Comptes Rendus
no. 9
Lie algebras
A substitution theorem for the Borcherds–Weyl semigroup

Presented by: Michèle Vergne

Anthony Joseph1; Polyxeni Lamprou1
1 Department of Mathematics, The Weizmann Institute of Science, Rehovot, 76100, Israel
Comptes Rendus. Mathématique, Volume 354 (2016) no. 9, pp. 887-890.

A result concerning Bruhat sequences for a Borcherds–Kac–Moody algebra is established. It is needed for the Littelmann path model. For a Kac–Moody Lie algebra, it is a consequence of the exchange lemma. In the present framework, the proof is more complex.

Un résultat pour les suites de Bruhat est établi dans le cadre d'une algèbre de Borcherds–Kac–Moody. Il est nécessaire au modèle des chemins de Littelmann. Pour une algèbre de Kac–Moody, c'est une conséquence du lemme de substitution. Dans le cadre actuel, la démonstration est plus complexe.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2016.06.004

Anthony Joseph 1; Polyxeni Lamprou 1

1 Department of Mathematics, The Weizmann Institute of Science, Rehovot, 76100, Israel 
@article{CRMATH_2016__354_9_887_0,
     author = {Anthony Joseph and Polyxeni Lamprou},
     title = {A substitution theorem for the {Borcherds{\textendash}Weyl} semigroup},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {887--890},
     publisher = {Elsevier},
     volume = {354},
     number = {9},
     year = {2016},
     doi = {10.1016/j.crma.2016.06.004},
     language = {en},
}
TY  - JOUR
AU  - Anthony Joseph
AU  - Polyxeni Lamprou
TI  - A substitution theorem for the Borcherds–Weyl semigroup
JO  - Comptes Rendus. Mathématique
PY  - 2016
SP  - 887
EP  - 890
VL  - 354
IS  - 9
PB  - Elsevier
DO  - 10.1016/j.crma.2016.06.004
LA  - en
ID  - CRMATH_2016__354_9_887_0
ER  - 
%0 Journal Article
%A Anthony Joseph
%A Polyxeni Lamprou
%T A substitution theorem for the Borcherds–Weyl semigroup
%J Comptes Rendus. Mathématique
%D 2016
%P 887-890
%V 354
%N 9
%I Elsevier
%R 10.1016/j.crma.2016.06.004
%G en
%F CRMATH_2016__354_9_887_0
Anthony Joseph; Polyxeni Lamprou. A substitution theorem for the Borcherds–Weyl semigroup. Comptes Rendus. Mathématique, Volume 354 (2016) no. 9, pp. 887-890. doi : 10.1016/j.crma.2016.06.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.06.004/

[1] R.E. Borcherds Generalized Kac–Moody algebras, J. Algebra, Volume 115 (1988) no. 2, pp. 501-512

[2] A. Joseph; P. Lamprou A Littelmann path model for crystals of generalized Kac–Moody algebras, Adv. Math., Volume 221 (2009) no. 6, pp. 2019-2058

[3] A. Joseph; P. Lamprou A Littelmann path model for crystals of generalized Kac–Moody algebras revisited | arXiv

Cited by Sources:

Comments - Policy