Cellularity and representations of walled cyclic \(G\)-Brauer algebras
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DOI:
https://doi.org/10.26637/MJM0804/0095Abstract
In this paper, we introduce a new class of diagram algebras which are subalgebras of cyclic \(G\)-Brauer algebras, called the Walled cyclic \(G\)-Brauer algebras denoted by \(W_{r, s}(x)\), where \(r, s \in \mathbb{N}\) and \(x\) is an indeterminate. The cellularity and the necessary and sufficient condition for \(W_{r, s}(x)\) to be quasi- hereditary are established.
Keywords:
G-Brauer algebra, walled Brauer algebra, cellular.Mathematics Subject Classification:
Mathematics- Pages: 1906-1911
- Date Published: 01-10-2020
- Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
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