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http://hdl.handle.net/123456789/4418| Title: | Gram matrices and Stirling numbers of a class of diagram algebras |
| Authors: | B i, N . K. Parvathi, M . |
| Keywords: | Gram matrices partition algebras signed partition algebras and the algebra of Z2-relations. |
| Issue Date: | 2019 |
| Series/Report no.: | Математичні науки; |
| Abstract: | In this paper, we introduce Gram matrices for the signed partition algebras, the algebra of Z2-relations and the par- tition 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 estab- lished. Stirling numbers of the second kind for the partition algebras are introduced and their identities are established. |
| Description: | Bi N. K Gram matrices and Stirling numbers of a class of diagram algebras / N. K. la Bi, M. Parvathi // Algebra and Discrete Mathematics. - 2019. - Vol. 27. - Number 1. - Рp. 73-97 |
| URI: | http://hdl.handle.net/123456789/4418 |
| Appears in Collections: | Algebra and Discrete Mathematics. - № 1 (27). - 2019 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 36-3177-1-PB.pdf | 572.96 kB | Adobe PDF | View/Open |
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