We work out the decomposition of the indefinite Kac Moody algebras E10 and E11 w.r.t. their respective subalgebras A9 and A10 at low levels. Tables of the irreducible representations with their outer multiplicities are presented for E10 up to level ` = 18 and for E11 up to level ` = 10. On the way we confirm and extend existing results for E10 root multiplicities, and for the first time compute non-trivial root multiplicities of E11
It has been conjectured that the classical dynamics of M-theory is equivalent to a null geodesic mot...
Using the coset construction, we compute the root multiplicities at level three for some hyperbolic ...
The hyperbolic (and more generally, Lorentzian) Kac-Moody (KM) Lie algebras A of rank r+2 > 2 are sh...
We work out the decomposition of the indefinite Kac Moody algebras E10 and E11 w.r.t. their respecti...
We work out the decomposition of the indefinite Kac Moody algebras E10 and E11 w.r.t. their respecti...
We work out the decomposition of the indefinite Kac Moody algebras E10 and E11 w.r.t. their respecti...
The Lorentzian Kac-Moody algebra E11, obtained by doubly overextending the compact E8, is decomposed...
We define a level for a large class of Lorentzian Kac-Moody algebras. Using this we find the represe...
We review the recently constructed non-trivial fermionic representations of the infinite-dimensional...
The involutory subalgebra K(E$_9$) of the affine Kac-Moody algebra E$_9$ was recently shown to admit...
An attempt is made to understand the root spaces of Kac Moody algebras of hyperbolic type, and in pa...
We review the recently constructed non-trivial fermionic representations of the infinite-dimensional...
We present a nontechnical introduction to the hyperbolic Kac Moody algebra E_{10} and summarize our ...
The representation theory of involutory (or 'maximal compact') subalgebras of infinite-dimensional K...
10 pages, LaTeXInternational audienceUsing the coset construction, we compute the root multiplicitie...
It has been conjectured that the classical dynamics of M-theory is equivalent to a null geodesic mot...
Using the coset construction, we compute the root multiplicities at level three for some hyperbolic ...
The hyperbolic (and more generally, Lorentzian) Kac-Moody (KM) Lie algebras A of rank r+2 > 2 are sh...
We work out the decomposition of the indefinite Kac Moody algebras E10 and E11 w.r.t. their respecti...
We work out the decomposition of the indefinite Kac Moody algebras E10 and E11 w.r.t. their respecti...
We work out the decomposition of the indefinite Kac Moody algebras E10 and E11 w.r.t. their respecti...
The Lorentzian Kac-Moody algebra E11, obtained by doubly overextending the compact E8, is decomposed...
We define a level for a large class of Lorentzian Kac-Moody algebras. Using this we find the represe...
We review the recently constructed non-trivial fermionic representations of the infinite-dimensional...
The involutory subalgebra K(E$_9$) of the affine Kac-Moody algebra E$_9$ was recently shown to admit...
An attempt is made to understand the root spaces of Kac Moody algebras of hyperbolic type, and in pa...
We review the recently constructed non-trivial fermionic representations of the infinite-dimensional...
We present a nontechnical introduction to the hyperbolic Kac Moody algebra E_{10} and summarize our ...
The representation theory of involutory (or 'maximal compact') subalgebras of infinite-dimensional K...
10 pages, LaTeXInternational audienceUsing the coset construction, we compute the root multiplicitie...
It has been conjectured that the classical dynamics of M-theory is equivalent to a null geodesic mot...
Using the coset construction, we compute the root multiplicities at level three for some hyperbolic ...
The hyperbolic (and more generally, Lorentzian) Kac-Moody (KM) Lie algebras A of rank r+2 > 2 are sh...