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Proceedings of the American Mathematical Society

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A vector field with one zero on $ G/P$

Author: Ersan Akyildiz
Journal: Proc. Amer. Math. Soc. 67 (1977), 32-34
MSC: Primary 14F25; Secondary 32L05
MathSciNet review: 0457442
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Abstract: We will give a $ {G_a}$-action on G/P with only one fixed point, where G is a connected linear algebraic group defined over an algebraically closed field k of characteristic zero and P is a parabolic subgroup of G.

References [Enhancements On Off] (What's this?)

  • [1] E. Akyildiz, Ph.D. Thesis, Univ. of British Columbia, Vancouver, B. C., 1977.
  • [2] J. B. Carrell and D. Lieberman, Vector fields and Chern numbers, Math. Ann. 225 (1977), 263-273. MR 0435456 (55:8416)
  • [3] J. E. Humphreys, Linear algebraic groups, Springer-Verlag, Berlin and New York, 1975. MR 0396773 (53:633)

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Keywords: Vector field, linear algebraic group, parabolic subgroup
Article copyright: © Copyright 1977 American Mathematical Society

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