Anthony W. Knapp (born 2 December 1941, Morristown,

New Jersey New Jersey is a state in the Mid-Atlantic and Northeastern regions of the United States. It is bordered on the north and east by the state of New York; on the east, southeast, and south by the Atlantic Ocean; on the west by the Delaware ...

) is an American mathematician at the State University of New York, Stony Brook working on

representation theory Representation theory is a branch of mathematics that studies abstract algebraic structures by ''representing'' their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essen ...

, who classified the

tempered representation In mathematics, a tempered representation of a linear semisimple Lie group is a representation that has a basis whose matrix coefficients lie in the L''p'' space :''L''2+ε(''G'') for any ε > 0. Formulation This condition, as just g ...

s of a semisimple

Lie group In mathematics, a Lie group (pronounced ) is a group that is also a differentiable manifold. A manifold is a space that locally resembles Euclidean space, whereas groups define the abstract concept of a binary operation along with the additio ...

. He won the

Leroy P. Steele Prize The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics. Since 1993, there has been a formal division into three categories. The prizes have b ...

for Mathematical Exposition in 1997. In 2012 he became a fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

Selected publications

*
Book review
*
Book review

''Elliptic curves''.
nbsp;– Princeton, 1992 (Mathematical notes; 40)
Zbl.0804.14013
*''Representation theory of semisimple groups : An overview based on examples'', (Originally publ. 1986) Princeton: University Press, 2001. (Princeton Landmarks in Mathematics) . * Lie Groups: Beyond an Introduction, (Originally publ. 1996) Second Edition, Progress in Mathematics, Vol. 140, Birkhäuser, Boston, 2002. . *(with David A. Vogan) Cohomological Induction and Unitary Representations, Princeton Mathematical Series 45, Princeton University Press, Princeton, New Jersey, 1995. *(with

Gregg Zuckerman Gregg Jay Zuckerman (born 1949) is a mathematician at Yale University who discovered Zuckerman functors and translation functors, and with Anthony W. Knapp classified the irreducible tempered representations of semisimple Lie groups. He recei ...

)
Classification of irreducible tempered representations of semisimple Lie groups
''

Proceedings of the National Academy of Sciences of the United States of America ''Proceedings of the National Academy of Sciences of the United States of America'' (often abbreviated ''PNAS'' or ''PNAS USA'') is a peer-reviewed multidisciplinary scientific journal. It is the official journal of the National Academy of Scien ...

'' 73, No. 7 (Jul. 1976), pp. 2178–2180 *(with

"Classification of irreducible tempered representations of semisimple groups"
''

Annals of Mathematics The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as the ...

'' 116 (1982) 389–501
correction
119 (1984) 639.

References

External links

*
Home page
of Anthony Knapp, which also hosts access t

by the author under specific use- and copyrights. {{DEFAULTSORT:Knapp, Anthony Living people 20th-century American mathematicians 21st-century American mathematicians Princeton University alumni People from Morristown, New Jersey State University of New York faculty Fellows of the American Mathematical Society 1941 births Mathematicians from New Jersey