isotypical

[i″so-tip´ĭ-kal]

of the same kind.

isotypical

(ī-sō-tĭp′ĭ-kăl) [″ + typos, mark]

Belonging to the same variety or classification.

References in periodicals archive ?

In the special algebro-geometric case, where Y is the dual unit circle bundle of a positive line bundle on a complex projective manifold, H(Y) is the orthogonal direct sum of its isotypical components [H.sub.k](Y), k = 0,1,2, ..., under the [S.sup.1]-action; correspondingly, [PI] = [[direct sum].sub.k][[PI].sub.k], where [[PI].sub.k] is the orthogonal projector onto [H.sub.k](Y); since [H.sub.k](Y) is finite-dimensional, [[PI].sub.k] is a smoothing operator; therefore, its Schwartz kernel is a [C.sup.[infinity]] function on Y x Y.

let [H.sub.k]([X.sub.r]) [subset] H([X.sub.r]) be the finite-dimensional kth isotypical component of H([X.sub.r]) with respect to the standard [S.sup.1]-action.

Szego Kernels and Asymptotic Expansions for Legendre Polynomials

Data were expressed as a percentage of positive cells corrected for the cells marked with the isotypical control antibody of flow cytometry.

Dietary lutein supplementation on diet digestibility and blood parameters of dogs/ Suplementacao dietetica de luteina na digestibilidade da dieta e parametros sanguineos em caes

The homomorphism [alpha] induces the structure of a G representation to H denoted by [H.sub.[alpha]] and we have a canonical decomposition of [H.sub.[alpha]] in isotypical components

where Irrep(G) denotes the isomorphism classes of irreducible representations of G, V is a representative of its isomorphism class of irreducible representation and [H.sup.V.sub.[alpha]] is the isotypical subspace associated to V.

We say that the homomorphism is stable if all the isotypical components of [H.sub.[alpha]] are either infinite dimensional or zero dimensional.

Take the isotypical decomposition of H [congruent to] [[direct sum].sub.W[member of]C]s [H.sup.W.sub.[alpha]] defined by [alpha].

Note that the homomorphism [PHI](Z) only disagrees with a on the subspace [mathematical expression not reproducible], that the isotypical subspace of the homomorphism [PHI](Z) associated to V is precisely ev(V [cross product] Z), i.e.

which implies that [sigma]([PHI](Z)) induces a G-equivariant unitary isomorphism between the isotypical components

is injective since for abelian groups the isotypical spaces determine the homomorphism.

Take the isotypical part corresponding to the irreducible representations in S ([??])

The homomorphisms [mathematical expression not reproducible], induce decompositions of H by isotypical components [mathematical expression not reproducible].