Geodesic
The Weyl-Kac Weight Formula
Séminaire lotharingien de combinatoire, 78B (2017)

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We provide the first formulae for the weights of all simple highest weight modules over Kac-Moody algebras. For generic highest weights, we present a formula for the weights of simple modules similar to the Weyl-Kac character formula. For the remaining highest weights, the formula fails in a striking way, suggesting the existence of `multiplicity-free' Macdonald identities for affine root systems. 

@article{SLC_2017_78B_a76,
     author = {Gurbir Dhillon and Apoorva Khare},
     title = {The {Weyl-Kac} {Weight} {Formula}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {78B},
     year = {2017},
     url = {http://geodesic.mathdoc.fr/item/SLC_2017_78B_a76/}
}
TY  - JOUR
AU  - Gurbir Dhillon
AU  - Apoorva Khare
TI  - The Weyl-Kac Weight Formula
JO  - Séminaire lotharingien de combinatoire
PY  - 2017
VL  - 78B
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2017_78B_a76/
ID  - SLC_2017_78B_a76
ER  - 
%0 Journal Article
%A Gurbir Dhillon
%A Apoorva Khare
%T The Weyl-Kac Weight Formula
%J Séminaire lotharingien de combinatoire
%D 2017
%V 78B
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2017_78B_a76/
%F SLC_2017_78B_a76
Gurbir Dhillon; Apoorva Khare. The Weyl-Kac Weight Formula. Séminaire lotharingien de combinatoire, 78B (2017). http://geodesic.mathdoc.fr/item/SLC_2017_78B_a76/