T. Kojima

activity

19942025

most citedXXZ chain with a boundary

128 citations · 580 across the 51 of their papers we have counts for

collaborators

51 papers

math.QA2025

Non-local integrals of motion for deformed $W$ -algebras of types $g = A_{l}, D_{l}, E_{6, 7, 8}$

Michio Jimbo, Takeo Kojima

We present an infinite set of non-local integrals of motion for deformed $W$ -algebras of types $A_{l}, D_{l}$ , and $E_{6, 7, 8}$ . They can be regarded as a two-parameter deformation of t…

math.QA2023

Quadratic relations of the deformed $W$ -algebra

Takeo Kojima

The deformed $W$ -algebra is a quantum deformation of the $W$ -algebra $W_{β} (g)$ in conformal field theory. Using the free field construction, we obtain a closed set…

math.QA2021

Quadratic Relations of the Deformed $W$ -Algebra for the Twisted Affine Lie Algebra of Type $A_{2 N}^{(2)}$

Takeo Kojima

We revisit the free field construction of the deformed $W$ -algebra by Frenkel and Reshetikhin [Comm. Math. Phys. 197 (1998), 1-32], where the basic $W$ -current has been identified.…

math.QA2020★ 11 cited

Quadratic relations of the deformed $W$ -superalgebra $W_{q, t} (A (M, N))$

Takeo Kojima

We find the free field construction of the basic $W$ -current and screening currents for the deformed $W$ -superalgebra $W_{q, t} (A (M, N))$ associated with Lie superal…

math.QA2019★ 13 cited

Quadratic relations of the deformed $W$ -superalgebra $W_{q, t} (sl (2∣1))$

Takeo Kojima

We revisit the free field construction of the deformed $W$ -superalgebras $W_{q, t} (sl (2∣1))$ by J. Ding and B. Feigin, {\it Contemp.Math.}{\bf 248}, 83-108 (1998),…

math.QA2018★ 2 cited

Commutation relations of vertex operators for $U_{q} (s l (M ∣ N))$

Takeo Kojima

We consider commutation relations and invertibility relations of vertex operators for the quantum affine superalgebra $U_{q} (s l (M ∣ N))$ by using bosonization. We show that v…

Non-local integrals of motion for deformed W-algebras of types g=Al​,Dl​,E6,7,8​

Quadratic relations of the deformed W-algebra

Quadratic Relations of the Deformed W-Algebra for the Twisted Affine Lie Algebra of Type A2N(2)​

Quadratic relations of the deformed W-superalgebra Wq,t​(A(M,N))

Quadratic relations of the deformed W-superalgebra Wq,t​(sl(2∣1))

Commutation relations of vertex operators for Uq​(sl(M∣N))

Non-local integrals of motion for deformed $W$ -algebras of types $g = A_{l}, D_{l}, E_{6, 7, 8}$

Quadratic relations of the deformed $W$ -algebra

Quadratic Relations of the Deformed $W$ -Algebra for the Twisted Affine Lie Algebra of Type $A_{2 N}^{(2)}$

Quadratic relations of the deformed $W$ -superalgebra $W_{q, t} (A (M, N))$

Quadratic relations of the deformed $W$ -superalgebra $W_{q, t} (sl (2∣1))$

Commutation relations of vertex operators for $U_{q} (s l (M ∣ N))$