James Lepowsky

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

Lepowsky studied at Stuyvesant High School and then went from 1961 to 1965 from Harvard College. In 1970 he was on M.I.T. his doctorate with a thesis on Representations of Simple Lie Groups and Semi to Enveloping Algebra Decomposition Bertram Kostant.

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

Lepowskys main areas of work are Lie algebras and vertex operators. Together with Igor Frenkel and Arne Meurman he has constructed a vertex algebra operators, on the surgery the Monster group. Lepowsky has written several books on vertex operators.

He is a Fellow of the American Mathematical Society.

Writings

• Igor Frenkel, James Lepowsky, Arne Meurman: Vertex Operator Algebras and the Monster, Academic Press, New York ( 1988) ISBN 0-12-267065-5.