Now showing items 1-5 of 5

    • Asymptotic theory of characters of the symmetric groups 

      Kurtaran, Elif (Bilkent University, 1996)
      In this work, we studied the connection between ramified coverings of Riemann surfaces tt : X V oi degree n and characters of symmetric group Sn- We considered asymptotics of characters of as n —> oo and normalized characters ...
    • Explicit reciprocity laws 

      Adalı, Ali (Bilkent University, 2010)
      Quadratic reciprocity law was conjectured by Euler and Legendre, and proved by Gauss. Gauss made first generalizations of this relation to higher fields and derived cubic and biquadratic reciprocity laws. Eisenstein and ...
    • Geometry and matrix spectral problems 

      Altunbulak, Murat (Bilkent University, 2002)
      The aim of this thesis is to give a survey and applications of some recent work of Klyachko, Knutson and Tao that characterizes eigenvalues of sum of Hermitian matrices and decomposition of tensor products of representations of ...
    • Hyperdeterminants, entangled states, and invariant theory 

      Şen, Emre (Bilkent University, 2013)
      In [1] and [2], A. Klyachko connects quantum entanglement and invariant theory so that entangled state of a quantum system can be explained by invariants of the system. After representing states in multidimensional ...
    • Schubert calculus, adjoint representation and moment polytopes 

      Sakar, Serkan (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 ...