Gram matrices and Stirling numbers of a class of diagram algebras, I
In this paper, we introduce Gram matrices for the signed partition algebras, the algebra of Z₂-relations and the partition algebras. The nondegeneracy and symmetic nature of these Gram matrices are establised. Also, (s₁, s₂, r₁, r₂, p₁, p₂)-Stirling numbers of the second kind for the signed parti...
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| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2018
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188349 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Gram matrices and Stirling numbers of a class of diagram algebras, I / N. Karimilla Bi, M. Parvathi // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 73-97. — Бібліогр.: 17 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-188349 |
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dspace |
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irk-123456789-1883492023-02-24T01:27:22Z Gram matrices and Stirling numbers of a class of diagram algebras, I N. Karimilla Bi Parvathi, M. In this paper, we introduce Gram matrices for the signed partition algebras, the algebra of Z₂-relations and the partition algebras. The nondegeneracy and symmetic nature of these Gram matrices are establised. Also, (s₁, s₂, r₁, r₂, p₁, p₂)-Stirling numbers of the second kind for the signed partition algebras, the algebra of Z₂-relations are introduced and their identities are established. Stirling numbers of the second kind for the partition algebras are introduced and their identities are established. 2018 Article Gram matrices and Stirling numbers of a class of diagram algebras, I / N. Karimilla Bi, M. Parvathi // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 73-97. — Бібліогр.: 17 назв. — англ. 1726-3255 2010 MSC: 16Z05. http://dspace.nbuv.gov.ua/handle/123456789/188349 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In this paper, we introduce Gram matrices for the signed partition algebras, the algebra of Z₂-relations and the partition algebras. The nondegeneracy and symmetic nature of these Gram matrices are establised. Also, (s₁, s₂, r₁, r₂, p₁, p₂)-Stirling numbers of the second kind for the signed partition algebras, the algebra of Z₂-relations are introduced and their identities are established. Stirling numbers of the second kind for the partition algebras are introduced and their identities are established. |
| format |
Article |
| author |
N. Karimilla Bi Parvathi, M. |
| spellingShingle |
N. Karimilla Bi Parvathi, M. Gram matrices and Stirling numbers of a class of diagram algebras, I Algebra and Discrete Mathematics |
| author_facet |
N. Karimilla Bi Parvathi, M. |
| author_sort |
N. Karimilla Bi |
| title |
Gram matrices and Stirling numbers of a class of diagram algebras, I |
| title_short |
Gram matrices and Stirling numbers of a class of diagram algebras, I |
| title_full |
Gram matrices and Stirling numbers of a class of diagram algebras, I |
| title_fullStr |
Gram matrices and Stirling numbers of a class of diagram algebras, I |
| title_full_unstemmed |
Gram matrices and Stirling numbers of a class of diagram algebras, I |
| title_sort |
gram matrices and stirling numbers of a class of diagram algebras, i |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2018 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188349 |
| citation_txt |
Gram matrices and Stirling numbers of a class of diagram algebras, I / N. Karimilla Bi, M. Parvathi // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 73-97. — Бібліогр.: 17 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
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AT nkarimillabi grammatricesandstirlingnumbersofaclassofdiagramalgebrasi AT parvathim grammatricesandstirlingnumbersofaclassofdiagramalgebrasi |
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2023-10-18T23:08:10Z |
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2023-10-18T23:08:10Z |
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