Representation of algebraic groups preserving quaternion skew-hermitian forms
Author:
Frank Grosshans
Journal:
Proc. Amer. Math. Soc. 24 (1970), 497-501
MSC:
Primary 14.50
DOI:
https://doi.org/10.1090/S0002-9939-1970-0252401-3
MathSciNet review:
0252401
Full-text PDF Free Access
References | Similar Articles | Additional Information
- Claude C. Chevalley, The algebraic theory of spinors, Columbia University Press, New York, 1954. MR 0060497
- Frank Grosshans, Othogonal representations of algebraic groups, Trans. Amer. Math. Soc. 137 (1969), 519–531. MR 260755, DOI https://doi.org/10.1090/S0002-9947-1969-0260755-3 ---, Real orthogonal representations of algebraic groups (to appear).
- N. Jacobson, Clifford algebras for algebras with involution of type $D$, J. Algebra 1 (1964), 288–300. MR 168589, DOI https://doi.org/10.1016/0021-8693%2864%2990024-9
- Ichirô Satake, On a certain invariant of the groups of type $E_{6}$ and $E_{7}$, J. Math. Soc. Japan 20 (1968), 322–335. MR 227174, DOI https://doi.org/10.2969/jmsj/02010322 ---, Quaternion skew-hermitian forms and Clifford algebras, Lecture Notes for the National Science Foundation Advanced Science Seminar on Algebraic Number Theory, Bowdoin College, Brunswick, Maine, 1966.
- Ichirô Satake, Symplectic representations of algebraic groups satisfying a certain analyticity condition, Acta Math. 117 (1967), 215–279. MR 215859, DOI https://doi.org/10.1007/BF02395046
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 14.50
Retrieve articles in all journals with MSC: 14.50
Additional Information
Article copyright:
© Copyright 1970
American Mathematical Society