In this work we consider the problem of determining information about representations as the rank grows large, in fact, tends to infinity. Here we show that the set of dominant weights stabilizes as the rank goes to infinity and the multiplicities become polynomials in the rank.…
![Lie algebras graded by the root systems BCrr̳, r[greater than or equal to] 2](https://covers.openlibrary.org/b/isbn/0821828118-M.jpg?default=false)
In this work we recover the construction of Kac-Kazhdan-Lepowsky-Wilson (1981) of the basic modules for the affine Lie algebras of types A([superscript]K), D([superscript]K), and E([superscript]K) using a new method.
Groups which satisfy commutator relations of the type satisfied by Chevalley groups, called here "groups with Steinberg relations", are shown to have certain nonassociative division algebras as parameters. This, in turn, allows an introduction of coordinates into certain polygon…
This monograph explicitly determines the "orbit structure" of all irreducible hermitian symmetric (IHS) spaces in a unified way by means of Lie algebra calculations, using J. Tits' models of the Lie algebras [script]e₆ and [script]e₇ in the two "exceptional" cases. An introducti…
This monograph explicitly determines the "orbit structure" of all irreducible hermitian symmetric (IHS) spaces in a unified way by means of Lie algebra calculations, using J. Tits' models of the Lie algebras [script]e₆ and [script]e₇ in the two "exceptional" cases. An introducti…
Simply connected Reimannian symmetric spaces were classified by E. Cartan. This paper examines an attempt to obtain an analogous classification when the metric has indefinite signature.
