Some multiplicative aspects of ideal structure theory

Multiplicative Ideal Theory

Some aspects of group theory

Our goal in this section will be to collect some standard examples of finite groups. The main emphasis will be on realizing them as subgroups of GL(n,R) or GL(n,C). Cyclic groups: For a natural number n, let Z/nZ be the standard cyclic group of order n. We denote its elements by 0, 1, . . . , n − 1, and 1 is a generator. Another model for the cyclic group of order n is the nth roots of unity, o...

The interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics

This paper surveys and develops links between polynomial invariants of finite groups, factorization theory of Krull domains, and product-one sequences over finite groups. The goal is to gain a better understanding of the multiplicative ideal theory of invariant rings, and connections between the Noether number and the Davenport constants of finite groups.

Higgs Physics at the Lhc: Some Theory Aspects * Higgs Physics at the Lhc: Some Theory Aspects

In these lecture notes we review some prospect for the upcoming LHC experiments in view of the exploration of the Standard Model (SM) or its minimal Supersymmetric extension (MSSM). We focus on some theoretical aspects concerning the Higgs sector of the two models. We give results for the precision observables MW and mt and their impact on the indirect determination of the Higgs sector. We furt...

Some aspects of fusion in estimation theory

In this correspondence we consider the problem of fusion in estimation theory. Our primary concern is directed toward finding a method of fusing or combining a finite number of estimates of a fixed second order random variable X in order to achieve a single "best" estimate of X: Our concern throughout this paper is directed toward minimizing the mean-square error (mse). In this context, for an ...