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A General Theory of Canonical Forms

✍ Scribed by Richard S. Palais and Chuu-Lian Terng


Book ID
125692666
Publisher
American Mathematical Society
Year
1987
Tongue
English
Weight
473 KB
Volume
300
Category
Article
ISSN
0002-9947

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A General Theory of Canonical Induction
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So far there exist three independent constructions of two different canonical versions of Brauer's induction theorem for complex characters due to V. Snaith, P. Symonds, and the author. ''Canonical'' in this context means functorial with respect to restrictions along group homomorphisms. In this art

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The notion of S S-algebra is introduced. The theory of apolarity and generic canonical forms for polynomials is generalized to S S-algebras over the complex field ‫.ރ‬ We apply this theory to the problem of finding the essential rank of general, symmetric, and skew-symmetric tensors. Upper bounds fo