000 02488cam a2200385 i 4500
001 on1437984347
003 OCoLC
005 20240806144657.0
008 240611t20242024riu b 000 0 eng d
020 _a1470469561
_q(pbk.)
020 _a9781470469566
_q(pbk.)
035 _a(OCoLC)1437984347
040 _aYDX
_beng
_erda
_cYDX
_dYSM
_dEAU
_dOCLCO
_dUNBCA
_dVGM
_dPAU
066 _c(S
082 _bO39s
100 1 _aOi, Masao,
_eauthor.
245 1 0 _aSimple supercuspidal L-packets of quasi-split classical groups /
_cMasao Oi.
264 1 _aProvidence, RI :
_bAmerican Mathematical Society,
_c2024.
264 4 _c©2024
300 _av, 161 pages ;
_c26 cm.
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
490 1 _aMemoirs of the American Mathematical Society,
_x0065-9266 ;
_vv. 1483
504 _aIncludes bibliographical references (pages 159-161).
520 3 _aIn this memoir, for quasi-split classical groups over p-adic fields, we determine the L-packets consisting of simple supercuspidal representations and their corresponding L-parameters, under the assumption that p is not equal to 2. The key is an explicit computation of characters of simple supercuspidal representations and the endoscopic character relation, which is a characterization of the local Langlands correspondence for quasi-split classical groups.
650 0 _aNumber theory.
650 6 _aThéorie des nombres.
830 0 _aMemoirs of the American Mathematical Society ;
_vv. 1483.
880 0 0 _6505-00/(S
_gChapter 1. Introduction --
_tChapter 2. Simple supercuspidal representations of classical groups --
_tChapter 3. Characters of simple supercuspidal representations --
_tChapter 4. Arthur's local classification theorem --
_tChapter 5. Simple supercuspidal L-packet of Sp₂n --
_tChapter 6. Transfer factors at affine generic elements --
_tChapter 7. Endoscopic lifting of simple supercuspidal L-packets of SO₂nμ --
_tChapter 8. Simple supercuspidal L-packet of SO2n+2 and SOur2n+2 --
_tChapter 9. Application: Formal degree conjecture for simple supercuspidal L-packets for some bad primes --
_tAppendix A. Kloosterman sums and Gauss sums --
_tAppendix B. Depth of simple supercuspidal representations --
_tAppendix C. Spinor twists for L-packets of even orthogonal groups.
942 _2ddc
_cBK
_n0
948 _hNO HOLDINGS IN P5A - 11 OTHER HOLDINGS
999 _c41432
_d41432