Using the coset construction, we compute the root multiplicities at level three for some hyperbolic Kac-Moody algebras including the basic hyperbolic extension of $A_1^{(1)}$ and $E_{10}$
We present a nontechnical introduction to the hyperbolic Kac Moody algebra E_{10} and summarize our ...
A Vogan diagram is a Dynkin diagram of triplet (gR; h0;4+), where gR is a real Lie algebras, h0 Cart...
Multistring vertices and the overlap identities which they satisfy are exploited to understand prope...
10 pages, LaTeXInternational audienceUsing the coset construction, we compute the root multiplicitie...
In this paper we study root multiplicities of rank 2 hyperbolic Kac-Moody algebras using the combina...
The analog of the principal SO(3) subalgebra of a finite-dimensional simple Lie algebra can be defin...
The hyperbolic (and more generally, Lorentzian) Kac-Moody (KM) Lie algebras A of rank r+2 > 2 are sh...
AbstractWe give a root multiplicity formula for all the roots of almost hyperbolic Kac-Moody algebra...
AbstractWe give a root multiplicity formula for all the roots of almost hyperbolic Kac-Moody algebra...
In this paper, using a homological theory of graded Lie algebras and the representation theory of A_...
An attempt is made to understand the root spaces of Kac Moody algebras of hyperbolic type, and in pa...
We work out the decomposition of the indefinite Kac Moody algebras E10 and E11 w.r.t. their respecti...
In this paper, root supermultiplicities and corresponding combinatorial identities for the Borcherds...
The notion of Kac-Moody Lie algebras has recently been introduced and studied as a natural generaliz...
Multistring vertices and the overlap identities which they satisfy are exploited to understand prope...
We present a nontechnical introduction to the hyperbolic Kac Moody algebra E_{10} and summarize our ...
A Vogan diagram is a Dynkin diagram of triplet (gR; h0;4+), where gR is a real Lie algebras, h0 Cart...
Multistring vertices and the overlap identities which they satisfy are exploited to understand prope...
10 pages, LaTeXInternational audienceUsing the coset construction, we compute the root multiplicitie...
In this paper we study root multiplicities of rank 2 hyperbolic Kac-Moody algebras using the combina...
The analog of the principal SO(3) subalgebra of a finite-dimensional simple Lie algebra can be defin...
The hyperbolic (and more generally, Lorentzian) Kac-Moody (KM) Lie algebras A of rank r+2 > 2 are sh...
AbstractWe give a root multiplicity formula for all the roots of almost hyperbolic Kac-Moody algebra...
AbstractWe give a root multiplicity formula for all the roots of almost hyperbolic Kac-Moody algebra...
In this paper, using a homological theory of graded Lie algebras and the representation theory of A_...
An attempt is made to understand the root spaces of Kac Moody algebras of hyperbolic type, and in pa...
We work out the decomposition of the indefinite Kac Moody algebras E10 and E11 w.r.t. their respecti...
In this paper, root supermultiplicities and corresponding combinatorial identities for the Borcherds...
The notion of Kac-Moody Lie algebras has recently been introduced and studied as a natural generaliz...
Multistring vertices and the overlap identities which they satisfy are exploited to understand prope...
We present a nontechnical introduction to the hyperbolic Kac Moody algebra E_{10} and summarize our ...
A Vogan diagram is a Dynkin diagram of triplet (gR; h0;4+), where gR is a real Lie algebras, h0 Cart...
Multistring vertices and the overlap identities which they satisfy are exploited to understand prope...