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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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2018 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2018
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| Онлайн доступ: | https://nasplib.isofts.kiev.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| _version_ | 1862738835054526464 |
|---|---|
| author | N. Karimilla Bi Parvathi, M. |
| author_facet | N. Karimilla Bi Parvathi, M. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T20:05:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188349 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:05:51Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | N. Karimilla Bi Parvathi, M. 2023-02-23T19:28:58Z 2023-02-23T19:28:58Z 2018 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. https://nasplib.isofts.kiev.ua/handle/123456789/188349 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. 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Gram matrices and Stirling numbers of a class of diagram algebras, I Article published earlier |
| spellingShingle | Gram matrices and Stirling numbers of a class of diagram algebras, I N. Karimilla Bi Parvathi, M. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188349 |
| work_keys_str_mv | AT nkarimillabi grammatricesandstirlingnumbersofaclassofdiagramalgebrasi AT parvathim grammatricesandstirlingnumbersofaclassofdiagramalgebrasi |