Amalgamation Property It is known that the variety of modal algebras has the Amalgamation Property AP and the Superamalgamation Property SAP see [3] for these properties and the

Linear positive operators, Simultaneous approximation, Voronovaskaja-type asymptotic formula, Degree of approximation, Modulus of continuity.... and there holds the recurrence

In [1] a different kind of trace result was obtained by introducing a weighted Sobolev space in Ω , such that the restriction to the boundary of functions in that space are in Lp ∂Ω..

Λ[G] with G an abelian group and Λ an hereditary algebra of tame representation type The aim of this section is to describe all possible actions of a finite abelian group on an

Given any simple biorientable graph it is shown that there exists a weak *-Hopf algebra constructed on the vector space of graded endomorphisms of essential paths on the graph.. This

The Shapovalov determinant for a class of pointed Hopf algebras is calculated, including quantized enveloping algebras, Lusztig’s small quantum groups, and quantized Lie superalgebras..

In the paper we consider semisimple Hopf algebras H with the following property: irreducible H-modules of the same dimension > 1 are isomorphic.. Then M is the unique irreducible

In more detail, one has the following Theorem: i The pair C, A, with C a modular tensor category and A a simple symmetric special Frobenius algebra in C, supplies all required

The previous equality relating global dimensions then follows from |Ak G| = |OE| and from the fact that, in the case of a quantum module E measuring a conformal embedding, the following

Simple twisted homogeneous racks We now explore when Proposition 3.10 applies to a simple twisted homogeneous rack with L an alternating group An , n ≥ 5, or a sporadic group.. This

The author [25] also introduced a new family of tensor invariants of the module category of a finite-dimensional semisimple and cosemisimple Hopf algebra A by using the quasitriangular

In this way, we arrive at the opposite and coopposite quasi-Hopf algebra Aop cop , which is again a quasi-Hopf algebra with respect to the following structure elements: Its counit and

The goal of this paper is to verify one direction of this conjecture for a large class of braided fusion categories–namely, we will show that if C is a non-weakly-integral braided

• We briefly mention one construction of an interesting braided category that doesn’t seem to fit nicely into one of our routes: While the usual representation category of a group is

In Section 3 we show that the BH -module StH Θ is i a finitely generated projective generator if H is finite-dimensional see Theorem 3.6, ii faithfully flat if H is cocommutative see

Representation theory of pointed Hopf algebras over S3 In this Section we investigate the representations of the finite dimensional pointed Hopf algebras over S3.. This algebra was

Morita theory In Morita theorems for monoidal categories the associativity of the tensor product of modules over an algebra is needed in the formation of a Morita context, but also for

We determine all C ∗ -balanced bilinear forms on C, and we deduce that C is left or right quasi-co-Frobenius if and only if C is left or right co-Frobenius, and this is equivalent to

In this paper, we prove two general results that enable us to enlarge the class of Hopf algebras that are known to be inner linear: the first one is a characterization by using the Hopf

Conferences covered the main topics of research in the areas of quantum groups, classification of Hopf algebras and related objects, tensor categories and its applications to physics

To say the least, such illustrations substantially change the perspective on Fourier transforms and suggest that introductory courses in real analysis should follow-up standard coverage

Koskela and Rohde [21] dealt with the upper bound on the packing dimension of mean porous sets using a more general definition, in the small porosity case.. It turned out that the

We shall see that the essence of this kind of results is in the spectral invariance with respect to different Banach algebras or, more precisely, in the preservation of spectral decay

Since the dual s-tensor norm α′ is finitely generated, we can rephrase the Extension Lemma 2.2 in terms of maximal polynomial ideals and give a positive answer to the question for ideals

It was found in [6] that the right space that plays the role of a Sobolev space defined via derivatives in the Laguerre setting is called Laguerre-Sobolev spaces, denoted by Wαk,p y γ ,

Hardy spaces associated with Bessel operators Muckenhoupt and Stein [36] studied Lp -boundedness properties of maximal operators and Riesz transforms in the Bessel setting... In the

Las visitas de Rey Pastor a Europa en los veranos de Buenos Aires, y su deseo de conservar también una presencia en Madrid, donde la universidad le había mantenido abierta su cátedra,

Mohyud-Din, Variational iteration method for solving fifth-order boundary value problems using He’s polynomials, Math.. Mohyud-Din, Modified variational iteration method for heat and

More can be said: Weyls theorems and property ω for a bounded operator T are liable to fail also under small perturbations K, if “small” is interpreted in the sense of compact or

NECESSARY AND SUFFICIENT CONDITIONS FOR THE SCHUR HARMONIC CONVEXITY OR CONCAVITY OF THE EXTENDED MEAN VALUES∗ WEI-FENG XIA, YU-MING CHU∗∗ AND GEN-DI WANG Abstract.. They are of