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generalized character

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  • Generalized Verma module — Generalized Verma modules are object in the representation theory of Lie algebras, a field in mathematics. They were studied originally by James Lepowsky in seventies. The motivation for their study is that their homomorphisms correspond to… …   Wikipedia

  • Generalized Riemann hypothesis — The Riemann hypothesis is one of the most important conjectures in mathematics. It is a statement about the zeros of the Riemann zeta function. Various geometrical and arithmetical objects can be described by so called global L functions, which… …   Wikipedia

  • Generalized Kac–Moody algebra — In mathematics, a generalized Kac–Moody algebra is a Lie algebra that is similar to a Kac–Moody algebra, except that it is allowed to have imaginary simple roots. Generalized Kac–Moody algebras are also sometimes called GKM… …   Wikipedia

  • Character theory — This article refers to the use of the term character theory in mathematics. For the media studies definition, see Character theory (Media). In mathematics, more specifically in group theory, the character of a group representation is a function… …   Wikipedia

  • Character (computing) — In computer and machine based telecommunications terminology, a character is a unit of information that roughly corresponds to a grapheme, grapheme like unit, or symbol, such as in an alphabet or syllabary in the written form of a natural… …   Wikipedia

  • Character sum — In mathematics, a character sum is a sum of values of a Dirichlet character χ modulo N, taken over a given range of values of n. Such sums are basic in a number of questions, for example in the distribution of quadratic residues, and in… …   Wikipedia

  • character piece — Music. a short, simple piece, usually for piano, of a type developed chiefly during the 19th century, often of a descriptive or seemingly improvisatory character. * * * ▪ music       relatively brief musical composition, usually for piano,… …   Universalium

  • generalized — adj. [L. genus, kind] A comparative term used in biology in contrast to specialized or cenogenetic, indicating an ancient or long standing character when compared with one or more newly evolved …   Dictionary of invertebrate zoology

  • generalized — adj. made general, applied in a general manner generalize (Amer.) gen·er·al·ize || dÊ’enÉ™rÉ™laɪz v. make general or indefinite statements; form a general principle; conclude, infer; make generally applicable; give a general character to… …   English contemporary dictionary

  • Weyl character formula — In mathematics, the Weyl character formula in representation theory describes the characters of irreducible representations of compact Lie groups in terms of their highest weights. It is named after Hermann Weyl, who proved it in the late… …   Wikipedia

  • Stock character — A stock character is one which relies heavily on cultural types or names for his or her personality, manner of speech, and other characteristics. In their most general form, stock characters are related to literary archetypes, but they are often… …   Wikipedia

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