Matching Tag: kazhdan-lusztig-equivalence
Let G G G be the reductive group, let I I I be an Iwahori subgroup, and let \rep − κ I \rep_{-\kappa}^I \rep − κ I denote the corresponding category of Iwahori-equivariant modules at level − κ -\kappa − κ . Let…
Fix a positive level κ \kappa κ , set q = exp ( π − 1 κ ′ − κ crit ) q=\operatorname{exp}\left(\frac{\pi\sqrt{-1}}{\kappa'-\kappa_{\textup{crit}}}\right) q = exp ( κ ′ − κ crit π − 1 ) , and let M M M be a U q Lus ( g ) U^{\textup{Lus}}_q(\mathfrak{g}) U q Lus ( g ) -modul…
Let g ^ κ -mod G ( O ) \hat{\mathfrak{g}}_{\kappa}\textup{-mod}^{G(\mathcal{O})} g ^ κ -mod G ( O ) be the category of G ( O ) G(\mathcal{O}) G ( O ) -equivariant modules for the affine Kac–Moody algebra at level κ \kappa κ , and let…