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Govinda Rajulu M.B.,Vivekananda Institute of Tropical Mycology | Thirunavukkarasu N.,Ramakrishna Mission Vivekananda College | Babu A.G.,Thapar University | Aggarwal A.,Thapar University | And 2 more authors.
Mycology | Year: 2013

The distribution of Xylaria endophytes in the leaves of 22 tree species of a dry thorn forest and 27 tree species of a stunted montane evergreen forest of the Western Ghats in southern India was studied. In addition, these endophytes were screened for the production of some bioactive metabolites and extracellular enzymes. All the tree species in both the forest types harboured xylariaceous endophytes. Generally, xylariaceous endophytic infection of the leaves increased during the wet season. Molecular analysis showed that most of the xylariaceous endophytes isolated belonged to Xylaria or Nemania. All endophytes produced cellulase, and most of the isolates produced laccase and lipase enzymes suggesting continuing their life in plant litter as saprotrophs. The culture extracts were inhibitory to fungi, bacteria and algae indicating that they can compete with such organisms in the forest floor while surviving as saprotrophs. Fungi with such dual life strategies appear to be a potential source for biotechnological exploitation. © 2013 Copyright 2013 Mycological Society of China. Source


Aizawa N.,Osaka Prefecture University | Kimura Y.,Osaka Prefecture University | Segar J.,Ramakrishna Mission Vivekananda College
Journal of Physics A: Mathematical and Theoretical | Year: 2013

The ℓ-conformal Galilei algebra, denoted by gℓ(d), is a non-semisimple Lie algebra specified by a pair of parameters (d, ℓ). The algebra is regarded as a nonrelativistic analogue of the conformal algebra. We derive hierarchies of partial differential equations which have invariance of the group generated by gℓ(d) with a central extension as kinematical symmetry. This is done by developing a representation theory such as Verma modules, singular vectors of gℓ(d) and vector field representations for d = 1, 2. © 2013 IOP Publishing Ltd Printed in the UK & the USA. Source


Chandrashekar R.,Chennai Mathematical Institute | Segar J.,Ramakrishna Mission Vivekananda College
Physica A: Statistical Mechanics and its Applications | Year: 2013

A unified framework to describe the adiabatic class of ensembles in the generalized statistical mechanics based on Schwämmle-Tsallis two parameter (q,q′) entropy is proposed. The generalized form of the equipartition theorem, virial theorem and the adiabatic theorem are derived. Each member of the class of ensembles is illustrated using the classical nonrelativistic ideal gas and we observe that the heat functions could be written in terms of the Lambert's W-function in the large N limit. In the microcanonical ensemble we study the effect of gravitational field on classical nonrelativistic ideal gas and a system of hard rods in one dimension and compute their respective internal energy and specific heat. We found that the specific heat can take both positive and negative values depending on the range of the deformation parameters, unlike the case of one parameter Tsallis entropy. © 2013 Elsevier B.V. All rights reserved. Source


Aizawa N.,Osaka Prefecture University | Kimura Y.,Osaka Prefecture University | Segar J.,Ramakrishna Mission Vivekananda College
Journal of Physics: Conference Series | Year: 2014

The ℓ-conformai Galilei algebra, denoted by gℓ(d), is a particular non-semisimple Lie algebra specified by a positive integer d and a spin value ℓ. The algebra gℓ(d) admits central extensions. We study lowest weight representations, in particular Verma modules, of g ℓ(d) with the central extensions for d = 1,2. We give a classification of irreducible modules over d 1 algebras and a condition of the Verma modules over d 2 algebras being reducible. As an application of the representation theory, hierarchies of differential equations are derived. The Lie group generated by gℓ(d) with the central extension is a kinematical symmetry of the differential equations. © Published under licence by IOP Publishing Ltd. Source


Aizawa N.,Osaka Prefecture University | Chandrashekar R.,National Chung Hsing University | Segar J.,Ramakrishna Mission Vivekananda College
Journal of Physics: Conference Series | Year: 2015

Conformal Galilei algebra is a class of non-semisimple Lie algebras. Each member of the class is labelled by two parameters d (positive integer) and ℓ (positive integer or positive half-integer). We investigate the lowest weight representations of the conformal Galilei algebra for d = 1 and any integer ℓ. We start with the Verma modules and then extract all the irreducible lowest weight modules. This is done by searching and explicitly constructing singular vectors. As an application of our construction of singular vectors, we obtain the partial differential equations which are symmetric by kinematical transformation generated by the conformal Galilei algebra. © Published under licence by IOP Publishing Ltd. Source

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