Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Gram matrices and Stirling numbers of a class of diagram algebras, II
Репозиторій DSpace/Manakin
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| dc.contributor.author | Karimilla Bi, N. | |
| dc.contributor.author | Parvathi, M. | |
| dc.date.accessioned | 2023-02-25T14:47:49Z | |
| dc.date.available | 2023-02-25T14:47:49Z | |
| dc.date.issued | 2018 | |
| dc.identifier.citation | Gram matrices and Stirling numbers of a class of diagram algebras, II / N. Karimilla Bi, M. Parvathi // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 215–256. — Бібліогр.: 18 назв. — англ. | uk_UA |
| dc.identifier.issn | 1726-3255 | |
| dc.identifier.other | 2010 MSC: 16Z05 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/188360 | |
| dc.description.abstract | In the paper [6], we introduced Gram matrices for the signed partition algebras, the algebra of Z₂-relations and the partition algebras. (s₁, s₂, r₁, r₂, p₁, p₂)-Stirling numbers of the second kind are also introduced and their identities are established. In this paper, we prove that the Gram matrix is similar to a matrix which is a direct sum of block submatrices. As a consequence, the semisimplicity of a signed partition algebra is established. | uk_UA |
| dc.description.sponsorship | The authors would like to express their gratitude and sincere thanks to the referee for all his(her) valuable comments and suggestions which in turn made the paper easy to read. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут прикладної математики і механіки НАН України | uk_UA |
| dc.relation.ispartof | Algebra and Discrete Mathematics | |
| dc.title | Gram matrices and Stirling numbers of a class of diagram algebras, II | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
