We examine the Onsager algebra symmetry of τ -matrices in the superintegrable chiral Potts model. The comparison of Onsager algebra symmetry of the chiral Potts model with the sl2-loop algebra symmetry of six-vertex model at roots of unity is made from the aspect of functional relations using the Q-operator and fusion matrices. The discussion of Bethe ansatz for both models is conducted in a un...

Let the measure algebra of a topological group G be equipped with the topology of uniform convergence on bounded right uniformly equicontinuous sets of functions. Convolution is separately continuous on the measure algebra, and it is jointly continuous if and only if G has the SIN property. On the space LUC(G)∗ which includes the measure algebra, convolution is also jointly continuous if and on...

This paper describes a new object-oriented model and query algebra that will be used as an input language for the query optimizers that are being built as a part of the EREQ project. The model adopts a uniform view of objects and values and separates syntactic, semantic, and implementation concerns. The algebra addresses issues of type-deened equality and duplicate elimination as well as extens...

We identify sufficient conditions for the construction of free language models for systems of Kleene algebra with additional equations. The construction applies to a broad class of extensions of KA and provides a uniform approach to deductive completeness.

Let g be a complex simple Lie algebra and b a fixed Borel subalgebra of g. We shall describe the abelian ideals of b in a uniform way, that is, independent of the classification of complex simple Lie algebras.

It is shown how to embed the polydisk algebras (finite and infinite ones) into the disk algebra A(D). As a consequence, one obtains uniform closed subalgebras of A(D) which have arbitrarily prescribed stable ranks.