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Gram matrices and Stirling numbers of a class of diagram algebras, I
Репозиторій DSpace/Manakin
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Gram matrices and Stirling numbers of a class of diagram algebras, I
Інший ID:
2010 MSC: 16Z05.
Посилання:
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.
Підтримка:
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.
Дата:
2018
Переглядів:
206
Завантажень:
64
Анотація:
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.
