Canonical structure of the E10 model and supersymmetry

A coset model based on the hyperbolic Kac-Moody algebra E10 has been conjectured to underly eleven-dimensional supergravity and M theory. In this note we study the canonical structure of the bosonic model for finite- and infinite-dimensional groups. In the case of finite-dimensional groups like GL(n) we exhibit a convenient set of variables with Borel-type canonical brackets. The generalisation to the Kac-Moody case requires a proper treatment of the imaginary roots that remains elusive. As a second result, we show that the supersymmetry constraint of D=11 supergravity can be rewritten in a suggestive way using E10 algebra data. Combined with the canonical structure, this rewriting explains the previously observed association of the canonical constraints with null roots of E10. We also exhibit a basic incompatibility between local supersymmetry and the K(E10) `R symmetry', that can be traced back to the presence of imaginary roots and to the unfaithfulness of the spinor representations occurring in the present formulation of the E10 worldline model, and that may require a novel type of bosonisation/fermionisation for its resolution. This appears to be a key challenge for future progress with E10.Comment: 1+39 pages. v2: small corrections. Version to appear in PR

Fishery development and administration in India

This paper deals with the importance of fisheries administration in effective planning and successful execution of fisheries development programmes. The great diversity in the organisation of fisheries departments in the states of India is described

Management of Potential Fishery Resources

The marine fishing industry of India, though capable of becoming an important sector in the national output, has been growing at a slow rate, at an annual average rate of 3.4% during the period 1970-1979. The marine fish landings of India, which averages about 0.62 tonnes per sq. km and which is mostly from the inshore waters up to about 50 m depth, is low, as compared to the estimated total marine fisheries potential of about 4.5 million tonnes in the entire economic zone. The present relatively low production is mainly due to the marine fisheries being not fully exploited in the inshore waters up to about 50 m depth and practically unexploited in the economic zone beyond 50 m depth

Management and conservation of marine fishery resources

The marine fisheries resources of India including the EE Zone of about 2 million sq. km are of considerable magnitude. It is estimated that the Economic Zone may support about 4.5 million tonnes. They consist of demersal fishes, shoaling pelagic fishes, large pelagic fishes, crustaceans, cephalopods, sedentary molluscs, seaweeds, etc. At present, the landings are confined mostly to inshore belt up to 50 metres in depth. Prawn resources are Intensively fished. Pelagic fisheries like mackerel and sardine are highly fluctuating In this t)elt, due possibly to the limitations In operations and to migrating and breeding Influences. Bombay ducks are intensively fished. There is no fishing effort to cephalopods, tuna and tuna-like fishes worth mentioning, though their potential is ric

Review of the Indian oil sardine fishery

It is well known that the European and American herring, pilchard, sardine, etc., make the largest contribution to the fisheries of the world, and are the mainstay of the economy of most of the European maritime nations. The French expression 'la crise sardiniere' is a measure of the disastrous effect of the failure of the fishery to the nation

Windows for cdgas

We study a Fourier-Mukai kernel associated to a GIT wall-crossing for arbitrarily singular (not necessarily reduced or irreducible) affine varieties over any field. This kernel is closely related to a derived fiber product diagram for the wall-crossing and simple to understand from the viewpoint of commutative differential graded algebras. However, from the perspective of algebraic varieties, the kernel can be quite complicated, corresponding to a complex with multiple homology sheaves. Under mild assumptions in the Calabi-Yau case, we prove that this kernel provides an equivalence between the category of perfect complexes on the two GIT quotients. More generally, we obtain semi-orthogonal decompositions which show that these categories differ by a certain number of copies of the derived category of the derived fixed locus. The derived equivalence for the Mukai flop is recovered as a very special case.Comment: 30 pages; v2: updated to discuss the nature of the wall-crossing kernel and its relationship to a fiber product, v3: accepted for publication in Advances in Mathematic

A facile reductive cleavage of allylic and benzylic esters with low valent titanium reagents

The reductive cleavage of allylic and benaylic esters 1a-g̲ with titanium(II) reagent derived from Mg/Hg-TiCl yielded the corresponding acids 3a-g̲ and dimeric hydro 4 carbons 2a-g̲ under mild reaction conditions

An efficient and highly selective method for deoximation of ketoximes

A combination of pyridinium dichromate/tert-butyl hydroperoxide (1:1) has been found to be an excellent reagent for the highly selective regeneration of ketones from ketoximes

Infrastructure for fishing industry

With regard to the development of fisheries and effective utilisation of the fishery resources, such as provision of facilities for berthing and servicing of fishing vessels, handling of catches, an efficient infrastructure is essential. These facilities are being provided by different agencies in different countries. In most of the countries it is the responsibility of the Government to provide this basic structure