| 000 | 02633nam a22004455i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-31561-2 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151710.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100806s2005 gw | s |||| 0|eng d | ||
| 020 |
_a9783540315612 _9978-3-540-31561-2 |
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| 024 | 7 |
_a10.1007/b104209 _2doi |
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| 050 | 4 | _aQA174-183 | |
| 072 | 7 |
_aPBG _2bicssc |
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| 072 | 7 |
_aMAT002010 _2bisacsh |
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| 072 | 7 |
_aPBG _2thema |
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| 082 | 0 | 4 |
_a512.2 _223 |
| 100 | 1 |
_aLetellier, Emmanuel. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aFourier Transforms of Invariant Functions on Finite Reductive Lie Algebras _h[electronic resource] / _cby Emmanuel Letellier. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2005. |
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| 300 |
_aXI, 165 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1859 |
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| 505 | 0 | _aPreface -- 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. | |
| 520 | _aThe 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 | 0 | _aGroup theory. | |
| 650 | 1 | 4 |
_aGroup Theory and Generalizations. _0http://scigraph.springernature.com/things/product-market-codes/M11078 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540805786 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540240204 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1859 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/b104209 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 999 |
_c11582 _d11582 |
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