Results 11 to 20 of about 10,437 (228)
The article is a result of the research on continental European paintings in York Art Gallery, completed as a part of the project National Inventory of Continental European Paintings. Two late gothic panels, painted on both sides, contain the depictions
Magdalena Łanuszka
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Leonard pairs and quantum algebra U(sl2)
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Sang, Man, Gao, Suogang, Hou, Bo
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Factorized $$A_2$$-Leonard pair
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Crampé, Nicolas, Zaimi, Meri
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Totally bipartite/abipartite Leonard pairs and Leonard triples of Bannai/ito type [PDF]
This paper is about three classes of objects: Leonard pairs, Leonard triples, and the finite-dimensional irreducible modules for an algebra $\mathcal{A}$. Let $\K$ denote an algebraically closed field of characteristic zero. Let $V$ denote a vector space over $\K$ with finite positive dimension.
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The Universal Askey-Wilson Algebra and the Equitable Presentation of U_q(sl_2)
Around 1992 A. Zhedanov introduced the Askey-Wilson algebra AW(3). Recently we introduced a central extension Δ of AW(3) called the universal Askey-Wilson algebra. In this paper we discuss a connection between Δ and the quantum algebra U_q(sl_2).
Paul Terwilliger
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The Universal Askey-Wilson Algebra
In 1992 A. Zhedanov introduced the Askey-Wilson algebra AW=AW(3) and used it to describe the Askey-Wilson polynomials. In this paper we introduce a central extension Δ of AW, obtained from AW by reinterpreting certain parameters as central elements in ...
Paul Terwilliger
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Three mutually adjacent Leonard pairs
Let (A,B) and (C,D) denote Leonard pairs on V. We say these pairs are adjacent whenever each basis for V which is standard for (A,B) (resp. (C,D)) is split for (C,D) (resp. (A,B)). Our main results are as follows: Theorem 1. There exists at most 3 mutually adjacent Leonard pairs on V provided the dimension of V is at least 2. Theorem 2. Let (A,B), (C,D)
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How to recognize a Leonard pair [PDF]
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Leonard pairs from the equitable basis of sl2 [PDF]
We construct Leonard pairs from finite-dimensional irreducible sl2-modules, using the equitable basis for sl2. We show that our construction yields all Leonard pairs of Racah, Hahn, dual Hahn, and Krawtchouk type, and no other types of Leonard pairs. 1. Introduction.
Hasan Alnajjar, Brian Curtin
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