Gravitational waves from inspiralling compact binaries can be reliably extracted from a noisy detector output only if the template used in the detection is a faithful representation of the true signal. In this article we suggest a new approach to constructing faithful signal models.

We study the regular representation ρζ of the single-fermion algebra Aζ , i.e., c2 = c+2 = 0, cc+ + c+c = ζ 1, for ζ ∈ [0, 1]. We show that ρ0 is a four-dimensional nonunitary representation of A0 which is faithfully irreducible (it does not admit a proper faithful subrepresentation). Moreover, ρ0 is the minimal faithfully irreducible representation of A0 in the sense that every faithful repres...

We show the set of faithful representations of a closed orientable hyperbolic surface group is dense in both irreducible components of the PSL2(K) representation variety, where K = C or R, answering a question of W. Goldman. We also prove the existence of faithful representations into PU(2, 1) with certain nonintegral Toledo invariants.

From our previous paper, it is known that the Magnus representation of the Torelli group is not faithful. In this paper, we characterize the kernel of its representation for a certain kind of elements.

The Lawrence representation Ln,m is a family of homological representation of the braid group Bn, which specializes to the reduced Burau and the Lawrence-Krammer representation when m is 1 and 2. In this article we show that the Lawrence representation is faithful for m ≥ 2.

This paper is a comprehensive study of the nest representations for the free semigroupoid algebra LG of countable directed graph G as well as its norm-closed counterpart, the tensor algebra T (G). We prove that the finite dimensional nest representations separate the points in LG, and a fortiori, in T (G). The irreducible finite dimensional representations separate the points in LG if and only ...

We describe irreducible conformal subalgebras of CendN and build the structure theory of associative conformal algebras with finite faithful representation.

We describe irreducible conformal subalgebras of CendN and build the structure theory of associative conformal algebras with finite faithful representation.