Lagrangian construction of the $(gl_n, gl_m)$-duality
| dc.creator | Wang, Weiqiang | |
| dc.date | 1999-07-23 | |
| dc.date | 2000-09-26 | |
| dc.date.accessioned | 2026-07-07T05:30:02Z | |
| dc.date.available | 2026-07-07T05:30:02Z | |
| dc.description | We give a geometric realization of the symmetric algebra of the tensor space $C^n \bigotimes C^m$ together with the action of the dual pair $(gl_n, gl_m)$ in terms of lagrangian cycles in the cotangent bundles of certain varieties. We establish geometrically the equivalence between the $(gl_n, gl_m)$ duality and Schur duality. We establish the connection between Springer's construction of (representations of) Weyl groups and Ginzburg's construction of (representations of) Lie algebras of type $A$. | |
| dc.description | 14 pages,latex, minor changes, to appear in Communications in Contemporary Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/9907154 | |
| dc.identifier | http://arxiv.org/abs/math/9907154 | |
| dc.identifier | Commun. Contemp. Math. 3 (2001) 201--214 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78869 | |
| dc.subject | Representation Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Lagrangian construction of the $(gl_n, gl_m)$-duality | |
| dc.type | text |