Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups

• Published in: Algebra and Discrete Mathematics
• Date: 2005
• Main Authors: Parvathi, M., Kennedy, A.J.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156627
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups / M. Parvathi, A.J. Kennedy // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 2. — С. 58–79. — Бібліогр.: 13 назв. — англ.

The Partition algebras Pk(x) have been defined in [M1] and [Jo]. We introduce a new class of algebras for every group G called “Extended G-Vertex Colored Partition Algebras," denoted by Pbk(x,G), which contain partition algebras Pk(x), as subalgebras. We generalized Jones result by showing...