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pro vyhledávání: '"Paul Terwilliger"'
Autor:
Paul Terwilliger
Publikováno v:
Nuclear Physics B, Vol 975, Iss , Pp 115662- (2022)
The q-Onsager algebra Oq has a presentation involving two generators W0, W1 and two relations, called the q-Dolan/Grady relations. The alternating central extension Oq has a presentation involving the alternating generators {W−k}k=0∞, {Wk+1}k=0
Externí odkaz:
https://doaj.org/article/aa4959586547441ca68d86db3671d045
Autor:
Paul Terwilliger
Publikováno v:
Nuclear Physics B, Vol 966, Iss , Pp 115391- (2021)
The q-Onsager algebra Oq is defined by two generators W0,W1 and two relations called the q-Dolan/Grady relations. Recently Baseilhac and Kolb obtained a PBW basis for Oq with elements denoted{Bnδ+α0}n=0∞,{Bnδ+α1}n=0∞,{Bnδ}n=1∞. In their re
Externí odkaz:
https://doaj.org/article/8e2f1e2eaad44f24b84421d9344ca156
Autor:
Paul Terwilliger
Publikováno v:
Nuclear Physics B, Vol 936, Iss , Pp 306-319 (2018)
Recently Pascal Baseilhac and Stefan Kolb introduced some automorphisms T0, T1 of the q-Onsager algebra Oq, that are roughly analogous to the Lusztig automorphisms of Uq(slˆ2). We use T0,T1 and a certain antiautomorphism of Oq to obtain an action of
Externí odkaz:
https://doaj.org/article/444726d15a914a35a9545eb82da81b13
Autor:
Paul Terwilliger
Publikováno v:
Nuclear Physics B, Vol 947, Iss , Pp - (2019)
This paper is about the positive part Uq+ of the quantum group Uq(slˆ2). The algebra Uq+ has a presentation with two generators A,B that satisfy the cubic q-Serre relations. Recently we introduced a type of element in Uq+, said to be alternating. Ea
Externí odkaz:
https://doaj.org/article/0daa932d308e49f794374cd9b1e6b751
Autor:
Paul Terwilliger
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 9, p 047 (2013)
Around 1992 A. Zhedanov introduced the Askey-Wilson algebra AW(3). Recently we introduced a central extension $Delta_q$ of AW(3) called the universal Askey-Wilson algebra. In this paper we discuss how $Delta_q$ is related to the universal DAHA $hat H
Externí odkaz:
https://doaj.org/article/4af0ac49b671452dab7bbe882e46877c
Autor:
Paul Terwilliger
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 7, p 099 (2011)
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). O
Externí odkaz:
https://doaj.org/article/4a70ab1944a446259a217b08f9ca0e95
Autor:
Paul Terwilliger, Tatsuro Ito
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 6, p 065 (2010)
We consider the double affine Hecke algebra H=H(k_0,k_1,k_0^v,k_1^v;q) associated with the root system (C_1^v,C_1). We display three elements x, y, z in H that satisfy essentially the Z_3-symmetric Askey-Wilson relations. We obtain the relations as f
Externí odkaz:
https://doaj.org/article/848fbee4681b442a803349257ddabe23
Autor:
Paul Terwilliger
Publikováno v:
Journal of Algebra. 604:162-184
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ccbb0c4ff0b28d18a5a395ef0138efd1
https://doi.org/10.1016/j.jalgebra.2022.04.013
https://doi.org/10.1016/j.jalgebra.2022.04.013
Autor:
Paul Terwilliger, Arjana Žitnik
A square matrix is said to be circular bidiagonal whenever (i) each nonzero entry is on the diagonal, or the subdiagonal, or in the top-right corner; (ii) each subdiagonal entry is nonzero, and the entry in the top-right corner is nonzero. Let $\math
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b4705179baedb9480acb94ad0fd9f35
Autor:
Paul Terwilliger
Publikováno v:
Communications in Mathematical Physics. 387:1771-1819
The $q$-Onsager algebra $O_q$ is presented by two generators $W_0$, $W_1$ and two relations, called the $q$-Dolan/Grady relations. Recently Baseilhac and Koizumi introduced a current algebra $\mathcal A_q$ for $O_q$. Soon afterwards, Baseilhac and Sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::793d5abbf492daa5dbf454b79f84bf34
https://doi.org/10.1007/s00220-021-04171-2
https://doi.org/10.1007/s00220-021-04171-2