When the isotypic subspaces of a representation are viewed as the eigenspaces of a symmetric linear transformation, isotypic projections may be achieved as eigenspace projections and computed using the Lanczos iteration. In this paper, we show how this approach gives rise to an efficient isotypic projection method for permutation representations of distance transitive graphs and the symmetric g...

The aim of this work is to study the notions of elementarily equivalent and isotypic knowledge bases. We prove that isotypic knowledge bases are informationally equivalent. Mathematics Subject Classification (2010). Primary 08A70; Secondary 68T30.

In the present review we address oral tolerance as an important biological phenomenon and discuss how it is affected by aging. Other factors such as frequency of feeding and previous digestion of the antigen also seem to influence the establishment of oral tolerance. We also analyze immunoglobulin isotypes of specific antibodies formed by tolerant and immunized animals of different ages submitt...

We introduce the class of isotypic 2-representations for finitary 2categories and the notion of inflation of 2-representations. Under some natural assumptions we show that isotypic 2-representations are equivalent to inflations of cell 2-representations.

A significant proportion of hemophilia A patients receiving transfusions of factor VIII (FVIII) develop a specific antibody response towards FVIII. These antibodies are usually detected by assays in which they inhibit the function of the molecule, such as the Bethesda clotting test. We have prepared anti-FVIII antibodies by specific immunoadsorption from the plasma of four hemophiliacs with sta...

The q; t-Macdonald polynomials are conjectured by Garsia and Haiman to have a representation theoretic interpretation in terms of the Sn-module M spanned by the derivatives of a certain polynomial (x1; x2; : : : ; xn; y1; y2; : : : ; yn). The diagonal action of a permutation 2 Sn on a polynomial P = P (x1; x2; : : : ; xn; y1; y2; : : : ; yn) is de ned by setting P = P (x 1 ; x 2 ; : : : ; x n; ...