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Weights and characters of highest weight modules
Souvik Pal, G. Krishna Teja
Let be any Borcherds-Kac-Moody -Lie algebra (BKM LA) for BKM-Cartan matrix , with Cartan subalgebra . Let denote a h…
Minkowski difference weight formulas
G. Krishna Teja
Fix any complex Kac-Moody Lie algebra , and Cartan subalgebra . We study arbitrary highest weight -modules (with a…
Weak faces and a formula for weights of highest weight modules, via parabolic partial sum property for roots
G. Krishna Teja
Let be a finite or an affine type Lie algebra over with root system . We show a parabolic generalization of the partial sum property for , which w…
A weight-formula for all highest weight modules, and a higher order parabolic category
Apoorva Khare, G. Krishna Teja
Let be a complex Kac-Moody algebra, with Cartan subalgebra . Also fix a weight . For an arbitrary highes…
Weak faces of highest weight modules and root systems
G. Krishna Teja
Chari and Greenstein [Adv. Math. 2009] introduced combinatorial subsets of the roots of a finite-dimensional simple Lie algebra which were important in studying Kiri…
Moving between weights of weight modules
G Krishna Teja
In Lie theory the partial sum property (PSP) says that for a root system in any Kac-Moody algebra, every positive root is an ordered sum of simple roots whose partial sums are all…