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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 ...
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Sundar, S
(The Institute of Mathematical Sciences, 2011)
We study the non-commutative geometry of some quantum homogeneous spaces associated
with the quantum group SUq(n). First we consider the quantum space SUq(n)/SUq(n − 1)
called the odd dimensional quantum spheres and ...
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Umesh Vanktesh Dubey
(The Institute of Mathematical Sciences, 2012)
Given a quasi-projective scheme X with an action of a finite group G, consider the tensor triangulated category DG(X). The present study relates the spectrum of this category, as defined by P. Balmer, with the spectrum ...
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Sarbeswar Pal
(The Institute of Mathematical Sciences, 2011)
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Aritra Bhattacharya
(The Institute of Mathematical Sciences, 2024)
This thesis is divided in two parts. The rst part is about a conjecture of J.
Haglund on expansion of the (normalized) integral form Macdonald symmetric
functions in terms of the Schur basis. The second part of the thesis ...
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Snehajit Misra
(The Institute of Mathematical Sciences, 2019)
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Sandipan De
(The Institute of Mathematical Sciences, 2016)
This thesis deals with the mathematical objects known as planar algebras and
their connection with Hopf algebras and their Drinfeld doubles. The motivation
for this thesis comes from a series of talks delivered by Prof. ...