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Oscillator representation

Known as: Olshanskii semigroup, Holomorphic Fock space, Segal-Shale-Weil representation 
In mathematics, the oscillator representation is a projective unitary representation of the symplectic group, first investigated by Irving Segal… Expand
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Papers overview

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2015
2015
In this work, we consider fixed $1/2$ spin particles interacting with the quantized radiation field in the context of quantum… Expand
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2006
Highly Cited
2006
This is my senior honors thesis done in my final year as an undergraduate at Stanford University, under the direction of… Expand
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2005
2005
We develop a notion of a -product on a general abelian group, establish a Weyl calculus for operators on the group and connect… Expand
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1998
Highly Cited
1998
The collision rate of monodisperse solid particles in a turbulent gas is governed by a wide range of scales of motion in the flow… Expand
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1996
1996
We explicitly construct the quantization of classical linear maps of on toroidal phase space, of arbitrary modulus, using the… Expand
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1996
Highly Cited
1996
In our paper [KR] we began a systematic study of representations of the universal central extension of the Lie algebra of… Expand
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1994
Highly Cited
1994
Even before the advent of Artificial Intelligence, science fiction writer Isaac Asimov recognized that an agent must place the… Expand
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Highly Cited
1990
Highly Cited
1990
Using the theta correspondence we construct liftings from the cohomology with compact supports of locally symmetric spaces… Expand
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1984
Highly Cited
1984
The concept of linear Schrodinger representation of the real Heisenberg nilpotent group and its various realizations is used to… Expand
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Highly Cited
1978
Highly Cited
1978
AN INFINITE loop space machine is a functor which constructs spectra out of simpler space level data. There are many such… Expand
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