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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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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. ...
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Pampa Paul
(The Institute of Mathematical Sciences, 2013)
In this thesis, to each Borel-de Siebenthal discrete series representation of G(0), the author would associate a holomorphic discrete series representation of K*(0). The main aim of the thesis is to compare the restrictions ...
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Tekumalla, Achyuta Rau
(, 2009-08-05)
The generalisations of Dirac Matrices and Clifford Algebra and their various mathematical features and physical applications have been systematically studied by many researchers. This study views the generalisations with ...
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Padma, R.
(, 2009-08-12)
In this thesis the researcher has proved the 'Mean Value theorems for a class of Dirichlet series' following Ramachandra's method. This method gives simple proof of known results, and infact gives an improvement of Good's ...
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Kamalakshya Mahatab
(The Institute of Mathematical Sciences, 2016)
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Kasturi Nagarajan
(2009-08-05)
This thesis studies multipliers on some of the Segal Algebras, and characterises various spaces of multipliers. Analogous results are obtained. The thesis yields characterisation of the multiplier spaces on the Segal ...
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Digjoy Paul
(The Institute of Mathematical Sciences, 2020)
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Krishanu Dan
(The Institute of Mathematical Sciences, 2015)
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Thandapani, E.
(, 2009-08-06)
The inequalities furnish a very general comparison principle in studying many qualitative as well as quantitative properties of solutions of related equations. The Gronwall inequality, an example of an inequality for ...
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Jyothsnaa, S.
(The Institute of Mathematical Sciences, 2019)
The study of growth and distribution of class numbers of number fields constitutes
a venerable theme in number theory. The origin of this theory can be traced to
Gauss’s Disquisitiones Arithmeticae.
One is immediately ...
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Keshab Chandra Bakshi
(The Institute of Mathematical Sciences, 2017)
In this thesis we examine Pimsner-Popa bases which are not necessarily orthonormal (as in the book of Jones and Sunder)
for an inclusion of subfactors of finite Jones' index and showed that this can also be done for ...
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Venkataraman, S.
(, 2009-08-11)
By a number field, we mean a finite extension of Q. If F is a number field, the ring of integers of F is the integral closure of Z in F. Since the ring of integers of F is finitely generated and torsion free, it is free ...
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Issan Patri
(The Institute of Mathematical Sciences, 2016)
In this thesis, we make study compact quantum groups from the viewpoint of group theory, ergodic theory
and operator algebras. We define and study the notion of inner automorphisms of compact quantum groups and
topological ...
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Parthasarathy, K.V.
(, 2009-08-06)
The main theme of this thesis is to study the Langevin equations arising in different physical contexts, in the light of Ito and Stratonovich theories. The areas of investigation broadly include fluctuation, dissipation ...