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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Published in:Algebra and Discrete Mathematics
Date:2018
Main Authors: N. Karimilla Bi, Parvathi, M.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2018
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/188349
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine