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Details for article 6 of 11 found articles
| Title: |
Elementary divisors of higher degree associated transformations |
| Author: |
Merris, Russell Pierce, Stephen |
| Appeared in: |
Linear & multilinear algebra |
| Paging: | Volume 1 (1973) nr. 3 pages 241-250 |
| Year: |
1973 |
| Contents: |
LetVbe complex inner product space of dimension n and let [image omitted] V be the space of m contravariant tensors over V. Given a subgroup G of Sm and an irreducible character x on G, we define a subspace [image omitted] . If T: V→ V is linear, let [image omitted] V be the mth Kronecker product of T. Then [image omitted] is invariant underΠ T and we let K(T) be the restriction of [image omitted] . In this paper we prove that if the rank of T is large enough, then the elementary divisors of K(T) are linear if and only if the elementary divisors of T are linear. This result has previously been proved only for the case that x is linear. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 6 of 11 found articles
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