The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and U(sl2)

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 mod...

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Bibliographic Details

Published in:	Discrete mathematics Vol. 345; no. 12; p. 113169
Main Authors:	Bernard, Pierre-Antoine, Crampé, Nicolas, Vinet, Luc
Format:	Journal Article
Language:	English
Published:	Elsevier 01.12.2022
Subjects:	Combinatorics Mathematics Dual polar graphs Terwilliger algebra quantum groups
ISSN:	0012-365X
Online Access:	Get full text
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