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math.QA2000★ 1 cited
Quantization of Lie bialgebras, part VI: quantization of generalized Kac-Moody algebras
Pavel Etingof, David Kazhdan
This paper is a continuation of the series of papers "Quantization of Lie bialgebras (QLB) I-V". We show that the image of a Kac-Moody Lie bialgebra with the standard quasitriangul…
math.AG2000
Fourier transform over finite field and identities between Gauss sums
David Kazhdan, Alexander Polishchuk
This is a sequel to math.AG/0003009. Here we study identities for the Fourier transform of "elementary functions" over finite field containing "exponents" of monomial rational func…
math.AG2000★ 5 cited
When is the Fourier transform of an elementary function elementary?
Pavel Etingof, David Kazhdan, Alexander Polishchuk
Let V be a finite dimensional vector space over a local field. Let us say that a complex function on V is elementary if it is a product of the additive character of a rational func…