Max Koecher (; 20 January 1924 in

Weimar Weimar is a city in the state of Thuringia, Germany. It is located in Central Germany between Erfurt in the west and Jena in the east, approximately southwest of Leipzig, north of Nuremberg and west of Dresden. Together with the neighbouri ...

– 7 February 1990, Lengerich) was a German mathematician.

Biography

Koecher studied mathematics and physics at the Georg-August-Universität in

Göttingen Göttingen (, , ; nds, Chöttingen) is a college town, university city in Lower Saxony, central Germany, the Capital (political), capital of Göttingen (district), the eponymous district. The River Leine runs through it. At the end of 2019, t ...

. In 1951, he received his doctorate under

Max Deuring Max Deuring (9 December 1907 – 20 December 1984) was a German mathematician. He is known for his work in arithmetic geometry, in particular on elliptic curves in characteristic p. He worked also in analytic number theory. Deuring graduated fr ...

with his work on Dirichlet series with functional equation where he introduced Koecher–Maass series. He qualified in 1954 at the Westfälische Wilhelms University in Münster. From 1962 to 1970, Koecher was department chair at the University of Munich. He retired in 1989. His main research area was the theory of Jordan algebras, where he introduced the

Kantor–Koecher–Tits construction In algebra, the Kantor–Koecher–Tits construction is a method of constructing a Lie algebra from a Jordan algebra In abstract algebra, a Jordan algebra is a nonassociative algebra over a field whose multiplication satisfies the following axioms ...

and the

Koecher–Vinberg theorem In operator algebra, the Koecher–Vinberg theorem is a reconstruction theorem for real Jordan algebras. It was proved independently by Max Koecher in 1957 and Ernest Vinberg in 1961. It provides a one-to-one correspondence between formally real ...

. He discovered the

Koecher boundedness principle In mathematics, Siegel modular forms are a major type of automorphic form. These generalize conventional ''elliptic'' modular forms which are closely related to elliptic curves. The complex manifolds constructed in the theory of Siegel modular form ...

in the theory of

Siegel modular form In mathematics, Siegel modular forms are a major type of automorphic form. These generalize conventional ''elliptic'' modular forms which are closely related to elliptic curves. The complex manifolds constructed in the theory of Siegel modular form ...

References

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External links

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Max Koecher
on Wikimedia Commons {{DEFAULTSORT:Koecher, Max 20th-century German mathematicians 1990 deaths 1924 births