Soit G un groupe de Lie connexe sur , et soit un sous-groupe discret cocompact. Nous démontrons que tout fibré vectoriel invariant sur est semi-stable par rapport à toute structure hermitienne sur provenant dʼune structure hermitienne sur G invariante par translations à droite.
Let G be a connected complex Lie group, and let Γ be a cocompact discrete subgroup of G. We prove that any invariant principal bundle on is semistable with respect to any Hermitian structure on given by some right-translation invariant Hermitian structure on G.
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@article{CRMATH_2012__350_5-6_277_0, author = {Biswas, Indranil}, title = {Semistability of invariant bundles over $ G/\Gamma $, {II}}, journal = {Comptes Rendus. Math\'ematique}, pages = {277--280}, publisher = {Elsevier}, volume = {350}, number = {5-6}, year = {2012}, doi = {10.1016/j.crma.2012.02.011}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2012.02.011/} }
TY - JOUR AU - Biswas, Indranil TI - Semistability of invariant bundles over $ G/\Gamma $, II JO - Comptes Rendus. Mathématique PY - 2012 SP - 277 EP - 280 VL - 350 IS - 5-6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2012.02.011/ DO - 10.1016/j.crma.2012.02.011 LA - en ID - CRMATH_2012__350_5-6_277_0 ER -
%0 Journal Article %A Biswas, Indranil %T Semistability of invariant bundles over $ G/\Gamma $, II %J Comptes Rendus. Mathématique %D 2012 %P 277-280 %V 350 %N 5-6 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2012.02.011/ %R 10.1016/j.crma.2012.02.011 %G en %F CRMATH_2012__350_5-6_277_0
Biswas, Indranil. Semistability of invariant bundles over $ G/\Gamma $, II. Comptes Rendus. Mathématique, Tome 350 (2012) no. 5-6, pp. 277-280. doi : 10.1016/j.crma.2012.02.011. http://www.numdam.org/articles/10.1016/j.crma.2012.02.011/
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