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Sachin Sharma
(The Institute of Mathematical Sciences, 2013)
The author studies Lusztig's t-analogue of weight multiplicities associated to the irreducible integrable highest weight modules of affine Kac-Moody algebras. First, for the level one representation of twisted affine ...
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Surya Ramana, D.
(, 2009-11-02)
This thesis is an expository account of a proof of the theorem of R.C.Cowsik and M.V. Nori (1978), which asserts that every algebraic curve in an affine space over a field of positive characteristic is a set theoretic ...
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Subrahmanya, M.R.
(2009-08-05)
In 1968 Rivlin posed a problem on Algebraic Polynomial; "Characterise those n-tuples {P1, P2, ... P(n-1)}of algebraic polynomials such that the degree of Pj is j for j = 0,1,2,..., n-1., for which there exists a real ...
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Avijit Nath
(The Institute of Mathematical Sciences, 2019)
Classical Dold manifolds were defined as the orbit space of Z 2 action on the product of a sphere and a complex projective space where Z 2 acts on the sphere by antipodal involution and the complex projective space by ...
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Uma, V.
(, 2009-09-09)
This thesis is devoted to a study of the cohomology and K-theory of complex toric bundles and the fundamental group of real toric varieties. Since the discovery of toric varieties in the early 1970's, the subject has ...
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Mubeena, T.
(The Institute of Mathematical Sciences, 2013)
Let G be a group and let Ø : Γ → Γ be an endomorphism. We define an action
g.x := gxØ(g-1), for g,x ε Γ, of Γ on itself. The Ø-twisted conjugacy
class of an element x ε Γ is the orbit of this action containing x. ...
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Sridhar P. Narayanan
(The Institute of Mathematical Sciences, 2021)
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Venkatesh, R.
(The Institute of Mathematical Sciences, 2013)
In the first part, we address a fundamental question, unique factorization of tensor products, that arises in representation theory. We consider integrable, category O modules of indecomposable symmetrizable Kac-Moody ...
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Dakshini, Bhattacharyya
(, 2009-08-18)
This thesis contributes to the problem of understanding the uniformizing Fuchsian groups for a family of plane algebraic curves by determining explicit first variational formulae for the generators of the Fuchsian groups ...
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Krishnan Rajkumar
(The Institute of Mathematical Sciences, 2013)
The author studies the gaps between consecutive zeros on the critical line for the Riemann zeta function, and some of its generalisations, namely, the Epstein zeta function and the Selberg class of functions. First a ...