An order-reversing duality map for conjugacy classes in Lusztig's canonical quotient
| dc.creator | Achar, Pramod | |
| dc.date | 2002-03-08 | |
| dc.date | 2002-10-16 | |
| dc.date.accessioned | 2026-07-07T04:46:55Z | |
| dc.date.available | 2026-07-07T04:46:55Z | |
| dc.description | We define a partial order on the set of pairs {(O,C)}, where O is a nilpotent orbit and C is a conjugacy class in Lusztig's canonical quotient of A(O). We then show that there is a unique order-reversing duality map on this set that has certain properties analagous to those of the original Lusztig-Spaltenstein duality map. This generalizes work of E. Sommers. In this revised version, a new approach leads to a strengthened version of Theorem 2, and applications of the results are discussed in greater detail. | |
| dc.description | 27 pages; corrected attributions of earlier work in the last section | |
| dc.identifier | https://arxiv.org/abs/math/0203082 | |
| dc.identifier | http://arxiv.org/abs/math/0203082 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63525 | |
| dc.subject | Representation Theory | |
| dc.title | An order-reversing duality map for conjugacy classes in Lusztig's canonical quotient | |
| dc.type | text |