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On the construction of a class of invariant polynomials in several matrices, extending the zonal polynomials

✍ Scribed by A. W. Davis

Publisher
Springer Japan
Year
1981
Tongue
English
Weight
739 KB
Volume
33
Category
Article
ISSN
0020-3157

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πŸ“œ SIMILAR VOLUMES

The number of nonconstant invariant poly
The number of nonconstant invariant polynomials of matrices with several prescribed blocks
✍ GlΓ³ria Cravo; Fernando C. Silva πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 107 KB

Consider a n Γ— n matrix partitioned into k Γ— k blocks: C = [C i,j ], where C 1,1 , . . . , C k,k are square. This paper studies the possible numbers of nonconstant invariant polynomials of C when a diagonal of blocks C i,j is fixed and the others vary.