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Gram Matrices and Stirling numbers of a class of Diagram Algebras - MaRDI portal

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Gram Matrices and Stirling numbers of a class of Diagram Algebras

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Publication:4559964

zbMATH Open1401.16035arXiv1504.01241MaRDI QIDQ4559964

Author name not available (Why is that?)

Publication date: 4 December 2018

Abstract: In this paper, we introduce Gram matrices for the signed partition algebras, the algebra of mathbbZ2-relations and the partition algebras. We prove that the Gram matrix is similar to a matrix which is a direct sum of block submatrices. In this connection, (s1,s2,r1,r2,p1,p2)-Stirling numbers of the second kind are introduced and their identities are established. As a consequence, the semisimplicity of a signed partition algebra is established.


Full work available at URL: https://arxiv.org/abs/1504.01241



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