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math-ph2007
Notes on the Self-Reducibility of the Weil Representation and Higher-Dimensional Quantum Chaos
Shamgar Gurevich, Ronny Hadani
In these notes we discuss the "self-reducibility property" of the Weil representation. We explain how to use this property to obtain sharp estimates of certain higher-dimensional e…
math-ph2007★ 1 cited
Notes on quantization of symplectic vector spaces over finite fields
Shamgar Gurevich, Ronny Hadani
In these notes we construct a quantization functor, associating an Hilbert space H(V) to a finite dimensional symplectic vector space V over a finite field F_q. As a result, we obt…
math.RT2007★ 6 cited
Quantization of symplectic vector spaces over finite fields
Shamgar Gurevich, Ronny Hadani
In this paper, we construct a quantization functor, associating a complex vector space H(V) to a finite dimensional symplectic vector space V over a finite field of odd characteris…