Some Questions about Semisimple Lie Groups Originating in Matrix Theory

Canadian Mathematical Bulletin

Volumn 46, Issue 3, 2003, Pages 332-343

  Doković, Dragomir Ž ^a   Tam, Tin Yau ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b AUBURN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041914487     PISSN: 00084395     EISSN: None     Source Type: Journal    
DOI: 10.4153/CMB-2003-035-1     Document Type: Article

References (12)

1. Y. H. Au-Yeung and F. Y. Sing, A remark on the generalized numerical range of a normal matrix. Glasgow Math. J. 18(1977), 179-180.
2. N. Bourbaki, Groupes et algèbres de Lie, Chapitres 4, 5 et 6. Hermann, Paris, 1968.
3. _, Groupes et algèbres de Lie, Chapitres 7 et 8. Hermann, Paris, 1975.
4. W. S. Cheung and N. K. Tsing, The C-numerical range of matrices is star-shaped. Linear and Multilinear Algebra 41(1996), 245-250.
5. S. Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces. Academic Press, New York, 1978.
6. R. A. Horn and C. R. Johnson, Topics in Matrix Analysis. Cambridge University Press, 1991.
7. J. E. Humphreys, Introduction to Lie Algebras and Representation Theory. Springer-Verlag, New York 1972.
8. C. K. Li, Some convexity theorems for the generalized numerical ranges. Linear and Multilinear Algebra 40(1996), 235-240.
9. F. D. Murnaghan, On the unitary invariants of a square matrix. Anais Acad. Brasil. Ci. 26(1954), 1-7.
10. H. Nakazato, The C-numerical range of a 2 × 2 matrix. Sci. Rep. Hirosaki Univ. 41(1994), 197-206.
11. K. S. Sibirskiĩ;, The Algebraic Invariants of Differential Equations and Matrices. (Russian) Stiintsa, Kishinev, 1976.
12. T. Y. Tam, On the shape of numerical range associated with Lie groups. Taiwanese J. Math. 5(2001), 497-506.