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absolutely irreducible representation

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  • Absolutely irreducible — In mathematics, absolutely irreducible is a term applied to linear representations or algebraic varieties over a field. It means that the object in question remains irreducible, even after any finite extension of the field of coefficients. In… …   Wikipedia

  • Irreducible (mathematics) — In mathematics, the term irreducible is used in several ways. * In abstract algebra, irreducible can be an abbreviation for irreducible element; for example an irreducible polynomial. * In representation theory, an irreducible representation is a …   Wikipedia

  • Gelfand pair — In mathematics, the expression Gelfand pair refers to a pair ( G ,  K ) consisting of a group G and a subgroup K that satisfies a certain property on restricted representations.When G is a finite group the simplest definition is, roughly speaking …   Wikipedia

  • Religion (Philosophies of) — Philosophies of religion Marcel, Jaspers, Levinas William Desmond Gabriel Marcel (1889–1973), Karl Jaspers (1883–1969) and Emmanuel Levinas (1906–) seem like a mere aggregate of thinkers. Jaspers, a German thinker who coined the phrase Existenz… …   History of philosophy

  • Schur's lemma — In mathematics, Schur s lemma is an elementary but extremely useful statement in representation theory of groups and algebras. In the group case it says that that if M and N are two finite dimensional irreducible representations of a group G and… …   Wikipedia

  • List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A …   Wikipedia

  • Serre conjecture (number theory) — The Quillen–Suslin theorem was also conjectured by Serre, and may also be called Serre s Conjecture. In mathematics, Jean Pierre Serre conjectured the following result regarding two dimensional Galois representations. This was a significant step… …   Wikipedia

  • Charles Sanders Peirce —  B …   Wikipedia

  • Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… …   Wikipedia

  • Idealism (italian) and after — Italian idealism and after Gentile, Croce and others Giacomo Rinaldi INTRODUCTION The history of twentieth century Italian philosophy is strongly influenced both by the peculiar character of its evolution in the preceding century and by… …   History of philosophy

  • Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… …   Wikipedia

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