نتایج جستجو برای: jimbo miwa equation
تعداد نتایج: 230049 فیلتر نتایج به سال:
A fundamental problem in representation theory is to find an explicit positive rule, akin to the Littlewood-Richardson rule, for decomposing the tensor product of two irreducible representations of the symmetric group (Kronecker problem). In this paper a generalization of the Drinfeld-Jimbo quantum group, with a compact real form, is constructed, and also an associated semisimple algebra that h...
A fundamental problem in representation theory is to nd an explicit positive rule, akin to the Littlewood-Richardson rule, for decomposing the tensor product of two irreducible representations of the symmetric group (Kronecker problem). In this paper a generalization of the Drinfeld-Jimbo quantum group, with a compact real form, is constructed, and also an associated semisimple algebra that has...
Let Uq(AN) be the Drinfeld-Jimbo quantum group of type AN . In this paper, by using Gröbner-Shirshov bases, we give a simple (but not short) proof of the RossoYamane Theorem on PBW basis of Uq(AN).
Ryuji Yamashita, Sagar Magia, Tsutomu Higuchi, Kazuhide Yoneya, Toshio Yamamura, Hiroyuki Mizukoshi, Shingo Zaitsu, Minoru Yamashita, Shunichi Toyama, Norihiro Kamae, Juan Lee, Shuo Chen, Jiawei Tao, William Mak, Xiaohua Zhang, Ying Yu, Yuko Utsunomiya, Yosuke Kato, Manabu Sakai, Masahide Matsumoto, Hardwell Chibvongodze, Naoki Ookuma, Hiroki Yabe, Subodh Taigor, Rangarao Samineni, Takuyo Kodam...
A systematic reformulation of the KP hierarchy by using continuous Miwa variables is presented. Basic quantities and relations are defined and determinantal expressions for Fay’s identities are obtained. It is shown that in terms of these variables the KP hierarchy gives rise to a Darboux system describing an infinite-dimensional conjugate net.
We study the character theory of inductive limits [Formula: see text]-deformed classical compact groups. In particular, we clarify relationship between representation Drinfeld–Jimbo quantized universal enveloping algebras and our previous work on characters. also apply to construct Markov semigroups unitary duals text], their limits.
در این پایان نامه یک روش عددی برای حل معادلات کسری-زمانی و کسری-فضایی برگر egin{equation*} d_t^{alpha}u+varepsilon uu_{x}= u u_{xx}+eta d_x^{eta}u, end{equation*} معادله ی کسری-زمانی و کسری-فضایی پوآسن egin{equation*} d_x^{eta}u + d_t^{alpha}u = f(x,t), end{equation*} و معادله ی کسری-زمانی انتشار egin{equation*} d_t^alpha u+u=k abla^2 u + f(x,t), end{equation*} ...
We start with the idea that the Drinfeld-Jimbo(DJ) quantum algebras for the classical groups can be generated using R-matrices in the Faddeev-ReshetikhinTakhtadzhyan(FRT) formalism. But instead of using it to the case of the one-parameter R-matrix to generate the usual Drinfeld-Jimbo algebras, we apply the FRT approach to a multi-parametric R-matrix. Specifically, we apply it to the two-paramet...
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