Anthony Knapp
Encyclopedia
Anthony W. Knapp is a mathematician at the US State University of New York, Stony Brook working on representation theory who classified the tempered representation
s of a semisimple Lie group
.
He won the Leroy P. Steele Prize for Mathematical Exposition in 1997.
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 Lp spacefor any ε > 0.-Formulation:...
s of a semisimple Lie group
Lie group
In mathematics, a Lie group is a group which is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure...
.
He won the Leroy P. Steele Prize for Mathematical Exposition in 1997.
Selected publications
- Basic algebra and Advanced algebra. – Boston: Birkhäuser, 2006, 2007 (Cornerstones) ISBN 0-8176-3248-4 (set) Zbl.1106.00001 Zbl.1133.00001
- Elliptic curves. – Princeton, 1992 (Mathematical notes; 40) ISBN 0-691-08559-5 Zbl.0804.14013
- Representation theory of semisimple groups : An overview based on examples, Princeton: University Press, 2001. (Princeton Landmarks in Mathematics) ISBN 0-691-09089-0.
- Lie Groups Beyond an Introduction, Second Edition, Progress in Mathematics, Vol. 140, Birkhäuser, Boston, 2002. ISBN 0-8176-4259-5.
- (with D. A. Vogan) Cohomological Induction and Unitary Representations, Princeton Mathematical Series 45, Princeton University Press, Princeton, New Jersey, 1995.
- (with Gregg ZuckermanGregg ZuckermanGregg Jay Zuckerman is a mathematician at Yale University who discovered Zuckerman functors and translation functors, and with Anthony Knapp classified the irreducible tempered representations ofsemisimple Lie groups.-Publications:...
) “Classification of irreducible tempered representations of semisimple Lie groups” Proc. Nat. Acad. Sci. 73, No. 7 (Jul. 1976), pp. 2178–2180 - (with Gregg ZuckermanGregg ZuckermanGregg Jay Zuckerman is a mathematician at Yale University who discovered Zuckerman functors and translation functors, and with Anthony Knapp classified the irreducible tempered representations ofsemisimple Lie groups.-Publications:...
) “Classification of irreducible tempered representations of semisimple groups” Ann. of Math. 116 (1982) 389–501, correction 119 (1984) 639.
External links
- home page for Anthony Knapp