5 citations · 8 across the 5 of their papers we have counts for
5 papers
A class of Lie algebras who contains a class of Kac-Moody algebras
Nagatoshi Sasano
The theory of standard pentads is the theory aims to construct a graded Lie algebra whose local part consists of a given Lie algebra and its representation. In other words, using s…
Graded Lie algebras and regular prehomogeneous vector spaces with one-dimensional scalar multiplication
Nagatoshi Sasano
The aim of this paper is to study relations between regular reductive PVs with one-dimensional scalar multiplication and the structure of graded Lie algebras. We will show that the…
Reduced contragredient Lie algebras and PC Lie algebras
Nagatoshi Sasano
The first aim of this paper is to show that any finite-dimensional reductive Lie algebra and its finite-dimensional completely reducible representation can be embedded into some PC…
Contragredient Lie algebras and Lie algebras associated with a standard pentad
Nagatoshi Sasano
We will construct standard pentads which are analogues of Cartan subalgebras, and moreover, we will study graded Lie algebras corresponding to these standard pentads. We call such…
Lie algebras constructed with Lie modules and their positively and negatively graded modules
Nagatoshi Sasano
In this paper, we shall give a way to construct a graded Lie algebra from a standard pentad which consists of a…