We show that the rank 10 hyperbolic Kac-Moody algebra E10 contains every simply laced hyperbolic Kac-Moody algebra as a Lie subalgebra. Our method is based on an extension of earlier work of Feingold… (More)

A symmetric space is a Riemannian manifold that is “symmetric” about each of its points: for each p ∈M there is an isometry σp of M such that (σp)∗ = −I on TpM . Symmetric spaces and their local… (More)

We introduce a generalization of the classical Hall–Littlewood and Kostka–Foulkes polynomials to all symmetrizable Kac–Moody algebras. We prove that these Kostka–Foulkes polynomials coincide with the… (More)

We consider a large class of series of symmetrizable Kac-Moody algebras (generically denoted Xn). This includes the classical series An as well as others like En whose members are of Indefinite type.… (More)

We give an elementary combinatorial proof of a special case of a result due to Bazlov and Ion concerning the Fourier coefficients of the Cherednik kernel. This can be used to give yet another proof… (More)

In this note, we identify a natural class of subsets of affine Weyl groups whose Poincaré series are rational functions. This class includes the sets of minimal coset representatives of reflection… (More)

We study t-analogs of string functions for integrable highest weight representations of the affine Kac-Moody algebra A (1) 1 . We obtain closed form formulas for certain t-string functions of levels… (More)

The principal objects studied in this note are Coxeter groups W that are neither finite nor affine. A well known result of de la Harpe asserts that such groups have exponential growth. We consider… (More)

The action of lidocaine, a local anesthetic, was investigated during anaphylaxis in guinea pigs after passive sensitization in vitro of lung tissue and trachealis muscle. Pretreatment of the… (More)

The isometric tension of anaphylactic guinea pig trachealis muscle preparation was examined at subphysiologic extracellular calcium concentrations, in vitro. Paired observations of control to… (More)