Sentence examples for regular representation from inspiring English sources

Let λ C∗max(G →C∗red G) be the regular representation.

Absolutely continuous functionals are intimately related to maps which intertwine a given *-extendible representation with the left regular representation.

The model uses a regular representation of the materials' microstructure and a simplified categorisation of grain boundaries as either resistant or susceptible to environment assisted cracking.

These target range maps are derived from the temporal delay between emitted call and returning echo and constitute a regular representation of time (chronotopy).

The model is based on a regular representation of material microstructure and a categorisation of grain boundaries as susceptible and resistant to corrosion.

Let G be SL3(C), λ : C*(G →Cr*(G) the morphism induced by the regular representation, and ε : C*(G)→ C the trivial representation.

The subcategory R ′ consists of all regular representations with no indecomposable direct summand in T ∞, or equivalently, it is the full subcategory of all representations M such that M α is bijective.

We define the analogue of the regular representations for infinite-dimensional groups using quasi-invariant measures on such groups and present the criterium of irreducibility and equivalence of constructed representations for groups of the interval and circle diffeomorphisms.

In this paper, we prove that two compact hyperbolic manifolds Γ1\Hn and Γ2\Hn are strongly isospectral if and only if the regular representations of the full group G of isometries of the hyperbolic space Hn into L2 Γ1\G) and L2 Γ2\G) are equivalent.

In particular, every subrepresentation of the left-regular representation of a free group has this property.

Let ˜X be its Oshima compactification, and (π,C ˜X)) the left-regular representation of G on ˜X.