Note on generating function of higher dimensional bell numbers

A. Joseph Kennedy; P. Jaish; P. Sundaresan

doi:10.26637/MJM0802/0009

Abstract

In this paper, we study the generating function of the Higher dimensional Bell number, which are arises as dimensions of the class partition algebras an important subalgebra of the tensor product partition algebra $$P_k(x) \otimes P_k(y)$ , denoted by $P_k(x, y)$ .

Keywords:

Partition algebra, Bell number, Stirling number, wreath product

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

A. Joseph Kennedy Department of Mathematics, Pondicherry University, Pondicherry-605014, India. https://orcid.org/0000-0002-5405-4317
P. Jaish Department of Mathematics, Pondicherry University, Pondicherry-605014, India.
P. Sundaresan Department of Mathematics, Pondicherry University, Pondicherry-605014, India.

Pages: 369-372
Date Published: 01-04-2020
Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)

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