faithful representation
21Ado's theorem — In mathematics, Ado s theorem states that every finite dimensional Lie algebra L over a field K of characteristic zero can be viewed as a Lie algebra of square matrices under the commutator bracket. More precisely, the theorem states that L has a …
22Lie algebra — In mathematics, a Lie algebra is an algebraic structure whose main use is in studying geometric objects such as Lie groups and differentiable manifolds. Lie algebras were introduced to study the concept of infinitesimal transformations. The term… …
23Linear algebraic group — In mathematics, a linear algebraic group is a subgroup of the group of invertible n times; n matrices (under matrix multiplication) that is defined by polynomial equations. An example is the orthogonal group, defined by the relation MTM = I where …
24Monster group — For infinite groups with all nontrivial proper subgroups isomorphic, see Tarski monster group. Group theory …
25List of mathematics articles (F) — NOTOC F F₄ F algebra F coalgebra F distribution F divergence Fσ set F space F test F theory F. and M. Riesz theorem F1 Score Faà di Bruno s formula Face (geometry) Face configuration Face diagonal Facet (mathematics) Facetting… …
26Compact group — In mathematics, a compact (topological, often understood) group is a topological group whose topology is compact. Compact groups are a natural generalisation of finite groups with the discrete topology and have properties that carry over in… …
27Gelfand–Naimark theorem — In mathematics, the Gelfand–Naimark theorem states that an arbitrary C* algebra A is isometrically * isomorphic to a C* algebra of bounded operators on a Hilbert space. This result was a significant point in the development of the theory of C*… …
28Analog-to-digital converter — An analog to digital converter (abbreviated ADC, A/D or A to D) is an electronic integrated circuit, which converts continuous signals to discrete digital numbers. The reverse operation is performed by a digital to analog converter… …
29mirror — mirrorlike, adj. /mir euhr/, n. 1. a reflecting surface, originally of polished metal but now usually of glass with a silvery, metallic, or amalgam backing. 2. such a surface set into a frame, attached to a handle, etc., for use in viewing… …
30Anatomy of Criticism — Herman Northrop Frye s Anatomy of Criticism: Four Essays (Princeton University Press, 1957) attempts to formulate an overall view of the scope, theory, principles, and techniques of literary criticism derived exclusively from literature. Frye… …
