Browsing by Subject "polarization"

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    Invariant rings of modular P-groups
    (2013) Toper, Ceren Coşkun
    We consider a finite group acting as linear substitutions on a polynomial ring and study the corresponding ring of invariants. Computing the invariant ring and finding its ring theoretical properties is a classical problem. We focus on the modular case where the characteristic of the field divides the order of the group. We review invariants of basic modular actions and give explicit descriptions of invariants of small dimensional actions. We also discuss a recent algorithm that computes the invariant ring of a modular p-group up to a localization and we apply this algorithm to invariants of indecomposable representations of a cyclic group of prime order.
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    Quantum statistics of light interacting with matter
    (1999) Müstecaplıoğlu, ÖE
    Studies on some systems in which light interacts with matter are performed from quantum statistical point of view. As a result of these studies a novel effect which can be utilized for detecting squeezed phonons is predicted; detection of non-classical states of Bose type excitations in solids and their classification by Raman correlation spectroscopy are discussed; a new approach to the polarization of light is developed.