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Real Subspaces of a Quaternion Vector Space

Published online by Cambridge University Press:  20 November 2018

Vlastimil Dlab  and
Claus Michael Ringel
Vlastimil Dlab
Affiliation:
Car let on University, Ottawa, Ontario
Claus Michael Ringel
Affiliation:
Car let on University, Ottawa, Ontario
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If UR is a real subspace of a finite dimensional vector space VC over the field C of complex numbers, then there exists a basis ﹛e1, … , en﹜ of VG such that

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 6 , 01 December 1978 , pp. 1228 - 1242
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Bernstejn, I. N., I. M., Gel'fand and Ponomarev, V. A., Coxeter functors and Gabriel1 s theorem, Uspechi Mat. Nauk 28 (1973), 19-38; translated in Russian Math. Surveys 28 (1973), 17–32.Google Scholar
2. Burau, W., Mehrdimensionale projective une hôhere Geometric (Deutscher Verlag der Wissenschaften, Berlin, 1961).Google Scholar
3. Curtis, W. C. and Reiner, I., Representation theory of finite groups and associative algebras, Interscience Publ., New-London, 1962).Google Scholar
4. Dlab, V. and Ringel, C. M., On algebras of finite representation type, J. Algebra 33 (1975), 306–394.Google Scholar
5. Dlab, V. and Ringel, C. M., Indecomposable representations of graphs and algebras, Memoirs of Amer. Math. Society No. 173 (Providence, 1976).Google Scholar
6. Dlab, V. and Ringel, C. M., Normal forms of real matrices with respect to complex similarity, Linear Algebra and Appl. 17 (1977), 107–124.Google Scholar
7. Gabriel, P., Indecomposable representations II, Symposia Math. 1st. Nat. Alta Mat. 11 (1973), 81–104.Google Scholar
8. Ringel, C. M., Representations of K-species and bimodules, J. Algebra 41 (1976), 269–302.Google Scholar