Universal rings arising in geometry and group theory
| dc.creator | Wang, Weiqiang | |
| dc.date | 2002-11-05 | |
| dc.date.accessioned | 2026-07-07T04:52:41Z | |
| dc.date.available | 2026-07-07T04:52:41Z | |
| dc.description | Various algebraic structures in geometry and group theory have appeared to be governed by certain universal rings. Examples include: the cohomology rings of Hilbert schemes of points on projective surfaces and quasi-projective surfaces; the Chen-Ruan orbifold cohomology rings of the symmetric products; the class algebras of wreath products, as well as their associated graded algebras with respect to a suitable filtration. We review these examples, and further provide a new elementary construction and explanation in the case of symmetric products. We in addition show that the Jucys-Murphy elements can be used to clarify the Macdonald's isomorphism between the FH-ring for the symmetric groups and the ring of symmetric functions. | |
| dc.description | Latex, 16 pages, contribution to the proceedings for Conference On Hilbert Schemes, Vector Bundles And Their Interplay With Representation Theory, Columbia, Missouri. Contemp. Math. (to apear) | |
| dc.identifier | https://arxiv.org/abs/math/0211093 | |
| dc.identifier | http://arxiv.org/abs/math/0211093 | |
| dc.identifier | Contemp. Math. 322 (2003), 125--140. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65558 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.title | Universal rings arising in geometry and group theory | |
| dc.type | text |