Matsumoto's theorem

Matsumoto's theorem: In mathematics, Matsumotos's theorem, named for Hideya Matsumoto, may refer to:

Matsumoto's theorem (group theory)

Matsumoto's theorem (K-theory)

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Matsumoto's theorem (group theory) — In algebra, Matsumoto s theorem, proved by Hideya Matsumoto (1964), gives conditions for two reduced words of a Coxeter group to represent the same element. Statement If two reduced words represent the same element of a Coxeter group, then… … Wikipedia
Algebraic K-theory — In mathematics, algebraic K theory is an important part of homological algebra concerned with defining and applying a sequence Kn(R) of functors from rings to abelian groups, for all integers n. For historical reasons, the lower K groups K0 and… … Wikipedia
Hecke algebra — is the common name of several related types of associative rings in algebra and representation theory. The most familiar of these is the Hecke algebra of a Coxeter group , also known as Iwahori Hecke algebra, which is a one parameter deformation… … Wikipedia
Morse theory — Morse function redirects here. In another context, a Morse function can also mean an anharmonic oscillator: see Morse potential In differential topology, the techniques of Morse theory give a very direct way of analyzing the topology of a… … Wikipedia
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Morse-Theorie — Die Morsetheorie aus dem Bereich der Differentialtopologie gibt einen sehr direkten Zugang zur Analyse der Topologie einer Mannigfaltigkeit über das Studium differenzierbarer Funktionen auf dieser Mannigfaltigkeit. Die wesentlichen Einsichten… … Deutsch Wikipedia
Morsetheorie — Die Morsetheorie aus dem Bereich der Differentialtopologie gibt einen sehr direkten Zugang zur Analyse der Topologie einer Mannigfaltigkeit über das Studium differenzierbarer Funktionen auf dieser Mannigfaltigkeit. Die wesentlichen Einsichten… … Deutsch Wikipedia

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Matsumoto's theorem

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