Geodesic
Generalizations of the Cartan and Iwasawa Decompositions for SL2(k)
Amanda K. Sutherland1
1Dept. of Mathematical Sciences, Shenandoah University, 1460 University Drive, Winchester, VA 22601, U.S.A.
Journal of Lie Theory, Tome 27 (2017) no. 1, pp. 155-176

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

The Cartan and Iwasawa decompositions of real reductive Lie groups play a fundamental role in the representation theory of the groups and their corresponding symmetric spaces. These decompositions are defined by an involution with a compact fixed-point group, called a Cartan involution. For an arbitrary involution, one can consider similar decompositions. We offer a generalization of the Cartan and Iwasawa decompositions for algebraic groups defined over an arbitrary field k and a general involution.
Classification : 20G15
Mots-clés : Linear algebraic groups, Cartan decomposition, Iwasawa decomposition, generalized symmetric spaces

Amanda K. Sutherland  1

1 Dept. of Mathematical Sciences, Shenandoah University, 1460 University Drive, Winchester, VA 22601, U.S.A. 
Amanda K. Sutherland. Generalizations of the Cartan and Iwasawa Decompositions for SL2(k). Journal of Lie Theory, Tome 27 (2017) no. 1, pp. 155-176. http://geodesic.mathdoc.fr/item/JOLT_2017_27_1_a7/
@article{JOLT_2017_27_1_a7,
     author = {Amanda K. Sutherland},
     title = {Generalizations of the {Cartan} and {Iwasawa} {Decompositions} for {SL\protect\textsubscript{2}(k)}},
     journal = {Journal of Lie Theory},
     pages = {155--176},
     year = {2017},
     volume = {27},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2017_27_1_a7/}
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