78 citations · 265 across the 23 of their papers we have counts for
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Classification of marked elliptic root systems with non-reduced affine quotient
A. Fialowski, K. Iohara, Y. Saito
The class of root systems, called elliptic root systems, were introduced in 1985 by K. Saito, for his studies on a normal surface singularity which contains a regular elliptic curv…
Classification of simple strong Harish-Chandra -modules
Yuly Billig, Vyacheslav Futorny, Kenji Iohara +1
We classify all simple strong Harish-Chandra modules for the Lie superalgebra . We show that every such module is either strongly cuspidal or a module of the highest weight…
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 and , which are important in soliton…
Invariants of the Weyl Group of Type
Kenji Iohara, Yosihisa Saito
In this note, we show the polynomiality of the ring of invariants with respect to the Weyl group of type .
Schur-Weyl duality for certain infinite dimensional -modules
Kenji Iohara, Gus Lehrer, Ruibin Zhang
Let be the two-dimensional simple module and be a projective Verma module for the quantum group of at generic . We show that for any , the endo…
Classification of Simple Cuspidal Modules over a Lattice Lie Algebra of Witt type
Yuly Billig, Kenji Iohara
Let be the lattice Lie algebra of Witt type associated with an additive inclusion with . In this article, the classificati…
Homology of Lie Algebras of Orthogonal and Symplectic Generalized Jacobi Matrices
Alice Fialowski, Kenji Iohara
In this note, we compute the homology with trivial coefficients of Lie algebras of generalized Jacobi matrices of type and over an associative unital -algebra with $k…
Homology of the Lie algebra
A. Fialowski, K. Iohara
In this note we compute the homology of the Lie algebra where is an associative unital -algebra which is used in higher dimensional soliton theory.…
Temperley-Lieb at roots of unity, a fusion category and the Jones quotient
K. Iohara, G. I. Lehrer, R. B. Zhang
When the parameter is a root of unity, the Temperley-Lieb algebra is non-semisimple for almost all . In this work, using cellular methods, we give explicit generat…
A Global version of Grozman's theorem
Kenji Iohara, Olivier Mathieu
Let X be a manifold. The classification of all equivariant bilinear maps between tensor density modules over X has been investigated by Yu Grozman, who has provided a full classifi…
Classification of Simple Lie Algebras on a Lattice
Kenji Iohara, Olivier Mathieu
Let be a lattice of rank . A Lie algebra on the lattice is a Lie algebra such that for all . In this articl…