Weyl groups are finite - And other finiteness properties of Cartan subalgebras

Mathematische Nachrichten

Volumn 179, Issue , 1996, Pages 119-143

  Hofmann, Karl H ^a   Lawson, Jimmie D ^b   Ruppert, Wolfgang A F ^c  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF NATURAL RESOURCES AND LIFE SCIENCES   (Austria)

^c LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

Algebraic hull of a Lie algebra; Cartan subalgebra; Cartan subgroup; Lie algebra; Lie group; Weyl group; Zariski closure

Indexed keywords

EID: 0038867219     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.19961790109     Document Type: Article

References (9)

1. BOREL, A.: Linear Algebraic Groups, W. A. Benjamin, New York, 1969
2. BOURBAKI, N.: Groupes et Algèbres de Lie, Chap. VII et VIII, Paris, Hermann 1975
3. HOCHSCHILD, G. P.: Basic Theory of Algebraic Groups and Lie Algebras, Springer-Verlag, New York, 1981
4. HOFMANN, K. H.: Near Cartan Algebras and Groups, Seminar Sophus Lie 2 (1992), 135-151
5. HOFMANN, K. H., and RUPPERT, W. A. F.: On Porcupine Varieties in Lie Algebras, Math. Ann. 298 (1994), 403-425
6. _, Lie Semigroups with Surjective Exponential Function, Preprint Nr. 1621, März 1994, Technische Hochschule Darmstadt, 114 pp
7. _, The Structure of Lie Groups which Support Closed Divisible Subsemigroups, in: J. M. Howie, W. D. Munn, and H.-J. Weinert, Eds., Semigroups with Applications, World Scientific, Singapore, 1992, pp. 11-30
8. _, On Finiteness Theorems and Porcupine Varieties in Lie Algebras, Seminar Sophus Lie 3 (1994), 49-63
9. _, On Porcupine Varieties in Lie Algebras, Math. Ann. 298 (1994), 403-425