we develop a theory of stratified $lm$-filters which generalizes the theory of stratified $l$-filters. our stratification condition explicitly depends on a suitable mapping between the lattices $l$ and $m$. if $l$ and $m$ are identical and the mapping is the identity mapping, then we obtain the theory of stratified $l$-filters. based on the stratified $lm$-filters, a general theory of lattice-v...

We consider a classical condensed matter theory in a Newtonian framework where conservation laws ∂tρ+ ∂i(ρv ) = 0 ∂t(ρv ) + ∂i(ρv v + p) = 0 are related with the Lagrange formalism in a natural way. For an “effective Lorentz metric” gμν it is equivalent to a metric theory of gravity close to general relativity with Lagrangian L = LGR − (8πG)(Υg − Ξ(g + g + g)) √−g We consider the differences be...

In this article, we shall discuss some recent developments and applications of the local spectral theory for linear operators on Banach spaces. Special emphasis will be given to those parts of operator theory, where spectral theory, harmonic analysis, and the theory of Banach algebras overlap and interact. Along this line, we shall present the recent progress of the theory of quotients and rest...

We use the crystal isomorphisms of Fock space to describe two maps on partitions and multipartitions which naturally appear in basis theory for quantum groups affine type $A$ representation Hecke algebras $G(l,l,n)$.

Let f ∈ Q[x] be an irreducible polynomial of degree n. Then the splitting field L ≥ Q of f is a normal extension. We want to determine the Galois group G = Gal(f) = Gal(L/Q) of f which is the group of all field automorphisms of this extension. This task is basic in computational number theory [Coh93] as the Galois group determines a lot of properties of the field extension defined by f . Becaus...