Properties of Left-symmetric Algebras, (in Chinese) . Acta Sci. Nat. Uni. Nankai. , 30 ( 2 ) : 1 – 8 .
   Google Scholar
• Bai , C.M. and Meng , D.J. 1998 . On Bi-symmetric Algebras . Bulletin Institute of Mathematics Academia Sinica , 26 : 127 – 145 .
   Google Scholar
• Bai , C.M. and Meng , D.J. 2000 . The Structure of Bi-symmetric Algebras and their Sub-adjacent Lie Algebras . Communications in Algebra , 28 : 2717 – 2734 .
   Web of Science ®Google Scholar
• Baues , O. 1999 . Left-symmetric Algebras for . Trans. Amer. Math. Soc. , 351 : 2979 – 2996 .
   Web of Science ®Google Scholar
• Burde , D. 1996 . Left-invariant Affine Structures on Reductive Lie Groups . J. Algebra , 186 : 884 – 902 .
   Web of Science ®Google Scholar
• Burde , D. 1998 . Simple Left-symmetric Algebras with Solvable Lie Algebra . Manuscipta Math. , 95 : 397 – 411 .
   Web of Science ®Google Scholar
• Burde , D. 1998 . Left-invariant Affine Structures on Nilpotent Lie Groups Dusseldorf : Habilitationsschrift .
   Google Scholar
• Helmstetter , J. 1979 . Radical d'une Algebre Symetrique a Gauche . Ann. Inst. Fourier (Grenoble) , 29 : 17 – 35 .
   Google Scholar
• Humphreys , J.E. 1972 . Introduction to Lie Algebras and Representation Theory New York : Springer .
   Google Scholar
• Jacobson , N. 1962 . Lie Algebras New York : Wiley (Interscience) .
   Google Scholar
• Kim , H. 1986 . Complete Left-invariant Affine Structures on Nilpotent Lie Groups . J. Differential Geometry , 24 : 373 – 394 .
   Web of Science ®Google Scholar
• Kleinfeld , E. 1957 . Assosymmetric Rings . Proc. Amer. Math. Soc. , 8 : 983 – 986 .
   Google Scholar
• Kleinfeld , E. 1981 . On Rings Satisfying . Algebras, Groups and Geometries , 4 : 119 – 138 .
   Google Scholar
• Meng , D.J. 1994 . Some Results on Complete Lie Algebras . Communications in Algebra , 22 : 5457 – 5507 .
   Web of Science ®Google Scholar
• Meng , D.J. 1994 . Complete Lie Algebras and Heisenberg Algebras . Communications in Algebra , 22 : 5509 – 5524 .
   Web of Science ®Google Scholar
• Meng , D.J. , Jiang , C.P. and Zhu , L.S. 2001 . Complete Lie Algebras, (in Chinese) Beijing : Science Press .
   Google Scholar
• Meng , D.J. and Zhu , L.S. 1996 . Solvable Complete Lie Algebras I . Communications in Algebra , 24 : 4181 – 4197 .
   Web of Science ®Google Scholar
• Osborn , J.M. 1994 . Infinite-dimensional Novikov Algebras of Characteristic 0 . J. Algebra , 167 : 146 – 167 .
   Web of Science ®Google Scholar
• Perea , A.M. 1981 . Flat Left-invariant Connections Adapted to the Automorphism Structure of a Lie Group . J. Differential Geometry , 16 : 445 – 474 .
   Web of Science ®Google Scholar
• Schafer , R.D. 1949 . Inner Derivations of Non-associative Algebras . Bull. Amer. Math. Soc. , 55 : 604 – 614 .
   Web of Science ®Google Scholar
• Schafer , R.D. 1966 . An Introduction to Nonassociative Algebras New York : Academic Press .
   Google Scholar
• Schenkman , E.V. 1951 . A Theory of Subinvariant Lie algebras . Amer. J. Math. , 73 : 453 – 343 .
   Google Scholar
• Segal , D. 1992 . The Structure of Complete Left-symmetric Algebras . Math. Ann. , 293 : 569 – 578 .
   Web of Science ®Google Scholar
• Vinberg , E.B. 1963 . Convex Homogeneous Cones . Transl. of Moscow Math. Soc. , 12 : 340 – 403 .
   Google Scholar