reducible group
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Group representation — In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces; in particular, they can be used to represent group elements as matrices so that the group… … Wikipedia
reducible — reducibility, reducibleness, n. reducibly, adv. /ri dooh seuh beuhl, dyooh /, adj. 1. capable of being reduced. 2. Math. a. of or pertaining to a polynomial that can be factored into the product of polynomials, each of lower degree. b. of or… … Universalium
Lorentz group — Group theory Group theory … Wikipedia
n-ary group — In mathematics, an n ary group (also n group, polyadic group or multiary group) is a generalization of a group to a set G with a n ary operation instead of a binary operation.[1] The axioms for an n ary group are defined in such a way as to… … Wikipedia
Space group — In mathematics and geometry, a space group is a symmetry group, usually for three dimensions, that divides space into discrete repeatable domains. In three dimensions, there are 219 unique types, or counted as 230 if chiral copies are considered… … 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
Reductive group — In mathematics, a reductive group is an algebraic group G such that the unipotent radical of the identity component of G is trivial. Any semisimple algebraic group and any algebraic torus is reductive, as is any general linear group.The name… … Wikipedia
Representation theory of the Poincaré group — In mathematics, the representation theory of the double cover of the Poincaré group is an example of the theory for a Lie group, in a case that is neither a compact group nor a semisimple group. It is important in relation with theoretical… … Wikipedia
Modular group — For a group whose lattice of subgroups is modular see Iwasawa group. In mathematics, the modular group Γ is a fundamental object of study in number theory, geometry, algebra, and many other areas of advanced mathematics. The modular group can be… … Wikipedia
Braid group — In mathematics, the braid group on n strands, denoted by B n , is a certain group which has an intuitive geometrical representation, and in a sense generalizes the symmetric group S n . Here, n is a natural number; if n gt; 1, then B n is an… … Wikipedia
Holonomy — Parallel transport on a sphere depends on the path. Transporting from A → N → B → A yields a vector different from the initial vector. This failure to return to the initial vector is measured by the holonomy of the connection. In differential… … Wikipedia
