Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Masato Okado"'
Publikováno v:
Nuclear Physics B, Vol 937, Iss , Pp 240-271 (2018)
We introduce a probability distribution on the set of states in a generalized box–ball system associated with Kirillov–Reshetikhin (KR) crystals of type An(1). Their conserved quantities induce n-tuple of random Young diagrams in the rigged confi
Externí odkaz:
https://doaj.org/article/3386d2ec98ed4c53a70ffe33ef454345
Autor:
Masato Okado, Reiho Sakamoto
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AO,..., Iss Proceedings (2011)
For an affine algebra of nonexceptional type in the large rank we show the fermionic formula depends only on the attachment of the node 0 of the Dynkin diagram to the rest, and the fermionic formula of not type $A$ can be expressed as a sum of that o
Externí odkaz:
https://doaj.org/article/d59d258c801d44558ae97ce88e919b98
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AK,..., Iss Proceedings (2009)
For nonexceptional types, we prove a conjecture of Hatayama et al. about the prefectness of Kirillov―Reshetikhin crystals.
Externí odkaz:
https://doaj.org/article/b066bc977229448f8d26129a7162d105
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 9, p 049 (2013)
For a finite-dimensional simple Lie algebra $mathfrak{g}$, let $U^+_q(mathfrak{g})$ be the positive part of the quantized universal enveloping algebra, and $A_q(mathfrak{g})$ be the quantized algebra of functions. We show that the transition matrix o
Externí odkaz:
https://doaj.org/article/9ed4b513769f4315a8c9aaab5ae199c1
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 6, p 022 (2010)
The actions of 0-Kashiwara operators on the U_q(G_2^{(1)})-crystal B_l in [Yamane S., J. Algebra 210 (1998), 440-486] are made explicit by using a similarity technique from that of a U_q'(D_4^{(3)})-crystal. It is shown that {B_l}_{l ≥ 1} forms a c
Externí odkaz:
https://doaj.org/article/bc27f7304d1340a889bd9e1277b44eb5
The present volume is the result of the international workshop on New Trends in Quantum Integrable Systems that was held in Kyoto, Japan, from 27 to 31 July 2009. As a continuation of the RIMS Research Project “Method of Algebraic Analysis in Integ
Autor:
Jae-Hoon Kwon, Masato Okado
Publikováno v:
Publications of the Research Institute for Mathematical Sciences. 57:993-1039
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b1f6e6beb411b2d2f7f1c4a419ee2039
https://doi.org/10.4171/prims/57-3-9
https://doi.org/10.4171/prims/57-3-9
Autor:
Masato Okado, Ryo Takenaka
Publikováno v:
Algebras and Representation Theory.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1fa9f7a87f610f2d05467032cfdef65b
https://doi.org/10.1007/s10468-022-10159-w
https://doi.org/10.1007/s10468-022-10159-w
Autor:
Jae-Hoon Kwon, Masato Okado
Publikováno v:
Communications in Mathematical Physics. 385:1041-1082
We introduce higher level $q$-oscillator representations for the quantum affine (super)algebras of type $C_n^{(1)},C^{(2)}(n+1)$ and $B^{(1)}(0,n)$. These representations are constructed by applying the fusion procedure to the level one $q$-oscillato
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a02e950c82a19c5e3aa49a8c70f027dc
https://doi.org/10.1007/s00220-021-04009-x
https://doi.org/10.1007/s00220-021-04009-x
Publikováno v:
Journal of Algebra. 516:1-37
We establish a bijection between rigged configurations and highest weight elements of a tensor product of Kirillov-Reshetikhin crystals for all nonexceptional types. A key idea for the proof is to embed both objects into bigger sets for simply-laced
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d56fd0e79e695172d30f22a6bb59ddff
https://dlisv03.media.osaka-cu.ac.jp/il/meta_pub/G0000438repository_00218693-516-1
https://dlisv03.media.osaka-cu.ac.jp/il/meta_pub/G0000438repository_00218693-516-1