Group Field Theory: An Overview

Rational Choice Theory: An Overview

It seems easy to accept that rationality involves many features that cannot be summarized in terms of some straightforward formula, such as binary consistency.  However, this recognition does not immediately lead to alternative characterizations that might be regarded as satisfactory, even though the inadequacies of the traditional assumptions of rational behavior standard used in economic theo...

Rational Choice Theory: An Overview

It seems easy to accept that rationality involves many features that cannot be summarized in terms of some straightforward formula, such as binary consistency.  However, this recognition does not immediately lead to alternative characterizations that might be regarded as satisfactory, even though the inadequacies of the traditional assumptions of rational behavior standard used in economic theo...

Math 254a: Class Field Theory: an Overview

Class field theory relates abelian extensions of a given number field K to certain generalized ideal class groups ofK. The fundamental tool for doing this is Frobenius elements, and the Artin map obtained from them. Recall from lecture 24 that if L/K is an abelian extension (i.e., a Galois extension with abelian Galois group), and p is a prime of OK unramified in OL, then we defined Fr(p) ∈ Gal...

Quantum Group Schrödinger Field Theory

We show that a quantum deformation of quantum mechanics given in a previous work is equivalent to quantum mechanics on a nonlinear lattice with step size ∆x = (1− q)x. Then, based on this, we develop the basic formalism of quantum group Schrödinger field theory in one spatial quantum dimension, and explicitly exhibit the SUq(2) covariant algebras satisfied by the q-bosonic and q-fermionic Schrö...

An Overview of Field Computation