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.
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''
'' 73, No. 7 (Jul. 1976), pp. 2178–2180
*(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 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
correction119 (1984) 639.
References
External links
*
Home pageof 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