Geodesic
On Compositions Associated to Frobenius Parabolic and Seaweed Subalgebras of sln(k)
Michel Duflo1 ; Rupert W. T. Yu2
1UFR de Mathématiques, Université Paris Diderot, Bâtiment Sophie Germain, Case 7012, 75205 Paris Cedex 13, France
2Laboratoire de Mathématiques, U.F.R. Sciences Exactes et Naturelles, Université de Reims, Moulin de la Housse - BP 1039, 51687 Reims Cedex 2, France
Journal of Lie Theory, Tome 25 (2015) no. 4, pp. 1191-1213

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

By using a free monoid of operators on the set of compositions (respectively, pairs of compositions), we establish in this paper a bijective correspondence between Frobenius standard parabolic (respectively, seaweed) subalgebras and certain elements of this monoid. We prove via this correspondence a conjecture of one of the authors on the number of Frobenius standard parabolic (respectively, seaweed) subalgebras of sln(k) associated to compositions (respectively, pairs of compositions) with n-t parts (respectively, parts in total).
Classification : 17B08, 05A16
Mots-clés : Frobenius parabolic and seaweed Lie algebras

Michel Duflo  1   ; Rupert W. T. Yu  2

1 UFR de Mathématiques, Université Paris Diderot, Bâtiment Sophie Germain, Case 7012, 75205 Paris Cedex 13, France
2 Laboratoire de Mathématiques, U.F.R. Sciences Exactes et Naturelles, Université de Reims, Moulin de la Housse - BP 1039, 51687 Reims Cedex 2, France 
Michel Duflo; Rupert W. T. Yu. On Compositions Associated to Frobenius Parabolic and Seaweed Subalgebras of sln(k). Journal of Lie Theory, Tome 25 (2015) no. 4, pp. 1191-1213. http://geodesic.mathdoc.fr/item/JOLT_2015_25_4_a11/
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     author = {Michel Duflo and Rupert W. T. Yu},
     title = {On {Compositions} {Associated} to {Frobenius} {Parabolic} and {Seaweed} {Subalgebras} of sl\protect\textsubscript{n}(k)},
     journal = {Journal of Lie Theory},
     pages = {1191--1213},
     year = {2015},
     volume = {25},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2015_25_4_a11/}
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