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Ravindra, G.V.
(2009-08-31)
The objective of this thesis is twofold. The first is to give simpler more unified treatment, for all the diverse examples of non-trivial nullhomologous cycles. Then this would allow to construct new examples of such ...
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Balaji, V.
(, 2009-08-07)
This thesis is concerned with a study of the cohomological properties of certain moduli spaces of vector bundles over a compact Riemann Surface. This research was funded by the National Board for Higher Mathematics. ...
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Arghya Mondal
(The Institute of Mathematical Sciences, 2017)
Our object of study has been the topology of locally symmetric spaces of non-compact type. The thesis consists of two parts. The first part addresses homotopy classification of maps between higher rank irreducible locally ...
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Ajay Singh Thakur
(The Institute of Mathematical Sciences, 2011)
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Pranendu Darbar
(The Institute of Mathematical Sciences, 2019)
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Uday Bhaskar Sharma
(The Institute of Mathematical Sciences, 2016)
This thesis concerns the problem of enumerating isomorphism classes of n dimensional modules over polynomial algebras F q [x 1 , . . . , x k ], in k variables over a finite field of order q. This problem is the same as the ...
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Jayakrishnan M
(The Institute of Mathematical Sciences, 2021)
This thesis is divided into two parts, and deals with the parameterized complexity analysis of two classes of problems: (i) graph partitioning problems and (ii) crossing minimisation problems. The first of these, graph ...
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Swagata Sarkar
(The Institute of Mathematical Sciences, 2010)
Let f:Gn,k --> Gm,l be any continuous map between to distinct complex ( resp. quaternionic )Grassmann manifolds of the same dimension. It is shown that the degree of f is zero provided n, m are sufficiently large and ...
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Siddheswar Kundu
(The Institute of Mathematical Sciences, 2024)
This thesis is divided into two parts. The first part includes the Demazure crystal structure for flagged reverse plane partitions and flagged skew semi-standard tableaux. The second part addresses the saturation property ...
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Rekha Biswal
(The Institute of Mathematical Sciences, 2016)
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Satyajit Guin
(The Institute of Mathematical Sciences, 2014)
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Yogananda, C. S.
(, 2009-08-10)
Waring's problem, Goldbach's conjecture, Dirichlet divisor problem and the order of Dirichlet series in critical strip are good examples for the phenomena in Number theory, 'for a problem reducing in the ultimate analysis ...
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Sabu, N.
(2009-08-24)
This thesis studies the justification of eigenvalue problems for classical lower dimensional models of linear elastic shells and rods. It is to show that the eigen solutions of the lower dimensional problem is the limit, ...
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Narayanan, P. A.
(The Institute of Mathematical Sciences, 2021)
This thesis consists of five chapters. The first chapter is the current one where we
informally discuss the problem we address and introduce the content of the future chapters.
The second chapter has, by now well ...
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Pratyusha Chattopadhyay
(The Institute of Mathematical Sciences, 2010)
The aim of this thesis is to show a bijection between the orbit spaces of unimodular rows under the action of the elementary linear group and the orbit spaces of unimodular rows under the action of the elementary symplectic ...
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Manisha, V. Kulkarni
(, 2009-09-14)
'Let M be a finite abelian extension of of Q. Then the ring of integers OM of M is a free, rank one module over the associated order AM/Q'. There is no method for constructing a Z(G) basis for OM when OM is free over Z(G). ...
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Panchugopal Bikram
(The Institute of Mathematical Sciences, 2013)
This thesis is devoted to the study of weak-* continuous semigroups of unital normal
*-endomorphisms on arbitrary factors. It is divided into three chapters. The first chapter proposes a rephrasing of the notion of a ...
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Prateep Chakraborty
(The Institute of Mathematical Sciences, 2014)
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Arghya Sadhukan
(IMSc, 2017)
In this thesis, we have explored the representation theories of two prototypical
examples of finite and infinite groups, the symmetric group and the general linear group, over the base field of complex numbers. More ...
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Kamalakshya Mahatab
(, 2012-07-17)
The non-negative solutions of linear homogeneous Diophantine equations are studied
using the geometric theory of convex polytopes. After a brief introduction to the theory of convex polytopes and its relation to solutions ...