Ernest Borisovich Vinberg (; 26 July 1937 – 12 May 2020) was a Soviet and Russian mathematician, who worked on Lie groups and algebraic groups, discrete subgroups of

Lie group In mathematics, a Lie group (pronounced ) is a group (mathematics), group that is also a differentiable manifold, such that group multiplication and taking inverses are both differentiable. A manifold is a space that locally resembles Eucli ...

s, invariant theory, and

representation theory Representation theory is a branch of mathematics that studies abstract algebra, abstract algebraic structures by ''representing'' their element (set theory), elements as linear transformations of vector spaces, and studies Module (mathematics), ...

. He introduced

Vinberg's algorithm In mathematics, Vinberg's algorithm is an algorithm, introduced by Ernest Borisovich Vinberg, for finding a fundamental domain of a hyperbolic reflection group. used Vinberg's algorithm to describe the automorphism group of the 26-dimensional ev ...

and the Koecher–Vinberg theorem. He was a recipient of the 1997

Humboldt Prize The Humboldt Research Award (), also known informally as the Humboldt Prize, is an award given by the Alexander von Humboldt Foundation of Germany to internationally renowned scientists and scholars who work outside of Germany in recognition of ...

. He was on the executive committee of the

Moscow Mathematical Society The Moscow Mathematical Society (MMS) is a society of Moscow mathematicians aimed at the development of mathematics in Russia. It was created in 1864, and Victor Vassiliev is the current president. History The first meeting of the society w ...

. In 1983, he was an Invited Speaker with a talk on ''Discrete reflection groups in Lobachevsky spaces'' at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...

Warsaw Warsaw, officially the Capital City of Warsaw, is the capital and List of cities and towns in Poland, largest city of Poland. The metropolis stands on the Vistula, River Vistula in east-central Poland. Its population is officially estimated at ...

. In 2010, he was elected an International Honorary Member of the

American Academy of Arts and Sciences The American Academy of Arts and Sciences (The Academy) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and other ...

. Ernest Vinberg died from

pneumonia Pneumonia is an Inflammation, inflammatory condition of the lung primarily affecting the small air sacs known as Pulmonary alveolus, alveoli. Symptoms typically include some combination of Cough#Classification, productive or dry cough, ches ...

caused by

COVID-19 Coronavirus disease 2019 (COVID-19) is a contagious disease caused by the coronavirus SARS-CoV-2. In January 2020, the disease spread worldwide, resulting in the COVID-19 pandemic. The symptoms of COVID‑19 can vary but often include fever ...

on 12 May 2020.

Selected publications

* * * editor and co-author: (contains ''Construction of the exceptional simple Lie algebras'') * with A. L. Onishchik:
2012 pbk edition
* with V. V. Gorbatsevich, A. L. Onishchik: * * (ed.) (contains: Vinberg et alia
''Geometry of spaces of constant curvature''''Discrete groups of motions of spaces of constant curvature''

References

External links

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'' Moscow Mathematical Journal'' 1937 births 2020 deaths 20th-century Russian mathematicians 20th-century Russian non-fiction writers 21st-century Russian mathematicians 21st-century Russian non-fiction writers Deaths from the COVID-19 pandemic in Russia Fellows of the American Academy of Arts and Sciences Group theorists Moscow State University alumni Academic staff of Moscow State University Russian editors 20th-century Russian Jews Russian male writers Soviet Jews Soviet mathematicians Russian textbook writers {{Russia-mathematician-stub Mathematicians from Moscow Soviet textbook writers 21st-century Russian Jews Jewish Russian writers