Complex structure on the smooth dual of GL(n)
Let G denote the p-adic group GL(n), let ¦(G) denote the smooth dual of G, let ¦() denote a Bernstein component of ¦(G) and let H() denote a Bernstein ideal in the Hecke algebra H(G). With the aid of Langlands parameters, we equip ¦() with the structure of complex algebraic variety, and prove tha...
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| Format: | Article |
| Language: | English |
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2002.
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| Online Access: | Get fulltext |
| LEADER | 00937 am a22001333u 4500 | ||
|---|---|---|---|
| 001 | 29849 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Brodzki, Jacek |e author |
| 700 | 1 | 0 | |a Plymen, Roger |e author |
| 245 | 0 | 0 | |a Complex structure on the smooth dual of GL(n) |
| 260 | |c 2002. | ||
| 856 | |z Get fulltext |u https://eprints.soton.ac.uk/29849/1/04.pdf | ||
| 520 | |a Let G denote the p-adic group GL(n), let ¦(G) denote the smooth dual of G, let ¦() denote a Bernstein component of ¦(G) and let H() denote a Bernstein ideal in the Hecke algebra H(G). With the aid of Langlands parameters, we equip ¦() with the structure of complex algebraic variety, and prove that the periodic cyclic homology of H() is isomorphic to the de Rham cohomology of ¦(). We show how the structure of the variety ¦() is related to Xi's a±rmation of a conjecture of Lusztig for GL(n;C). The smooth dual ¦(G) admits a deformation retraction onto the tempered dual ¦t(G) | ||
| 655 | 7 | |a Article | |