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Oorna Mitra
(The Institute of Mathematical Sciences, 2020)
This thesis addresses two problems, which are independent of each other.
In the first part, we study QI(Z n ), the quasi-isometry group of the finitely
generated abelian group Z n for n ≥ 2. We show that certain groups ...
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Venkatesan, K.
(2010-09-13)
The present Report consists of a collection of the reports, on Recent Experimental Data issued monthly during the year 1967. In the field of strong interactions, the main activity continues to be the discovery of new ...
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Venkatesan, K.
(2010-06-25)
This Report is a collection of the Reports on Recent Experimental Data issued monthly during the year 1964. The most important experiments reported here are the Violation of Cp invariance in (K2)^0 decays and the discovery ...
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Venkatesan, K.
(2010-07-01)
The present Report Comprises the set of reports on Recent Experimental Data issued every month during the year 1965. The most significant event of the year was the discovery of the antideuteron by Ledermann and his group ...
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Pooja Singla
(The Institute of Mathematical Sciences, 2010)
The irreducible complex representations and conjugacy classes of general linear groups over principal ideal local rings of length two with a fixed finite residue field is studied in this thesis. A canonical correspondence ...
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Arunkumar, G.
(The Institute of Mathematical Sciences, 2018)
Borcherds-Kac-Moody algebras (Borcherds algebras in short) were introduced by R.
Borcherds as a natural generalization of Kac-Moody algebras. The theory of Borcherds
algebras gained much interest because of its application ...
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Preena, Samuel
(The Institute of Mathematical Sciences, 2011)
From the combinatorial characterizations of right, left, and two sided Kazhdan-Lusztig cells of the symmetric groups, RSK bases are constructed for certain quotients by two sided ideals of the group ring and the Hecke ...
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Dray, T.; Manogue, C.A.
(2012-07-05)
Notes by: Biswajit Chakraborty & Sumitra Ranganathan. These notes are based on a series of lectures given by the authors at
the Institute of Mathematical Sciences in Madras. The lectures were intended to be pedagogical ...
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Krishna, M., Ed.
(2012-07-25)
In its seven decades of existence, Quantum Mechanics still has many results
which are believed not rigorously established, though routinely used in practice by Physicists. The question of unitarity of the S matrix is one ...
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Srikanth Tupurani
(The Institute of Mathematical Sciences, 2014)
This thesis deals with mathematical objects known as planar algebras. These were
introduced by Vaughan Jones in order to study the so-called ‘standard invariant’
of a II1-subfactor and have provided a powerful pictorial ...
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Shapiro, Harold S.
(2010-08-19)
These notes are based on lectures given at the Institute during January and February of 1967. In essence they constitute an introductory course in the theory of approximation(degree of approximation). The discussion is ...
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Sukumar Das Adhikari
(IMSc, 1989)
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Aaloka, Kanhere
(The Institute of Mathematical Sciences, 2009)
This thesis has three parts. In the first part an irreducible curve C in P^2 is considered. The Veronese map is used for mapping it to P^5 and the resolutions are computed. In the second part, looking into two distinct ...
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Rajesh, M.
(, 2009-08-26)
Some problems in the homogenization of partial differential equations are considered for this study. The process of obtaining the macroscopic or effective properties of materials having heterogeneities on a scale much ...
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Prem Prakash Pandey
(The Institute of Mathematical Sciences, 2013)
In this thesis the author has worked on three different problems. Some progress is reported on these three problems. The first problem considered is about "Higher Residue Symbols". Given a finite set S of integers, the ...
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Gudagudi, B. R.
(2012-05-31)
This report concentrates entirely on the concept of pathos graphs of a graph. The emphasis of the work has been on the graph theoretic properties of these special
kinds of graphs. Various characterizations and other results ...
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Anish Mallick
(The Institute of Mathematical Sciences, 2016)
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Dhriti Ranjan Dolai
(The Institute of Mathematical Sciences, 2015)
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Vimala, Walter
(2009-08-04)
The properties of Splines in Hilbert Space is studied in this thesis. The assumptions are simple and quit sufficient to establish the existence of minimal element for different types of constraint sets, the minimal element ...
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Seshadri Chintapalli
(The Institute of Mathematical Sciences, 2014)
This thesis is divided into two parts.
In the first part, it is proved that, the semistability of logarithmic de Rham sheaves on a smooth projective variety (X;D), under suitable conditions. This is related to existence ...