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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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2018
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/188349 |
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| Summary: | 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. |
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