In this paper we define an action of the Weyl group on the quiver varieties with generic .
@article{ASNSP_2002_5_1_3_649_0,
author = {Maffei, Andrea},
title = {A remark on quiver varieties and {Weyl} groups},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {649--686},
year = {2002},
publisher = {Scuola normale superiore},
volume = {Ser. 5, 1},
number = {3},
mrnumber = {1990675},
zbl = {1143.14309},
language = {en},
url = {https://www.numdam.org/item/ASNSP_2002_5_1_3_649_0/}
}
TY - JOUR AU - Maffei, Andrea TI - A remark on quiver varieties and Weyl groups JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2002 SP - 649 EP - 686 VL - 1 IS - 3 PB - Scuola normale superiore UR - https://www.numdam.org/item/ASNSP_2002_5_1_3_649_0/ LA - en ID - ASNSP_2002_5_1_3_649_0 ER -
Maffei, Andrea. A remark on quiver varieties and Weyl groups. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 1 (2002) no. 3, pp. 649-686. https://www.numdam.org/item/ASNSP_2002_5_1_3_649_0/
[1] - , Semisimple representations of quivers, Trans. Amer. Math. Soc. 317 (1990), 585-598. | Zbl | MR
[2] , Geometry of the moment map for representations of quivers, preprint available at http://www.amsta.leeds.ac.uk/~pmtwc. | Zbl | MR
[3] - , Semi-invariants of quivers and saturation for Littlewood-Richardson coefficients, J. Amer. Math. Soc. 13 (2000), 467-479. | Zbl | MR
[4] - , The length of vectors in representation spaces, In: “Algebraic geometry”. Proc. Summer Meeting Univ. Copenhagen 1978, Vol. 732 of LNM, Springer, 1979, pp. 233-243. | Zbl | MR
[5] , On quiver varieties, Adv. Math. 136 (1998), 141-182. | Zbl | MR
[6] , Quiver varieties and Weyl group actions, Ann. Inst. Fourier (Grenoble) 50 (2000), 461-489. | Zbl | MR | Numdam
[7] , A remark on quiver varieties and Weyl groups, preprint available at http://xxx.lanl.gov.
[8] , “Quiver varieties”, PhD thesis, Università di Roma “La Sapienza", 1999.
[9] , Stability of homogeneous vector bundles, Boll. Un. Mat. Ital. 7-B (1996), 963-990. | Zbl | MR
[10] - - , “Geometric invariant theory”, Ergebn. der Math., Vol. 34, Springer, third edition, 1994. | Zbl | MR
[11] , Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras, Duke Math. J. 76 (1994), 365-416. | Zbl | MR
[12] , Quiver varieties and Kac-Moody algebras, Duke Math. J. 91 (1998), 515-560. | Zbl | MR
[13] , “Introduction to moduli problems and orbit spaces”, Tata Lectures, Vol. 51, Springer, 1978. | Zbl | MR





