- reflection algebra
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Универсальный англо-русский словарь. Академик.ру. 2011.
reflection algebra
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Reflection (linear algebra) — In linear algebra, a reflection is a linear transformation that squares to the identity ( R 2 = I , where R is in K dimensional space), also known as an involution in the general linear group. In addition to reflections across hyperplanes, the… … Wikipedia
Reflection group — A reflection group is a group action, acting on a finite dimensional vector space, which is generated by reflections: elements that fix a hyperplane in space pointwise.For example, with regard to ordinary reflections in planes in 3D, a reflection … Wikipedia
Clifford algebra — In mathematics, Clifford algebras are a type of associative algebra. They can be thought of as one of the possible generalizations of the complex numbers and quaternions.[1][2] The theory of Clifford algebras is intimately connected with the… … Wikipedia
Symmetric algebra — In mathematics, the symmetric algebra S ( V ) (also denoted Sym ( V )) on a vector space V over a field K is the free commutative unital associative K algebra containing V .It corresponds to polynomials with indeterminates in V , without choosing … Wikipedia
Complex reflection group — In mathematics, a complex reflection group is a group acting on a finite dimensional complex vector space, that is generated by complex reflections: non trivial elements that fix a complex hyperplane in space pointwise. (Complex reflections are… … Wikipedia
Timeline of algebra and geometry — A timeline of algebra and geometryBefore 1000 BC* ca. 2000 BC Scotland, Carved Stone Balls exhibit a variety of symmetries including all of the symmetries of Platonic solids. * 1800 BC Moscow Mathematical Papyrus, findings volume of a frustum *… … Wikipedia
Point reflection — In geometry, a point reflection is a type of isometry of Euclidean space. It is a reflection whose mirror is a single point. An object that is invariant under a point reflection is said to possess point symmetry.In two dimensions, a point… … Wikipedia
Monster vertex algebra — The monster vertex algebra is a vertex algebra acted on by the monster group that was constructed by Igor Frenkel, James Lepowsky, and Arne Meurman. R. Borcherds used it to prove the monstrous moonshine conjectures, by applying the no ghost… … Wikipedia
Theorems and definitions in linear algebra — This article collects the main theorems and definitions in linear algebra. Vector spaces A vector space( or linear space) V over a number field² F consists of a set on which two operations (called addition and scalar multiplication, respectively) … Wikipedia
Orthogonal matrix — In linear algebra, an orthogonal matrix (less commonly called orthonormal matrix[1]), is a square matrix with real entries whose columns and rows are orthogonal unit vectors (i.e., orthonormal vectors). Equivalently, a matrix Q is orthogonal if… … Wikipedia
Orthogonal group — Group theory Group theory … Wikipedia
