6 papers
Branching rules for the Weyl Groups of the Unitary and Orthogonal Lie Groups
Godofredo Iommi Amunategui
This note presents a procedure to determine the reduction of the irreducible and the induced characters of the symmetric group in terms of the irreducible and induced characters of…
Symbolic Languages and Ars Combinatoria
Godofredo Iommi Amunategui
This article analyses some paragraphs of the Dissertatio de Arte Combinatoria (1666) where G.W. Leibniz considers the syntax of a language with a given number of primitive terms. W…
On Lie Groups and The Theory of Complex Variables
Godofredo Iommi Amunategui
In this note we envisage the relation existing between the Lie Groups and the Theory of Complex Variables. In particular, it is shown that the dimensions of the irreducibles repres…
Nelson Goodman's qualia and the Discrete Cat Mapping
Godofredo Iommi Amunategui
In The Structure of Appearance Nelson Goodman aims at describing the world as composed of individuals. He builds his system on phenomenal qualities or qualia. We propose a mathemat…
An elementary non-recursive expression for the partition function P(n)
Godofredo Iommi Amunategui
Consideration of a classification of the number of partitions of a natural number according to the members of sub-partitions differing from unity leads to a non-recursive formula f…
On Nelson Goodman's final formulae for Primary Complexity
Godofredo Iommi Amunategui
In the Structure of Appearance and in Problems and Projects, Nelson Goodman has constructed a theory of complexity whose elements are the predicates of a system. One of his main re…