相关论文: Magic Squares of Lie Algebras
These are expanded notes of a two-semester course on Lie groups and Lie algebras given by the author at MIT.
This paper has been withdrawn by the author(s), due the final version in math.QA/0604564
This paper is a revised version of a previously posted paper in arxiv. The authors posted it as a new submission by mistake. The latest version of the paper can be found at arXiv:math-ph/0512003v2
A construction of the magic square, and hence of exceptional Lie algebras, is carried out using trialities rather than division algebras. By way of preparation, a comprehensive discussion of trialities is given, incorporating a number of…
There were some errors in paper hep-th/9303018 in formulas 6.1, 6.6, 6.8, 6.11. These errors have been corrected in the present version of this paper. There are also some minor changes in the introduction.
This is no longer available.
In this paper, we attempt to develop the Schreier theory for two special types extensions of multiplicative Lie algebras.
In this paper we investigate the problem of which Lie algebras appear as the derived algebra of a Lie algebra. We present new results that further develop this study and address two questions raised in a paper concerned with the…
A modified version of this paper is under process and with a new title and abstract. Hence, this version of the article is completely withdrawn.
This is a survey paper on Alegbraic Geometry over Lie Algebras
This is a survey on extended affine Lie algebras and related types of Lie algebras, which generalize affine Lie algebras.
This paper is withdrawn. A revised and expanded version of this work is available as hep-ph/9603323.
This paper has been withdrawn by the author due to that the main results and approaches are closedly parallel to the ones in Lie algebra case.
This paper is the third in a series of papers, the aim of which is to construct algebraic geometry over metabelian Lie algebras.
This paper has been withdrawn. The contents of this paper can now be found in 0907.3000, which combines the erstwhile 0901.2981 and 0901.2982 in a somewhat compact form.
The Lie algebras over the algebra of dual numbers are introduced and investigated.
This is a revised version of the preprint which has been available electronically for a while. The paper will now appear in J. Ramanujan Math. Soc.
The contents of this paper has been incorporated into math.CO/0308288.
Freudenthal's Magic Square, which in characteristic 0 contains the exceptional Lie algebras other than G2, is extended over fields of characteristic 3, through the use of symmetric composition superalgebras, to a larger square that contains…
Withdrawn; replaced by longer, more detailed paper quant-ph/0010065.