Abstract. In a recent paper, the authors have constructed a large class of operators in the Cowen-Douglas class Cowen-Douglas class of the unit disc D which are homogeneous with respect to the action of the group Möb – the Möbius group consisting of bi-holomorphic automorphisms of the unit disc D. The associated representation for each of these operators is multiplicity free. Here we give a dif...

In this paper we study the Schur algebra of the induced representation of the Weil representation of a certain subgroup of GL 2 (C) and prove that it is commutative. It thus implies that the representation is multiplicity free.

In recent years, 'private standards' in animal health and welfare have become increasingly common, and are often incorporated into quality assurance (QA) programmes. Here, we present an overview of the use of private animal health and welfare standards in QA programmes, and propose a generic framework to facilitate critical programme review. Private standards are being developed in direct respo...

Let X be the wonderful compactification of a complex adjoint symmetric space G/K such that rk(G/K) = rk(G) − rk(K). We show how to extend equivariant vector bundles on G/K to equivariant vector bundles on X , generated by their global sections and having trivial higher cohomology groups. This relies on a geometric construction of equivariant vector bundles in the setting of varieties with reduc...

This paper develops an agent-based computational model of violent political revolutions in which a subjugated population of citizens and an armed revolutionary organisation attempt to overthrow a central authority and its loyal forces. The model replicates several patterns of rebellion consistent with major historical revolutions, and provides an explanation for the multiplicity of outcomes tha...

We prove that a plane curve of degree d with r points of multiplicity m must have d ≥ m (r − 1) r−1

In this work we generalize the celebrated Rees’s theorem for arbitrary ideals in a local ring by using the Achilles-Manaresi multiplicity sequence as a generalization of the Hilbert-Samuel multiplicity.

The promoter regions of many genes contain multiple binding sites for the same transcription factor (TF). One possibility is that this multiplicity evolved through transitional forms showing redundant cis-regulation. To evaluate this hypothesis, we must disentangle the relative contributions of different evolutionary mechanisms to the evolution of binding site multiplicity. Here, we attempt to ...