Hisanori Tsurusaki

collaborators

2 papers

math.RT2023

Irreducible module decompositions of rank 2 symmetric hyperbolic Kac-Moody Lie algebras by $sl_{2}$ subalgebras which are generalizations of principal $sl_{2}$ subalgebras

Hisanori Tsurusaki

There exist principal $sl_{2}$ subalgebras for hyperbolic Kac-Moody Lie algebras. In the case of rank 2 symmetric hyperbolic Kac-Moody Lie algebras, certain $\mathfrak{sl}…

math.RT2021

$sl_{2}$ triples whose nilpositive elements are in a space which is spanned by the real root vectors in rank 2 symmetric hyperbolic Kac-Moody Lie algebras

Hisanori Tsurusaki

In analogy to the theory of nilpotent orbit in finite-dimensional semisimple Lie algebras, it is known that the principal $sl_{2}$ subalgebras can be constructed in hyperb…

Irreducible module decompositions of rank 2 symmetric hyperbolic Kac-Moody Lie algebras by sl2​ subalgebras which are generalizations of principal sl2​ subalgebras

sl2​ triples whose nilpositive elements are in a space which is spanned by the real root vectors in rank 2 symmetric hyperbolic Kac-Moody Lie algebras

Irreducible module decompositions of rank 2 symmetric hyperbolic Kac-Moody Lie algebras by $sl_{2}$ subalgebras which are generalizations of principal $sl_{2}$ subalgebras

$sl_{2}$ triples whose nilpositive elements are in a space which is spanned by the real root vectors in rank 2 symmetric hyperbolic Kac-Moody Lie algebras