MJM. Jimbo
M. Jimbo
*This is an algorithmically generated author record based on publicly available information.
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Research Interests
M. Jimbo has a total of 3 co-authors. Here are the top co-authors by number of shared publications:
- Evgeny Mukhin
Department of Mathematics, Indiana University Indianapolis, Indianapolis, USA
3 shared publications - Boris Feigin
Hebrew University of Jerusalem, Einstein Institute of Mathematics, Jerusalem, Israel
2 shared publications - Boris Feigin
Hebrew University of Jerusalem Einstein Institute of Mathematics Givat Ram. Jerusalem 9190401 Israel
1 shared publication
Latest Publications
- 28 October 2026
- Published by Springer Nature in Communications in Mathematical Physics
- Vol. 407 (12) , 253
Affinization of Shifted Quantum Affine $\mathfrak {gl}_2$- 28 October 2026
- Published by Springer Nature in Communications in Mathematical Physics
- Vol. 407 (12) , 253
Affinization of Shifted Quantum Affine $\mathfrak {gl}_2$- 11 May 2026
- Published by Springer Nature in Annales Henri Poincare
- p. 1-43
Extensions of a Commuting Pair of Quantum Toroidal $\mathfrak {gl}_1$- 11 May 2026
- Published by Springer Nature in Annales Henri Poincare
- p. 1-43
Extensions of a Commuting Pair of Quantum Toroidal $\mathfrak {gl}_1$- Open AccessAffinization of shifted quantum affine $\mathfrak{gl}_2$We give a realization $\mathcal{A}_0$ of quantum toroidal algebra associated to $\mathfrak{gl}_2$ which can be viewed as an affinization of the Drinfeld new realization of quantum affine $\mathfrak{gl}_2$. We use this realization to define an affinization $\mathcal{A}_N$, $N\in{\mathbb Z}$, of shifted quantum affine $\mathfrak{gl}_2$. We construct a large family of representations of dominantly shifted algebra $\mathcal A_N$, $N>0$. The examples of representations with even positive $N$ appear in the study of extensions of deformed $W$-algebras of type $\mathfrak{gl}(N+2|1)$.Open AccessAffinization of shifted quantum affine $\mathfrak{gl}_2$We give a realization $\mathcal{A}_0$ of quantum toroidal algebra associated to $\mathfrak{gl}_2$ which can be viewed as an affinization of the Drinfeld new realization of quantum affine $\mathfrak{gl}_2$. We use this realization to define an affinization $\mathcal{A}_N$, $N\in{\mathbb Z}$, of shifted quantum affine $\mathfrak{gl}_2$. We construct a large family of representations of dominantly shifted algebra $\mathcal A_N$, $N>0$. The examples of representations with even positive $N$ appear in the study of extensions of deformed $W$-algebras of type $\mathfrak{gl}(N+2|1)$.