Representation of algebraic groups preserving quaternion skew-hermitian forms
HTML articles powered by AMS MathViewer
- by Frank Grosshans
- Proc. Amer. Math. Soc. 24 (1970), 497-501
- DOI: https://doi.org/10.1090/S0002-9939-1970-0252401-3
- PDF | Request permission
References
- Claude C. Chevalley, The algebraic theory of spinors, Columbia University Press, New York, 1954. MR 0060497, DOI 10.7312/chev93056
- Frank Grosshans, Othogonal representations of algebraic groups, Trans. Amer. Math. Soc. 137 (1969), 519–531. MR 260755, DOI 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 10.1016/0021-8693(64)90024-9
- 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 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 10.1007/BF02395046
Bibliographic Information
- © Copyright 1970 American Mathematical Society
- 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