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Some analytic and geometric applications of the invariant theoretic method

Published online by Cambridge University Press:  22 January 2016

Hisasi Morikawa
Hisasi Morikawa*
Affiliation:
Nagoya University
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Determinant is a most useful tool in every branch of mathematics, especially in linear mathematics. What kind of quantities do take a similar universal important role as determinant, in advanced branches of mathematics? In the present articles, showing the usefulness of semi-invariants in the classical invariant theory, we shall give a partial answer of the above question.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 80 , December 1980 , pp. 1 - 47
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

References

[ 1 ] Morikawa, H., Invariant theory (in Japanese), Kinokuniya (1977).Google Scholar
[ 2 ] Rankin, R. A., The construction of automorphic forms from the derivatives of a given form, J. Indian Math. Soc. 20 (1956), 103–116.Google Scholar
[ 3 ] Schur, I., Vorlesungen über Invariantentheorie, Springer (1968).Google Scholar
[ 4 ] Wilczynski, E. J., Projective differential geometry of curves and ruled surfaces, Chelsea (1961).Google Scholar
[ 5 ] Morikawa, H., On differential invariants of holomorphic projective curves, Nagoya Math. J. 77 (1980), 75–87.Google Scholar