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pro vyhledávání: '"Terwilliger, A"'
Autor:
Ma, Xiaoxuan, Lin, Yutang, Xu, Yuan, Kaufhold, Stephan P., Terwilliger, Jack, Meza, Andres, Zhu, Yixin, Rossano, Federico, Wang, Yizhou
Understanding non-human primate behavior is crucial for improving animal welfare, modeling social behavior, and gaining insights into both distinctly human and shared behaviors. Despite recent advances in computer vision, automated analysis of primat
Externí odkaz:
http://arxiv.org/abs/2410.17136
Autor:
Terwilliger, Paul
The $q$-Onsager algebra $O_q$ is defined by two generators and two relations, called the $q$-Dolan/Grady relations. In 2019, Baseilhac and Kolb introduced two automorphisms of $O_q$, now called the Lusztig automorphisms. Recently, we introduced a gen
Externí odkaz:
http://arxiv.org/abs/2409.19815
Autor:
Terwilliger, Paul
Let $\Gamma$ denote a $Q$-polynomial distance-regular graph with diameter $D\geq 1$. For a vertex $x$ of $\Gamma$ the corresponding subconstituent algebra $T=T(x)$ is generated by the adjacency matrix $A$ of $\Gamma$ and the dual adjacency matrix $A^
Externí odkaz:
http://arxiv.org/abs/2408.11282
Autor:
Terwilliger, Paul
In 2023 we obtained a $Q$-polynomial structure for the projective geometry $L_N(q)$. In the present paper, we display a more general $Q$-polynomial structure for $L_N(q)$. Our new $Q$-polynomial structure is defined using a free parameter $\varphi$ t
Externí odkaz:
http://arxiv.org/abs/2407.14964
Autor:
Terwilliger, Paul
The tridiagonal algebra is defined by two generators and two relations, called the tridiagonal relations. Special cases of the tridiagonal algebra include the $q$-Onsager algebra, the positive part of the $q$-deformed enveloping algebra $U_q({\wideha
Externí odkaz:
http://arxiv.org/abs/2407.00551
Autor:
Nomura, Kazumasa, Terwilliger, Paul
Let ${\mathcal X} = (X, \{R_i\}_{i=0}^d)$ denote a symmetric association scheme. Fix an ordering $\{E_i\}_{i=0}^d$ of the primitive idempotents of $\mathcal{X}$, and let $P$ (resp.\ $Q$) denote the corresponding first eigenmatrix (resp.\ second eigen
Externí odkaz:
http://arxiv.org/abs/2405.10491
Autor:
Nomura, Kazumasa, Terwilliger, Paul
Let $\Gamma$ denote a $Q$-polynomial distance-regular graph, with vertex set $X$ and diameter $D\geq 3$. The standard module $V$ has a basis $\lbrace {\hat x} \vert x \in X\rbrace$, where ${\hat x}$ denotes column $x$ of the identity matrix $I \in {\
Externí odkaz:
http://arxiv.org/abs/2404.09346
Autor:
Ma, Xiaoxuan, Kaufhold, Stephan P., Su, Jiajun, Zhu, Wentao, Terwilliger, Jack, Meza, Andres, Zhu, Yixin, Rossano, Federico, Wang, Yizhou
Understanding the behavior of non-human primates is crucial for improving animal welfare, modeling social behavior, and gaining insights into distinctively human and phylogenetically shared behaviors. However, the lack of datasets on non-human primat
Externí odkaz:
http://arxiv.org/abs/2310.16447
Autor:
Nomura, Kazumasa, Terwilliger, Paul
Let $\Gamma$ denote a distance-regular graph, with vertex set $X$ and diameter $D\geq 3$. We assume that $\Gamma$ is formally self-dual and $q$-Racah type. We also assume that for each $x \in X$ the subconstituent algebra $T=T(x)$ contains a certain
Externí odkaz:
http://arxiv.org/abs/2308.11061
Autor:
Terwilliger, Paul
The goal of this article is to display a $Q$-polynomial structure for the Attenuated Space poset $\mathcal A_q(N,M)$. The poset $\mathcal A_q(N,M)$ is briefly described as follows. Start with an $(N+M)$-dimensional vector space $H$ over a finite fiel
Externí odkaz:
http://arxiv.org/abs/2307.07833