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Gram matrices and Stirling numbers of a class of diagram algebras, II
Репозиторій DSpace/Manakin
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Gram matrices and Stirling numbers of a class of diagram algebras, II
Інший ID:
2010 MSC: 16Z05
Посилання:
Gram matrices and Stirling numbers of a class of diagram algebras, II / N. Karimilla Bi, M. Parvathi // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 215–256. — Бібліогр.: 18 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:
125
Завантажень:
44
Анотація:
In the paper [6], we introduced Gram matrices for the signed partition algebras, the algebra of Z₂-relations and the partition algebras. (s₁, s₂, r₁, r₂, p₁, p₂)-Stirling numbers of the second kind are also introduced and their identities are established. In this paper, we prove that the Gram matrix is similar to a matrix which is a direct sum of block submatrices. As a consequence, the semisimplicity of a signed partition algebra is established.
