Journal
DISCRETE MATHEMATICS
Volume 345, Issue 12, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.disc.2022.113169
Keywords
Terwilliger algebra; Dual polar graphs; Quantum groups
Categories
Funding
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- NSERC
- [BESCM/2020]
- [RGPIN/2017]
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It is demonstrated that the adjacency matrix of a symplectic dual polar graph, restricted to the eigenspaces of an abelian automorphism subgroup, can serve as the adjacency matrix of a weighted subspace lattice. This connection is then utilized to determine the irreducible components of the standard module of the Terwilliger algebra of symplectic dual polar graphs, and the multiplicities of the isomorphic submodules are provided.
The adjacency matrix of a symplectic dual polar graph restricted to the eigenspaces of an abelian automorphism subgroup is shown to act as the adjacency matrix of a weighted subspace lattice. The connection between the latter and Uq(sl2) is used to find the irreducible components of the standard module of the Terwilliger algebra of symplectic dual polar graphs. The multiplicities of the isomorphic submodules are given. (c) 2022 Elsevier B.V. All rights reserved.
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