Gram matrices and Stirling numbers of a class of diagram algebras

dc.contributor.author	Bi, N. K.
dc.date.accessioned	2019-12-12T09:46:30Z
dc.date.available	2019-12-12T09:46:30Z
dc.date.issued	2018
dc.identifier.uri	http://hdl.handle.net/123456789/4522
dc.description	Bi N. K. Gram matrices and Stirling numbers of a class of diagram algebras / N. K. Bi, M. Parvathi // Algebra and Discrete Mathematics. - 2018. - Vol. 25. - Number 2. - Рp.215- 256	uk_UA
dc.description.abstract	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.	uk_UA
dc.language.iso	en_US	uk_UA
dc.relation.ispartofseries	Математичні науки;
dc.subject	Gram matrices	uk_UA
dc.subject	partition algebras	uk_UA
dc.subject	signed partition algebras and the algebra of Z2-relations	uk_UA
dc.title	Gram matrices and Stirling numbers of a class of diagram algebras	uk_UA
dc.type	Article	uk_UA