K. Iohara

activity

20172020

most citedClassification of simple strong Harish-Chandra

W (m, n)

-modules

4 citations · 5 across the 4 of their papers we have counts for

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6 papers · 1 filter

math.RT2020★ 4 cited

Classification of simple strong Harish-Chandra $W (m, n)$ -modules

Yuly Billig, Vyacheslav Futorny, Kenji Iohara +1

We classify all simple strong Harish-Chandra modules for the Lie superalgebra $W (m, n)$ . We show that every such module is either strongly cuspidal or a module of the highest weight…

math.RT2020

On Lie algebras of generalized Jacobi matrices

Alice Fialowski, Kenji Iohara

In this lecutre note, we consider infinite dimensional Lie algebras of generalized Jacobi matrices $g J (k)$ and $gl_{\infty} (k)$ , which are important in soliton…

math.RT2019

Invariants of the Weyl Group of Type $A_{2 l}^{(2)}$

Kenji Iohara, Yosihisa Saito

In this note, we show the polynomiality of the ring of invariants with respect to the Weyl group of type $A_{2 l}^{(2)}$ .

math.RT2018

Schur-Weyl duality for certain infinite dimensional $U_{q} (sl_{2})$ -modules

Kenji Iohara, Gus Lehrer, Ruibin Zhang

Let $V$ be the two-dimensional simple module and $M$ be a projective Verma module for the quantum group of $sl_{2}$ at generic $q$ . We show that for any $r \geq 1$ , the endo…

math.RT2018

Classification of Simple Cuspidal Modules over a Lattice Lie Algebra of Witt type

Yuly Billig, Kenji Iohara

Let $W_{π}$ be the lattice Lie algebra of Witt type associated with an additive inclusion $π : Z^{N} ↪ C^{2}$ with $N > 1$ . In this article, the classificati…

math.RT2017★ 1 cited

Temperley-Lieb at roots of unity, a fusion category and the Jones quotient

K. Iohara, G. I. Lehrer, R. B. Zhang

When the parameter $q$ is a root of unity, the Temperley-Lieb algebra $T L_{n} (q)$ is non-semisimple for almost all $n$ . In this work, using cellular methods, we give explicit generat…

Classification of simple strong Harish-Chandra W(m,n)-modules