Geodesic
A Note on the Fusion Product Decomposition of Demazure Modules
Rajendran Venkatesh1 ; Sankaran Viswanath2
1Dept. of Mathematics, Indian Institute of Science, Bangalore, India
2Institute of Mathematical Sciences, Homi Bhabha National Institute, Chennai, India
Journal of Lie Theory, Tome 32 (2022) no. 1, pp. 261-266

Voir la notice de l'article provenant de la source Heldermann Verlag

We settle the fusion product decomposition theorem for higher level affine Demazure modules for the cases $E^{(1)}_{6, 7, 8}, F^{(1)}_4$ and $E^{(2)}_{6},$ thus completing the main theorems of V.\,Chari et al. [J. Algebra 455 (2016) 314--346] and D.\,Kus et al. [Representation Theory 20 (2016) 94--127]. We obtain a new combinatorial proof for the key fact, that was used in Chari et al. (op. cit.), to prove this decomposition theorem. We give a case free uniform proof for this key fact.
Classification : 17B10, 17B22, 17B65
Mots-clés : Current algebras, Demazure modules, Steinberg decomposition, affine Weyl groups

Rajendran Venkatesh  1   ; Sankaran Viswanath  2

1 Dept. of Mathematics, Indian Institute of Science, Bangalore, India
2 Institute of Mathematical Sciences, Homi Bhabha National Institute, Chennai, India 
Rajendran Venkatesh; Sankaran Viswanath. A Note on the Fusion Product Decomposition of Demazure Modules. Journal of Lie Theory, Tome 32 (2022) no. 1, pp. 261-266. http://geodesic.mathdoc.fr/item/JOLT_2022_32_1_a12/
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