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Chandan Maity
(The Institute of Mathematical Sciences, 2017)
The nilpotent orbits in the semisimple Lie algebras, under the adjoint action of the
associated semisimple Lie groups, form a rich class of homogeneous spaces. Such
orbits are studied at the interface of several ...
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Anoop, T. V.
(The Institute of Mathematical Sciences, 2011)
The main objective of this thesis is to find a large class of weight functions that admits a positive principal eigenvalue for the weighted eigenvalue problems for the Laplacian and the p-Laplacian.
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Anil Kumar, C.P.
(The Institute of Mathematical Sciences, 2014)
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Tapas Chatterjee
(The Institute of Mathematical Sciences, 2013)
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Krishanu Roy
(The Institute of Mathematical Sciences, 2020)
In this thesis, we undertake a systematic study of π-systems of symmetrizable
Kac-Moody algebras and regular subalgebras of affine Kac-Moody algebras.
A π-system Σ is a finite subset of the real roots of a Kac-Moody ...
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Ved Prakash, Gupta
(The Institute of Mathematical Sciences, 2009)
An identification between the planar algebra of the subgroup-subfactor R x H subset of R x G is given and the G-invariant planar subalgebra of the planar algebra of the bipartite graph *n (the graph with 1 odd and n even ...
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Sruthymurali
(The Institute of Mathematical Sciences, 2021)
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Sumit Giri
(The Institute of Mathematical Sciences, 2015)
This thesis is divided into two parts. In the first part,the main topic of interest, the title of this thesis is studied. While the second part studies a problem related to additive representation function related to ...
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Rupam Karmakar
(The Institute of Mathematical Sciences, 2020)
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Sunil L Naik
(The Institute of Mathematical Sciences, 2023)
The focal point of our thesis is to study prime divisors of non-zero Fourier coefficients of Hecke eigenforms. Let f be a non-CM normalized Hecke eigenform and for any natural number n, let a f (n) be its n-th Fourier ...
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Arijit Dey
(, 2013-01-25)
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Madhushree Basu
(The Institute of Mathematical Sciences, 2013)
This thesis is based on a few observations on applications and analogues
of certain features of Probability theory in non-commutative W*-probability
spaces. A non-commutative W* probability space is a pair (A, φ ) of an ...
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Nabanita Ray
(The Institute of Mathematical Science, 2020)
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Indumathi, V.
(2009-08-05)
This thesis deals with proximinal and chebychev subspaces of finite codimension in general normed linear spaces.
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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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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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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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Sukumar Das Adhikari
(IMSc, 1989)