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pro vyhledávání: '"Miwa, T"'
Publikováno v:
TransNav: International Journal on Marine Navigation & Safety of Sea Transportation. Sep2024, Vol. 18 Issue 3, p593-599. 7p.
Publikováno v:
In Public Health October 2023 223:72-79
Autor:
Miwa, T., Smirnov, F.
Using the fermionic basis we obtain the expectation values of all $\slt$-invariant and $C$-invariant local operators on 10 sites for the anisotropic six-vertex model on a cylinder with generic Matsubara data. This is equivalent to the generalised Gib
Externí odkaz:
http://arxiv.org/abs/1802.08491
We introduce and study a category $\text{Fin}$ of modules of the Borel subalgebra of a quantum affine algebra $U_q\mathfrak{g}$, where the commutative algebra of Drinfeld generators $h_{i,r}$, corresponding to Cartan currents, has finitely many chara
Externí odkaz:
http://arxiv.org/abs/1609.05724
We study highest weight representations of the Borel subalgebra of the quantum toroidal gl(1) algebra with finite-dimensional weight spaces. In particular, we develop the q-character theory for such modules. We introduce and study the subcategory of
Externí odkaz:
http://arxiv.org/abs/1603.02765
We establish the method of Bethe ansatz for the XXZ type model obtained from the R-matrix associated to quantum toroidal gl(1). We do that by using shuffle realizations of the modules and by showing that the Hamiltonian of the model is obtained from
Externí odkaz:
http://arxiv.org/abs/1502.07194
In our previous works on the XXZ chain of spin one half, we have studied the problem of constructing a basis of local operators whose members have simple vacuum expectation values. For this purpose a pair of fermionic creation operators have been int
Externí odkaz:
http://arxiv.org/abs/1402.6893
Publikováno v:
Advances in Mathematics, 300 (2016), 229-274
We construct an analog of the subalgebra $Ugl(n)\otimes Ugl(m)$ of $Ugl(m+n)$ in the setting of quantum toroidal algebras and study the restrictions of various representations to this subalgebra.
Comment: Latex, 38 pages, misprints corrected
Comment: Latex, 38 pages, misprints corrected
Externí odkaz:
http://arxiv.org/abs/1309.2147
We define and study representations of quantum toroidal $gl_n$ with natural bases labeled by plane partitions with various conditions. As an application, we give an explicit description of a family of highest weight representations of quantum affine
Externí odkaz:
http://arxiv.org/abs/1204.5378
Publikováno v:
Kyoto J. Math. 52, no. 3 (2012), 621-659
In third paper of the series we construct a large family of representations of the quantum toroidal $\gl_1$ algebra whose bases are parameterized by plane partitions with various boundary conditions and restrictions. We study the corresponding formal
Externí odkaz:
http://arxiv.org/abs/1110.5310