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invariant isomorphism

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  • Invariant basis number — In mathematics, the invariant basis number (IBN) property of a ring R is the property that all free modules over R are similarly well behaved as vector spaces, with respect to the uniqueness of their ranks. Definition A ring R has invariant basis …   Wikipedia

  • Isomorphism-closed subcategory — A subcategory mathcal{A} of a category mathcal{B} is said to be isomorphism closed or replete if every mathcal{B} isomorphism h:A o B with Ainmathcal{A} belongs to mathcal{A}. This implies that both B and h^{ 1}:B o A belong to mathcal{A} as well …   Wikipedia

  • J-invariant — nome q on the unit diskIn mathematics, Klein s j invariant, regarded as a function of a complex variable tau;, is a modular function defined on the upper half plane of complex numbers. We can express it in terms of Jacobi s theta functions, in… …   Wikipedia

  • Casimir invariant — In mathematics, a Casimir invariant or Casimir operator is a distinguished element of the centre of the universal enveloping algebra of a Lie algebra. A prototypical example is the squared angular momentum operator, which is a Casimir invariant… …   Wikipedia

  • Normal invariant — In mathematics, a normal map is a concept in geometric topology due to William Browder which is of fundamental importance in surgery theory. Given a Poincaré complex X, a normal map on X endows the space, roughly speaking, with some of the… …   Wikipedia

  • List of mathematics articles (I) — NOTOC Ia IA automorphism ICER Icosagon Icosahedral 120 cell Icosahedral prism Icosahedral symmetry Icosahedron Icosian Calculus Icosian game Icosidodecadodecahedron Icosidodecahedron Icositetrachoric honeycomb Icositruncated dodecadodecahedron… …   Wikipedia

  • Cartan connection — In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the …   Wikipedia

  • Approximately finite dimensional C*-algebra — In C* algebras, an approximately finite dimensional, or AF, C* algebra is one that is the inductive limit of a sequence of finite dimensional C* algebras. Approximate finite dimensionality was first defined and described combinatorially by… …   Wikipedia

  • Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… …   Wikipedia

  • Spin representation — In mathematics, the spin representations are particular projective representations of the orthogonal or special orthogonal groups in arbitrary dimension and signature (i.e., including indefinite orthogonal groups). More precisely, they are… …   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

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