Browsing Dept. of Mathematics  Master's degree by Title
Now showing items 88107 of 119

The pandemic fusion system for endomorphism algebras of ppermutation modules
(Bilkent University, 201809)During the 1980's Puig developed a new approach to modular representation theory, introducing new plocal invariants and thereby extending Green's work on Galgebras. We investigate the Puig category, commenting on its ... 
Partial differential equations possessing the Painleve property
(Bilkent University, 1996)111 this tli(\sis, a))lying llie l^viiilovc tost (l(ivolo)('.(l by VV(hss, 'labor ainl t biriK'vale (VV1X9) investigatc'd the Pa.inleve property of Ibirgers’ ty)e of ('(piarioiis, KdV type of equations and the KP ... 
Plane sextics with a type E7 singular point
(Bilkent University, 2011)The computation of the fundamental grup of a plane sextic (i.e., curves B ⊂ P 2 ) still remain unanswered problem. There is an huge effort on this subject. In this thesis, we study plane sextic curves with a type E7 ... 
Projective resolutions over EIcategories
(Bilkent University, 2012)Representations of EIcategories occur naturally in algebraic Ktheory and algebraic topology (see [4], [10], [12]). In this thesis, we study EIcategory representations with finite projective dimension. We apply this ... 
Ramanujan's congruences for the partition function
(Bilkent University, 2009)In this thesis, we study Ramanujan’s congruences for the partition function and some of their combinatorial interpretations. Our main tools are from the theory of theta function. 
Real monomial Burnside rings and a decomposition of the the tom Dieck map
(Bilkent University, 2009)This thesis is mainly concerned with a decomposition of the reduced tom Dieck map die : f A(RG) → B(G) × into two maps die+ and die− of the real monomial Burnside ring. The key idea is to introduce a real Lefschetz ... 
Recursion operators and classification of integrable nonlinear equations
(Bilkent University, 2012)Recursion operators, if they exist, of nonlinear partial differential equations map symmetries to symmetries of these equations. It is this property that the integrable nonlinear partial differential equations possess ... 
Regular basis and functor Ext
(Bilkent University, 1994)This work is a study of the relation between the vanishing of Ext functor and the existence of regular bases in the cartesian product and tensor product of some special Kothe spaces. We give some new results concerning ... 
Representations of symmetric groups and structures of Lie algebra
(Bilkent University, 201708)The aim of this thesis construct structure of Free Lie Algebra L(V ) generated by nite dimensional vector space V and decompose into irreducible components of a given degree n. To splits into irreducible component, ... 
Reproducing kernel Hilbert spaces
(Bilkent University, 2005)In this thesis we make a survey of the theory of reproducing kernel Hilbert spaces associated with positive definite kernels and we illustrate their applications for interpolation problems of NevanlinnaPick type. Firstly ... 
Review of an approach to obstruction theory
(Bilkent University, 1994)In this work, we summarized an approach to obstruction tlieory developed by E. Thomas. We gave some illustrative examples to demonstrate the method. These are : 2plane fields on manifolds revi(iwing works of Thotnas, 3 ... 
Riemann boundary value problem
(Bilkent University, 2000) 
Schlesinger transformations of second discrete painleve equation
(Bilkent University, 2004) 
Schubert calculus, adjoint representation and moment polytopes
(Bilkent University, 2012)Let Hν denote the irreducible representation of the special unitary group SU(n) corresponding to Young diagram ν and let g = su(n) denote the Lie algebra of SU(n). One can show that Hν appears in the symmetric algebra ... 
Sectional curvature of standard static spacetimes
(Bilkent University, 2013)Curvature related geometric properties of warped product manifolds are given. The casual structure of Lorentzian warped products is reviewed. In particular, two wellknown examples of warped product spacetimes models, ... 
Simple functors of admissible linear categories
(Bilkent University, 2013)We review the notion of an admissible Rlinear category for a commutative unital ring R and we prove the classification theorem for simple functors of such a category by BarkerBoltje which states that there is a bijective ... 
Singularities of plane model of the modular curve Yo(l)
(Bilkent University, 1998) 
Smoothness of the green function for some special compact sets
(Bilkent University, 2010)Smoothness of the Green functions for some special compact sets, which are sequences of closed intervals with certain parameters, is described in terms of the function ϕ(δ) = 1 log 1 δ that gives the logarithmic measure ... 
Smoothness properties of Green's functions
(Bilkent University, 2014)Basic notions of potential theory are explained with illustrative examples. Many important properties, including the characteristic ones, of Green’s functions that are defined by the help of equilibrium measures are ... 
Some criteria of selfadjointness for unbounded operators in Hilbert spaces
(Bilkent University, 2013)This is a detailed presentation of some criteria of selfadjointness for unbounded operators in a Hilbert space, through operator Cauchy problems. We also include detailed preliminary results on unbounded linear operators ...