Zobrazeno 1 - 10
of 243
pro vyhledávání: '"Okado, Masato"'
We revisit the problem of constructing the stationary states of the multispecies asymmetric simple exclusion process on a one-dimensional periodic lattice. Central to our approach is a quantum oscillator weighted five vertex model which features a st
Externí odkaz:
http://arxiv.org/abs/2408.12092
We introduce a category of $q$-oscillator representations over the quantum affine superalgebras of type $D$ and construct a new family of its irreducible representations. Motivated by the theory of super duality, we show that these irreducible repres
Externí odkaz:
http://arxiv.org/abs/2304.06215
From a quantum $K$-matrix of the fundamental representation, we construct one for the Kirillov-Reshetikhin module by fusion construction. Using the $\imath$crystal theory by the last author, we also obtain combinatorial $K$-matrices corresponding to
Externí odkaz:
http://arxiv.org/abs/2209.10325
Autor:
Okado, Masato, Takenaka, Ryo
Using the bases of principal subspaces for twisted affine Lie algebras except $A_{2l}^{(2)}$ by Butorac and Sadowski, we construct bases of the highest weight modules of highest weight $k\Lambda_0$ and parafermionic spases for the same affine Lie alg
Externí odkaz:
http://arxiv.org/abs/2109.08892
Autor:
Kusano, Hiroto, Okado, Masato
A solution to the reflection equation associated to a coideal subalgebra of $U_q(A_{2n-1}^{(1)})$ of type AII in the symmetric tensor representations is presented. If parameters of the coideal subalgebra are suitably chosen, the $K$ matrix does not d
Externí odkaz:
http://arxiv.org/abs/2012.00967
Autor:
Kwon, Jae-Hoon, Okado, Masato
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:
http://arxiv.org/abs/2007.13995
Autor:
Kuniba, Atsuo, Okado, Masato
Publikováno v:
J. Int. Systems (2019) 4, xyz013 (10 pages)
A trick to obtain a systematic solution to the set-theoretical reflection equation is presented from a known one to the Yang-Baxter equation. Examples are given from crystals and geometric crystals associated to the quantum affine algebra of type $A^
Externí odkaz:
http://arxiv.org/abs/1907.10234
Publikováno v:
J. Phys. A: Math. Theor. 52 (2019) 375202 (27pp)
We determine the intertwiners of a family of Onsager coideal subalgebras of the quantum affine algebra $U_p(A^{(1)}_{n-1})$ in the fundamental representations and $U_p(B^{(1)}_{n}), U_p(D^{(1)}_{n}), U_p(D^{(2)}_{n+1})$ in the spin representations. T
Externí odkaz:
http://arxiv.org/abs/1904.05653
Publikováno v:
Letters in Mathematical Physics (2019) 109, 2049-2067
We present a new solution to the reflection equation associated with a coideal subalgebra of $U_q(A^{(1)}_{n-1})$ in the symmetric tensor representations and their dual. Elements of the $K$ matrix are expressed by a matrix product formula involving t
Externí odkaz:
http://arxiv.org/abs/1812.03767
Publikováno v:
Nuclear Physics B 937 (2018) 240-271
We introduce a probability distribution on the set of states in a generalized box-ball system associated with Kirillov-Reshetikhin (KR) crystals of type $A^{(1)}_n$. Their conserved quantities induce $n$-tuple of random Young diagrams in the rigged c
Externí odkaz:
http://arxiv.org/abs/1808.02626