# Irving Reiner

**Irving Reiner** (February 8, 1924 in Brooklyn, New York – October 28, 1986) was a mathematician at the University of Illinois who worked on representation theory. He solved the problem of finding which abelian groups have a finite number of indecomposable modules. His book with Charles W. Curtis, (Curtis & Reiner 1962), was for many years the standard text on representation theory.

Reiner obtained his Ph.D. from Cornell University in 1947; his dissertation, *A generalization of Meyer's theorem*, was written under the supervision of Burton Wadsworth Jones.

## Publications

- Curtis, Charles W.; Reiner, Irving (1962),
*Representation theory of finite groups and associative algebras*, Pure and Applied Mathematics, Vol. XI, Interscience Publishers, a division of John Wiley & Sons, New York-London, ISBN 978-0-8218-4066-5, MR 0144979

- Curtis, Charles W.; Reiner, Irving (1990),
*Methods of Representation Theory: With Applications to Finite Groups and Orders*, Wiley Classics Library, John Wiley & Sons, New York-London, ISBN 0471523674

## References

- Janusz, Gerald J. (1988), "Irving Reiner 1924--1986",
*Illinois Journal of Mathematics*,**32**(3): 315–328, ISSN 0019-2082, MR 0947031

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