Poem on Her Birthday

Dedicated to Goldie Hawn, on her birthday

Robin Harte Dedicated to Goldie Hawn, on her birthday Abstract We attempt to deconstruct the Arens-Royden Theorem. Suppose A is a Banach algebra (by default complex, with identity 1): we shall write 0.1 A−1 = {a ∈ A : 1 ∈ Aa∩aA} for the open subgroup of invertible elements, and A−1 0 for the connected component of the identity in A −1: it turns out ([8], [11] Theorem 7.11.4) that 0.2 A−1 0 = Ex...

The diagnosis was in her birthday party!

An 89-year-old lady was admitted to our hospital with a history of recurrent falls and episodic nocturnal confusion. Routine testing revealed capillary blood glucose levels fluctuating between 1.6 and 3.2mmol/l (28.8–57.6mg/dl). There was no history of diabetes mellitus and she was not on medications that could cause hypoglycemia. A detailed history and observation discounted the possibility of...

Dedication to Professor Stella Niemierko on the occasion of her 90th birthday.

A GALOIS THEORY FOR MONOIDS Dedicated to Manuela Sobral on the occasion of her seventieth birthday

We show that the adjunction between monoids and groups obtained via the Grothendieck group construction is admissible, relatively to surjective homomorphisms, in the sense of categorical Galois theory. The central extensions with respect to this Galois structure turn out to be the so-called special homogeneous surjections. Introduction An action of a monoid B on a monoid X can be de ned as a mo...

ON REPRESENTATIONS OF QUANTUM GROUPS Uq(f(K, H)) To Prof. Yingbo Zhang on the occasion of her 60th birthday

As further generalizations of Uq(sl2), an interesting class of algebras Uq(f(K,H)) was introduced and studied in [10]. In this paper, we further study these algebras by realizing them as Hyperbolic algebras. Such a realization yields a natural construction of interesting families of irreducible representations of Uq(f(K,H)) by using methods in non-commutative algebraic geometry([16]). We also i...