Abelian system

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• Abelian variety — In mathematics, particularly in algebraic geometry, complex analysis and number theory, an Abelian variety is a projective algebraic variety that is at the same time an algebraic group, i.e., has a group law that can be defined by regular… …   Wikipedia

• Abelian group — For other uses, see Abelian (disambiguation). Abelian group is also an archaic name for the symplectic group Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product,… …   Wikipedia

• System of imprimitivity — The concept of system of imprimitivity is used in mathematics, particularly in algebra and analysis, both within the context of the theory of group representations. It was used by George Mackey as the basis for his theory of induced unitary… …   Wikipedia

• Abelian — /euh bee lee euhn, euh beel yeuhn/, adj. Math. 1. of or pertaining to Niels Henrik Abel or his theorems. 2. pertaining to an algebraic system in which an operation is commutative: an Abelian group. 3. pertaining to such an operation. [1905 10;… …   Universalium

• Abelian — A•be•li•an [[t]əˈbi li ən, əˈbil yən[/t]] adj. math. of or pertaining to an algebraic system in which an operation is commutative • Etymology: 1905–10; after Niels Henrik Abel (1802–29), Norwegian mathematician …   From formal English to slang

• Compatible system of ℓ-adic representations — In number theory, a compatible system of ℓ adic representations is an abstraction of certain important families of ℓ adic Galois representations, indexed by prime numbers ℓ, that have compatibility properties for almost all ℓ. Prototypical… …   Wikipedia

• Linear system of divisors — A linear system of divisors algebraicizes the classic geometric notion of a family of curves, as in the Apollonian circles. In algebraic geometry, a linear system of divisors is an algebraic generalization of the geometric notion of a family of… …   Wikipedia

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• Magma computer algebra system — Magma Developer(s) Computational Algebra Group, School of Mathematics and Statistics, University of Sydney Stable release 2.17 8 / May 27, 2011 Operating system …   Wikipedia

• Euler system — In mathematics, an Euler system is a technical device in the theory of Galois modules, first noticed as such in the work around 1990 by Victor Kolyvagin on Heegner points on modular elliptic curves. This concept has since undergone an axiomatic… …   Wikipedia

• Local system — In mathematics, local coefficients is an idea from algebraic topology, a kind of half way stage between homology theory or cohomology theory with coefficients in the usual sense, in a fixed abelian group A , and general sheaf cohomology which,… …   Wikipedia