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Uma, S. N.
(2009-08-06)
One of the most novel concepts in elementary particle physics is that of supersymmetry which ascribes a possible fundamental symmetry between fermions and bosons obeying different statistics. It was an assumption till ...
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Keshava Murthy, G. N.
(2009-08-05)
In 1939 J. Marcinkiewicz, proved a very important multiplier theorem of Fourier Series. It gives sufficient conditions for a sequence of complex numbers to have the property that multiplication of the fourier coefficients ...
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Geetha, P. K.
(, 2009-08-03)
The Thesis consists of two parts; Part 1 , devoted to Bernstein Problem of Weighted Approximation in the field Approximation theory; Part 2 deals with multiplier transformations associated with weighted spaces. Bernstein ...
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Mrigendra Singh Kushwaha
(The Institute of Mathematical Sciences, 2021)
Let g be a symmetrizable Kac-Moody Lie algebra. For each dominant integral
weight λ of g, let V λ denote the corresponding irreducible integrable highest weight
g-module and let v λ be a highest weight vector in V λ . ...
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Poornima, S.
(2009-08-05)
This thesis deals with the study of multiplier spaces of Segal Algebras, especially segal algebra's on the real line. The method of characterising multipliers of various classes of functions on the real line, chosen to ...
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Karthick Babu, C.G.
(The Institute of Mathematical Sciences, 2021)
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Sachin Sharma
(The Institute of Mathematical Sciences, 2013)
The author studies Lusztig's t-analogue of weight multiplicities associated to the irreducible integrable highest weight modules of affine Kac-Moody algebras. First, for the level one representation of twisted affine ...
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Surya Ramana, D.
(, 2009-11-02)
This thesis is an expository account of a proof of the theorem of R.C.Cowsik and M.V. Nori (1978), which asserts that every algebraic curve in an affine space over a field of positive characteristic is a set theoretic ...
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Subrahmanya, M.R.
(2009-08-05)
In 1968 Rivlin posed a problem on Algebraic Polynomial; "Characterise those n-tuples {P1, P2, ... P(n-1)}of algebraic polynomials such that the degree of Pj is j for j = 0,1,2,..., n-1., for which there exists a real ...
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Avijit Nath
(The Institute of Mathematical Sciences, 2019)
Classical Dold manifolds were defined as the orbit space of Z 2 action on the product of a sphere and a complex projective space where Z 2 acts on the sphere by antipodal involution and the complex projective space by ...
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Uma, V.
(, 2009-09-09)
This thesis is devoted to a study of the cohomology and K-theory of complex toric bundles and the fundamental group of real toric varieties. Since the discovery of toric varieties in the early 1970's, the subject has ...
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Mubeena, T.
(The Institute of Mathematical Sciences, 2013)
Let G be a group and let Ø : Γ → Γ be an endomorphism. We define an action
g.x := gxØ(g-1), for g,x ε Γ, of Γ on itself. The Ø-twisted conjugacy
class of an element x ε Γ is the orbit of this action containing x. ...
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Sridhar P. Narayanan
(The Institute of Mathematical Sciences, 2021)
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Venkatesh, R.
(The Institute of Mathematical Sciences, 2013)
In the first part, we address a fundamental question, unique factorization of tensor products, that arises in representation theory. We consider integrable, category O modules of indecomposable symmetrizable Kac-Moody ...
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Dakshini, Bhattacharyya
(, 2009-08-18)
This thesis contributes to the problem of understanding the uniformizing Fuchsian groups for a family of plane algebraic curves by determining explicit first variational formulae for the generators of the Fuchsian groups ...
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Krishnan Rajkumar
(The Institute of Mathematical Sciences, 2013)
The author studies the gaps between consecutive zeros on the critical line for the Riemann zeta function, and some of its generalisations, namely, the Epstein zeta function and the Selberg class of functions. First a ...