This is the third paper of a series relating the equivariant twisted $K$-theory of a compact Lie group $G$ to the ``Verlinde space'' of isomorphism classes of projective lowest-weight representations of the loop groups. Here, we treat... more
This is the third paper of a series relating the equivariant twisted $K$-theory of a compact Lie group $G$ to the ``Verlinde space'' of isomorphism classes of projective lowest-weight representations of the loop groups. Here, we treat arbitrary compact Lie groups. In addition, we discuss the relation to semi-infinite cohomology, the fusion product of Conformal Field theory, the r\^ole of energy and the topological Peter-Weyl theorem.
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We establish that the Lie algebra of weight one states in a (strongly) rational vertex operator algebra is reductive, and that its Lie rank is bounded above by the effective central charge. We show that lattice vertex operator algebras... more
We establish that the Lie algebra of weight one states in a (strongly) rational vertex operator algebra is reductive, and that its Lie rank is bounded above by the effective central charge. We show that lattice vertex operator algebras may be characterized by the equalities of the effective central charge, the Lie rank and the central charge, and in particular holomorphic lattice theories may be characterized among all holomorphic vertex operator algebras by the equality of the Lie rank and the central charge.
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Abstract Skew lattices are the most successful generalization of lattices to the noncommutative case to date. Roughly speaking, each skew lattice can be seen as a lattice of rectangular bands. A coset decomposition can be given to each... more
Abstract Skew lattices are the most successful generalization of lattices to the noncommutative case to date. Roughly speaking, each skew lattice can be seen as a lattice of rectangular bands. A coset decomposition can be given to each pair of comparable maximal rectangular bands. The internal structure of skew lattices is revealed by their coset structure. In the present paper we study the coset structure of skew lattices in rings and present certain coset laws that describe the connections among the coset decompositions ...
This paper is the culmination of a series of papers and depends heavily on our work in \cite{FM1,FM2}. The reader willing to accept the main results of those papers as "black boxes" should be able to read the present paper without... more
This paper is the culmination of a series of papers and depends heavily on our work in \cite{FM1,FM2}. The reader willing to accept the main results of those papers as "black boxes" should be able to read the present paper without referring to them.
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Research Interests:
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The parasitic protozoan Leishmania is the aetiological agent of a spectrum of clinical diseases, ranging from disfiguring skin lesions to life-threatening visceral infection, and is a serious health problem in tropical and subtropical... more
The parasitic protozoan Leishmania is the aetiological agent of a spectrum of clinical diseases, ranging from disfiguring skin lesions to life-threatening visceral infection, and is a serious health problem in tropical and subtropical areas world-wide. Leishmania parasites undergo a dramatic transformation as they move between the different environments of an extracellular insect stage and an intracellular form in the vertebrate host. In an attempt to develop new strategies for the treatment of leishmaniasis, the techniques of molecular genetics have been utilised to elucidate the mechanisms which direct and control this cyclical differentiation. This review discusses current knowledge concerning the organization and regulation of the Leishmania nuclear genome and includes a discussion of chromosomal organization, genomic arrangement, transcription, transcript processing by trans-splicing and polyadenylation, and post-transcriptional regulation. The salient features as well as the supporting evidence for each topic are briefly reviewed.
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Novel compounds of the type Sn2MCl8(Py)2, Sn3Ph2Cl6(Py)2 and Sn3Ph3Cl5Py)2 have been synthesized and characterized. They have been found to be non-electrolytes in DMSO. The central metal atom extends its coordination number from four to... more
Novel compounds of the type Sn2MCl8(Py)2, Sn3Ph2Cl6(Py)2 and Sn3Ph3Cl5Py)2 have been synthesized and characterized. They have been found to be non-electrolytes in DMSO. The central metal atom extends its coordination number from four to six yielding a trinuclear compound containing Sn(II) → Group(IV) metal bonds. The Mossbauer spectra of the complexes suggest that the 5s electron density remains slightly localized