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Petersson algebra information


In mathematics, a Petersson algebra is a composition algebra over a field constructed from an order-3 automorphism of a Hurwitz algebra. They were first constructed by Petersson (1969).

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Petersson algebra

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mathematics, a Petersson algebra is a composition algebra over a field constructed from an order-3 automorphism of a Hurwitz algebra. They were first...

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Composition algebra

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algebras. Composition algebras without a multiplicative identity were found by H.P. Petersson (Petersson algebras) and Susumu Okubo (Okubo algebras)...

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Hecke algebra

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In mathematics, the Hecke algebra is the algebra generated by Hecke operators, which are named after Erich Hecke. The algebra is a commutative ring. In...

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Albert algebra

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algebras and exceptional groups, Springer Monographs in Mathematics, Berlin, New York: Springer-Verlag, ISBN 978-3-540-66337-9, MR 1763974 Petersson,...

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Generalized algebraic data type

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generalized algebraic data types were described by Augustsson & Petersson (1994) and based on pattern matching in ALF. Generalized algebraic data types...

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Trace formula

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formula, an extension of the Petersson trace formula. Local trace formula, an analog of Arthur–Selberg trace formula Petersson trace formula Selberg trace...

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Hecke operator

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of cusp forms of a given weight are self-adjoint with respect to the Petersson inner product. Therefore, the spectral theorem implies that there is a...

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Ramanujan graph

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theory, and algebraic geometry". These graphs are indirectly named after Srinivasa Ramanujan; their name comes from the Ramanujan–Petersson conjecture...

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Erich Hecke

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the theory of algebraic numbers, would be a futile and impossible task", referring to Hecke's book "Lectures on the Theory of Algebraic Numbers." His...

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List of unsolved problems in mathematics

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mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph...

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Timeline of mathematics

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purely by words, a "syncopated" stage in which quantities and common algebraic operations are beginning to be represented by symbolic abbreviations,...

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List of number theory topics

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subgroup Hecke operator Cusp form Eisenstein series Modular curve Ramanujan–Petersson conjecture Birch and Swinnerton-Dyer conjecture Automorphic form Selberg...

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Moduli space

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In mathematics, in particular algebraic geometry, a moduli space is a geometric space (usually a scheme or an algebraic stack) whose points represent...

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Weil conjectures

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in which many leading researchers developed the framework of modern algebraic geometry and number theory. The conjectures concern the generating functions...

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Pierre Deligne

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more than a decade. As a corollary he proved the celebrated Ramanujan–Petersson conjecture for modular forms of weight greater than one; weight one was...

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Type system

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ISBN 978-0-201-59065-4. OCLC 604732680. Nordström, B.; Petersson, K.; Smith, J.M. (2001). "Martin-Löf's Type Theory". Algebraic and Logical Structures. Handbook of Logic...

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Martin Eichler

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Kongruenz-Zetafunktion, Archiv Math. vol. 5, 1954, pp. 355–366 (Ramanujan–Petersson conjecture) Eine Verallgemeinerung der Abelschen Integrale, Math. Zeitschrift...

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Finite element method

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formulation of a boundary value problem finally results in a system of algebraic equations. The method approximates the unknown function over the domain...

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Schwarzian derivative

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ISBN 978-0-8284-0316-0 Takhtajan, Leon A.; Teo, Lee-Peng (2006), Weil-Petersson metric on the universal Teichmüller space, Mem. Amer. Math. Soc., vol...

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Outline of globalization

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Michigan Press. ISBN 978-0-472-07093-0. Osterhammel, Jürgen; Niels P. Petersson (2005). Globalization: A Short History. Princeton, New Jersey: Princeton...

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Mapping class group of a surface

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study of 3-manifolds via their embedded surfaces and is also studied in algebraic geometry in relation to moduli problems for curves. The mapping class...

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