defined on n-tuples of commuting elements of G and invariant under simultaneous conjugation. Thus, in [HKR00] the study of nth Morava E-theory at a prime p leads to χ(g1, ..., gn) defined on gi of p-power order. On the other hand, the construction of equivariant elliptic cohomology in [Dev96] (which corresponds to n = 2) uses functions χ(g1, g2) as above but without restrictions on the order. T...

We establish that the open string star product in the zero momentum sector can be described as a continuous tensor product of mutually commuting two dimensional Moyal star products. Let the continuous variable κ ∈ [ 0,∞) parametrize the eigenvalues of the Neumann matrices; then the noncommutativity parameter is given by θ(κ) = 2 tanh( 4 ). For each κ, the Moyal coordinates are a linear combinat...

"This paper analyses whether the basic monocentric model of urban structure and commuting explains actual commuting in Europe, i.e. The Netherlands. As in the USA much wasteful commuting is established. The basic model has a low degree of explanatory power. In order to get more in line with actual commuting, the paper elaborates two alternatives to the basic model. Besides a deconcentrated mode...

We establish that the open string star product in the zero momentum sector can be described as a continuous tensor product of mutually commuting two dimensional Moyal star products. Let the continuous variable κ ∈ [ 0,∞) parametrize the eigenvalues of the Neumann matrices; then the noncommutativity parameter is given by θ(κ) = 2 tanh( 4 ). For each κ, the Moyal coordinates are a linear combinat...

This paper deals with bases in a finite–dimensional Hilbert space. Such a space can be realized as a subspace of the representation space of SU2 corresponding to an irreducible representation of SU2. The representation theory of SU2 is reconsidered via the use of two truncated deformed oscillators. This leads to replace the familiar scheme {j2, jz} by a scheme {j2, vra}, where the two–parameter...

The Cartan subalgebra of the quantum loop algebra Uq(Lsl2) is generated by a family of mutually commuting operators, responsible for the l-weight decomposition of finite dimensional Uq(Lsl2)-modules. The natural Jordan filtration induced by these operators is generically non-trivial on l-weight spaces of dimension greater than one. We derive, for every standard module of Uq(Lsl2), the dimension...

We provide a construction of sets of d/2 + 1 mutually unbiased bases (MUBs) in dimensions d = 4, 8 using maximal commuting classes of Pauli operators. We show that these incomplete sets cannot be extended further using the operators of the Pauli group. What is more, specific examples of sets of MUBs obtained using our construction are shown to be strongly unextendible; that is, there does not e...

A set of n tuples in a relation of a relational database design is tested tlpon the constraints of the join dependency. Some constraint equalities are found to be redundant. To remove thfs superEluity, the universe of atttbutes is partitioned into n dfsjolnt sets and a new notat.ion of join dependency is introduced. The checking time In each run of n tuples is significantly reduced by a factor ...

This paper deals with bases in a finite–dimensional Hilbert space. Such a space can be realized as a subspace of the representation space of SU2 corresponding to an irreducible representation of SU2. The representation theory of SU2 is reconsidered via the use of two truncated deformed oscillators. This leads to replace the familiar scheme {j2, jz} by a scheme {j2, vra}, where the two–parameter...

Generating relevant and manageable search results is of great interest in database queries and information retrieval nowadays. This paper proposes an approach to measuring relation compactness and to generating a compact set of query outcomes under a fuzzy relational data model. The approach has desirable properties that (1) the resultant compact set is unique and contains mutually distinct tup...