The aim of this paper is to give some connections between the structure of an abelian finite group and the structure of its subgroup lattice. Let (G, +) be an abelian group. Then the set L(G) of subgroups of G is a modular and complete lattice. Moreover, we suppose that G is finite of order n. If L n is the divisors lattice of n, then the following function is well defined: ord : L(G) −→ L n , ...

We study the q-Cli ord algebras Clq2(N; c ), called FRT{Cli ord algebras, introduced by Faddeev, Reshetikhin and Takhtajan. It is shown that Clq2(N; c ) acts on the q-exterior algebra (O q2 ). Moreover, explicit formulas for the embedding of Uq2(soN ) into Clq2(N; c ) and its relation to the vector and spin representations of Uq2(soN ) are given and proved. MSC 2000: 81R50, 15A66

100-150 ord) Responding to the climate change challenge requires a massive development and diffusion of carbon neutral technologies and, thus, emergence and growth of new socio-technical systems. This paper contributes to an improved understanding of the formative phase of new technological innovation systems (TIS) by outlining a framework for analysing TIS dynamics in terms of structural growt...

Let a(x), b(x), p(x) be formal power series in the indeterminate x over C (i.e., elements of the ring C [[x]] of such series) such that ord a(x) = 0, ord p(x) = 1 and p(x) is embeddable into an analytic iteration group (π(s, x))s∈C in C [[x]]. By a covariant embedding of the linear functional equation φ(p(x)) = a(x)φ(x) + b(x), (L) (for the unknown series φ(x) ∈ C [[x]]) with respect to (π(s, x...

Sammensatte ord skaper problemer ved ulike former for automatisk analyse av vokabularet i en tekst, f.eks, ved frekvensstudier. Problemet består i at menings­ innholdet i et sammensatt ord i mange tilfeller også kan beskrives i et uttrykk med de tilsvarende usammen­ satte ordene. I tekstsøking kan f.eks, de sammensatte ordene føre til at man ikke finner de dokumentene man søker etter fordi det ...

vanishes Note that index D M unlike the dimension of the ker nel and the dimension of the cokernel of D M is independent of the metric used in the construction of D M In fact according to the Atiyah Singer Index Theorem it is equal to a topological invariant A M the A genus ofM cf Ch III Thm We recall that A M is a characteristic number de ned by evaluating a certain polyno mial in the Pontrjag...