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Prateep Chakraborty
(The Institute of Mathematical Sciences, 2014)
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Stone, Marshall H.
(2010-05-21)
This Report 'Lectures on Preliminaries to Functional Analysis', consists of 6 chapters. Chapter 1 gives an introduction about semi-metric, and metric spaces. Some examples, Comparison, Congruences, Equivalence classes ...
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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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Alladi Ramakrishnan
(2011-11-03)
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Santhanam, T.S.
(2010-09-03)
The introductory chapter on Elementary particles gives an account of Interaction between particles, like Electromagnetic interaction, Strong interactions, weak interactions and it also reviews the Dirac Equation. This ...
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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. ...
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Unni, K.R.
(2010-07-01)
Almost 48 Definitions, and 34 Theorems are stated in these lectures about 'Normed linear Spaces' and 'Hilbert Spaces'. Proof of the Theorems are given and sometimes with appropriate exercises. Corollaries, Lemmas and ...
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Eliezer, C. J.
(2012-07-04)
The concept of symmetry plays a key role in physics, and the mathematical theory of groups and algebras is the appropriate means for exploring and expressing this symmetry. This short course aimed to,
a) to seek ...
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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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Balachandran, A.P.
(2009-11-04)
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Roman, P.
(2010-04-09)
The idea behind the dispersion relation is as follows: A Physically significant function such as the scattering amplitude is considered, which is in general a function of the real variable k(momentum) and 'theta' (the ...
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Henry, P. Stapp
(2010-05-27)
The objectives of these lectures aims to provide a systematic development of essential features of elementary particle theory from pure S-matrix principle. Some of the basic relationships of tensor and spinor analysis are ...
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Good, R.H.
(2010-09-09)
The problem considered here is that of describing free particles and antiparticles of definite nonzero mass m, spin s = 0, 1/2, 1, 3/2 and with internal symmetry. The particle is described by a wave function, the basis ...
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