The Rook Class Partition Algebras


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Authors

  • P. Jaish Ramanujan School of Mathematical Sciences, Department of Mathematics, Pondicherry University, Puducherry, India
  • A. Joseph Kennedy Ramanujan School of Mathematical Sciences, Department of Mathematics, Pondicherry University, Puducherry, India

Keywords:

Wreath product, Symmetric group, Partition algebra, Centralizer algebra

Abstract

The Class partition algebras $P_{k}(n,m)$ have been studied independently in [6] by Kennedy and also studied in [11] by Martin and Elgamal. We introduce the rook version of class partition algebras $P_{k}(n,m)$, which is subalgebra of the algebra $P_{k}(n)\otimes P_{k}(m)$ tensor product partition algebra. We also find corresponding schur--weyl dualities.

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Published

15-09-2020

How to Cite

P. Jaish, & A. Joseph Kennedy. (2020). The Rook Class Partition Algebras. International Journal of Mathematics And Its Applications, 8(3), 111–123. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/136

Issue

Vol. 8 No. 3 (2020)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.