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...
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2018 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2018
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188349 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-188349 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Gram matrices and Stirling numbers of a class of diagram algebras, I |
| spellingShingle |
Gram matrices and Stirling numbers of a class of diagram algebras, I N. Karimilla Bi Parvathi, M. |
| 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 |
| author |
N. Karimilla Bi Parvathi, M. |
| author_facet |
N. Karimilla Bi Parvathi, M. |
| publishDate |
2018 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT nkarimillabi grammatricesandstirlingnumbersofaclassofdiagramalgebrasi AT parvathim grammatricesandstirlingnumbersofaclassofdiagramalgebrasi |
| first_indexed |
2025-12-07T20:05:51Z |
| last_indexed |
2025-12-07T20:05:51Z |
| _version_ |
1850881292893159424 |