Zobrazeno 1 - 10
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pro vyhledávání: '"Terwilliger, A"'
Terwilliger algebras are finite-dimensional semisimple algebras that were first introduced by Paul Terwilliger in 1992 in studies of association schemes and distance-regular graphs. The Terwilliger algebras of the conjugacy class association schemes
Externí odkaz:
http://arxiv.org/abs/2411.08803
Autor:
Chen, Zhenxian, Xi, Changchang
We show that the Terwilliger algebra of a quasi-thin association scheme over a field is always a quasi-hereditary cellular algebra in the sense of Cline-Parshall-Scott and of Graham-Lehrer, repsectively, and that the basic algebra of the Terwilliger
Externí odkaz:
http://arxiv.org/abs/2410.21600
Autor:
Bastian, Nicholas L.
This paper is a continuation of Almost Commutative Terwilliger Algebras of Group Association Schemes I: Classification [1]. In that paper, we found all groups G for which the Terwilliger algebra of the group association scheme, denoted T (G), is almo
Externí odkaz:
http://arxiv.org/abs/2409.09482
Terwilliger algebras are a subalgebra of a matrix algebra that are constructed from association schemes over finite sets. In 2010, Rie Tanaka defined what it means for a Terwilliger algebra to be almost commutative. In that paper she gave five equiva
Externí odkaz:
http://arxiv.org/abs/2409.09167
Autor:
Watanabe, Yuta
This paper delves into the Terwilliger algebra associated with the ordered Hamming scheme, which extends from the wreath product of one-class association schemes and was initially introduced by Delsarte as a natural expansion of the Hamming schemes.
Externí odkaz:
http://arxiv.org/abs/2407.06550
Autor:
Curtin, Brian
We describe the Terwilliger algebras of the four-class Latin-square association schemes arising from Cayley tables of Bol loops. We give some necessary conditions involving Terwilliger algebras for a quasigroup to be a Bol loop.
Externí odkaz:
http://arxiv.org/abs/2405.11645
Autor:
Herman, Allen
The Terwilliger algebras of asymmetric association schemes of rank $3$, whose nonidentity relations correspond to doubly regular tournaments, are shown to have thin irreducible modules, and to always be of dimension $4k+9$ for some positive integer $
Externí odkaz:
http://arxiv.org/abs/2404.11560
Autor:
Jiang, Yu
The Terwilliger algebras of association schemes over an arbitrary field $\mathbb{F}$ were called the Terwilliger $\mathbb{F}$-algebras of association schemes in [8]. In this paper, we study the Terwilliger $\mathbb{F}$-algebras of factorial associati
Externí odkaz:
http://arxiv.org/abs/2403.08537
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