James Ivan Lepowsky

James Ivan Lepowsky (born July 5, 1944 in New York City ) is an American mathematician .

Lepowsky first studied at Stuyvesant High School and then went to Harvard College from 1961 to 1965. In 1970 he received his doctorate at MIT with the dissertation Representations of Semisimple Lie Groups and an Enveloping Algebra Decomposition with Bertram Kostant .

From 1970 to 1972 Lepowsky was a lecturer at Brandeis University and then moved to Yale University in New Haven (Connecticut) as an assistant professor . After a stay at the University of Pierre and Marie Curie in Paris in 1978 , he returned to the USA, to Rutgers University in New Jersey . Here, together with Igor Frenkel and his student Arne Meurman, he began work on the moonlight module and the monster group .

Lepowsky's main areas of work are Lie algebras and vertex operators . Together with Igor Frenkel and Arne Meurman, he constructed a vertex operator algebra on which the monster group operates. Lepowsky has authored several books on vertex operators.

In 1976 he became a Sloan Research Fellow . He is a fellow of the American Mathematical Society .

Fonts

• Igor Frenkel , James Lepowsky, Arne Meurman : Vertex Operator Algebras and the Monster (= Pure and Applied Mathematics. 134). Academic Press, Boston MA et al. 1988, ISBN 0-12-267065-5 .

literature

• Yi-Zhi Huang, Kailash C. Misra (Eds.): Lie Algebras, Vertex Operator Algebras, and Their Applications. International Conference in Honor of James Lepowsky and Robert Wilson on Their Sixtieth Birthdays, May 17-21, 2005, North Carolina State University, Raleigh, North Carolina (= Contemporary Mathematics . 442). American Mathematical Society, Providence RI 2007, ISBN 978-0-8218-3986-7 (this book contains biographical data).

Individual evidence

1. ↑ James Ivan Lepowsky in the Mathematics Genealogy Project (English)