On the dimension of Kirichenko space
We introduce a notion of the Kirichenko space which is connected with the notion of Gorenstein matrix (see [2], ch. 14). Every element of Kirichenko space is an n × n matrix, whose elements are solutions of the equations ai,j +aj,σ(i) = ai,σ(i) ; a₁,i = 0 for i, j = 1, . . . , n determined by a...
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| Datum: | 2006 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2006
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/157355 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the dimension of Kirichenko space / M. Plakhotnyk // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 2. — С. 87–126. — Бібліогр.: 8 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We introduce a notion of the Kirichenko space
which is connected with the notion of Gorenstein matrix (see [2],
ch. 14). Every element of Kirichenko space is an n × n matrix,
whose elements are solutions of the equations ai,j +aj,σ(i) = ai,σ(i)
;
a₁,i = 0 for i, j = 1, . . . , n determined by a permutation σ which
has no cycles of the length 1. We give a formula for the dimension
of this space in terms of the cyclic type of σ. |
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