Dual graded graphs for Kac-Moody algebras
| dc.creator | Lam, Thomas | |
| dc.creator | Shimozono, Mark | |
| dc.date | 2007-02-05 | |
| dc.date | 2007-10-01 | |
| dc.date.accessioned | 2026-07-07T08:32:59Z | |
| dc.date.available | 2026-07-07T08:32:59Z | |
| dc.description | Motivated by affine Schubert calculus, we construct a family of dual graded graphs $(Γ_s,Γ_w)$ for an arbitrary Kac-Moody algebra $\g(A)$. The graded graphs have the Weyl group $W$ of $\g(A)$ as vertex set and are labeled versions of the strong and weak orders of $W$ respectively. Using a construction of Lusztig for quivers with an admissible automorphism, we define folded insertion for a Kac-Moody algebra and obtain Sagan-Worley shifted insertion from Robinson-Schensted insertion as a special case. Drawing on work of Stembridge, we analyze the induced subgraphs of $(Γ_s,Γ_w)$ which are distributive posets. | |
| dc.description | 36 pages | |
| dc.identifier | https://arxiv.org/abs/math/0702090 | |
| dc.identifier | http://arxiv.org/abs/math/0702090 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138974 | |
| dc.subject | Combinatorics | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 05E10; 57T15; 17B67 | |
| dc.title | Dual graded graphs for Kac-Moody algebras | |
| dc.type | text |