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 \(\mathbb{Z}_2\)-relations and the partition algebras. The nondegeneracy and symmetic nature of these Gram matrices are establised. Also, \((s_1, s_2, r_1, r_2, p_1, p_2)\)-Stirling numbers of the second kind...
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| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/36 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543350095609856 |
|---|---|
| author | Karimilla Bi, N. Parvathi, M. |
| author_facet | Karimilla Bi, N. Parvathi, M. |
| author_sort | Karimilla Bi, N. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-17T07:54:05Z |
| description | In this paper, we introduce Gram matrices for the signed partition algebras, the algebra of \(\mathbb{Z}_2\)-relations and the partition algebras. The nondegeneracy and symmetic nature of these Gram matrices are establised. Also, \((s_1, s_2, r_1, r_2, p_1, p_2)\)-Stirling numbers of the second kind for the signed partition algebras, the algebra of \(\mathbb{Z}_2\)-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 | 2026-02-08T07:57:54Z |
| format | Article |
| id | admjournalluguniveduua-article-36 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:57:54Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-362018-05-17T07:54:05Z Gram matrices and Stirling numbers of a class of diagram algebras, I Karimilla Bi, N. Parvathi, M. Gram matrices, partition algebras, signed partition algebras and the algebra of \(\mathbb{Z}_2\)-relations 16Z05 In this paper, we introduce Gram matrices for the signed partition algebras, the algebra of \(\mathbb{Z}_2\)-relations and the partition algebras. The nondegeneracy and symmetic nature of these Gram matrices are establised. Also, \((s_1, s_2, r_1, r_2, p_1, p_2)\)-Stirling numbers of the second kind for the signed partition algebras, the algebra of \(\mathbb{Z}_2\)-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. Lugansk National Taras Shevchenko University 2018-04-27 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/36 Algebra and Discrete Mathematics; Vol 25, No 1 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/36/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/36/331 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/36/332 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | Gram matrices partition algebras signed partition algebras and the algebra of \(\mathbb{Z}_2\)-relations 16Z05 Karimilla Bi, N. Parvathi, M. Gram matrices and Stirling numbers of a class of diagram algebras, I |
| 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 |
| topic | Gram matrices partition algebras signed partition algebras and the algebra of \(\mathbb{Z}_2\)-relations 16Z05 |
| topic_facet | Gram matrices partition algebras signed partition algebras and the algebra of \(\mathbb{Z}_2\)-relations 16Z05 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/36 |
| work_keys_str_mv | AT karimillabin grammatricesandstirlingnumbersofaclassofdiagramalgebrasi AT parvathim grammatricesandstirlingnumbersofaclassofdiagramalgebrasi |