Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras
The study of Fourier transforms of invariant functions on finite reductive Lie algebras has been initiated by 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 Lu...
Gardado en:
| Autor Principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2005. |
| Series: | Lecture Notes in Mathematics
1859 |
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Fourier transforms of invariant functions on finite reductive Lie algebras, Emmanuel Letellier, 2005, Berlin, Springer, 1 vol. (XI-165 p.), Lecture notes in mathematics, 3-540-24020-9 • Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras, Texte imprimé, 9783540805786 • Fourier transforms of invariant functions on finite reductive Lie algebras, Emmanuel Letellier, 2005, Berlin, Springer, 1 vol. (XI-165 p.), Lecture notes in mathematics, 3-540-24020-9 |
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| 100 | 1 | |a Letellier, Emmanuel, |d 19..- | |
| 245 | 1 | 0 | |a Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras |c edited by Emmanuel Letellier. |
| 250 | |a 1st ed. 2005. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes in Mathematics |v 1859 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preface Introduction Connected Reductive Groups and their Lie Algebras Deligne-Lusztig Induction Local Systems and Perverse Shaeves Geometrical Induction Deligne-Lusztig Induction and Fourier Transforms Fourier Transforms of the Characteristic Functions of the Adjoint Orbits References Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The study of Fourier transforms of invariant functions on finite reductive Lie algebras has been initiated by 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 | ||
| 650 | |a Mathématiques | ||
| 650 | |a Lie, Algèbres de | ||
| 650 | |a Fourier, Transformations de | ||
| 650 | |a Groupes, Théorie des | ||
| 776 | 0 | |0 082998159 |t Fourier transforms of invariant functions on finite reductive Lie algebras |f Emmanuel Letellier |d 2005 |c Berlin |n Springer |p 1 vol. (XI-165 p.) |s Lecture notes in mathematics |z 3-540-24020-9 | |
| 776 | 0 | |t Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras |b Texte imprimé |z 9783540805786 | |
| 776 | 0 | |0 082998159 |t Fourier transforms of invariant functions on finite reductive Lie algebras |f Emmanuel Letellier |d 2005 |c Berlin |n Springer |p 1 vol. (XI-165 p.) |s Lecture notes in mathematics |z 3-540-24020-9 | |
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