{"product_id":"fourier-transforms-of-invariant-functions-emmanuel-letellier-9783540240204","title":"Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras","description":"\u003cp\u003eThe Fourier transforms of invariant functions on finite reductive Lie algebras are due to T.A. Springer (1976) in connection with the geometry of nilpotent orbits. In this book the author studies Fourier transforms using Deligne-Lusztig induction and the Lie algebra version of Lusztig's character sheaves theory. He conjectures a commutation formula between Deligne-Lusztig induction and Fourier transforms that he proves in many cases. As an application the computation of the values of the trigonometric sums (on reductive Lie algebras) is shown to reduce to the computation of the generalized Green functions and to the computation of some fourth roots of unity.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Emmanuel Letellier\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3540240209\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783540240204\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/02\/2004\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 165\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.60lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.10w x 0.40d","brand":"Emmanuel Letellier","offers":[{"title":"Paperback","offer_id":47424561643775,"sku":"9783540240204","price":49.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_aed5fc49-a6a0-4cda-8326-2f0d22c77383.jpg?v=1761531051","url":"https:\/\/www.whiterainbookhouse.com\/products\/fourier-transforms-of-invariant-functions-emmanuel-letellier-9783540240204","provider":"WR Book House","version":"1.0","type":"link"}