Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Quiver Varieties and Branching
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
Quiver Varieties and Branching
Інший ID:
2000 Mathematics Subject Classification: 17B65; 14D21
Посилання:
Quiver Varieties and Branching / H. Nakajima // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 33 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications. This work is supported by the Grant-in-aid for Scientific Research (No.19340006), JSPS. This work was started while the author was visiting the Institute for Advanced Study with supports by the Ministry of Education, Japan and the Friends of the Institute. The author would like to thank to A. Braverman and M. Finkelberg for discussion on the subject, and to the referees for their careful readings and comments.
Дата:
2009
Переглядів:
525
Завантажень:
250
Анотація:
Braverman and Finkelberg recently proposed the geometric Satake correspondence for the affine Kac-Moody group Gaff [Braverman A., Finkelberg M., arXiv:0711.2083]. They conjecture that intersection cohomology sheaves on the Uhlenbeck compactification of the framed moduli space of Gcpt-instantons on R4/Zr correspond to weight spaces of representations of the Langlands dual group GaffÚ at level r. When G = SL(l), the Uhlenbeck compactification is the quiver variety of type sl(r)aff, and their conjecture follows from the author's earlier result and I. Frenkel's level-rank duality. They further introduce a convolution diagram which conjecturally gives the tensor product multiplicity [Braverman A., Finkelberg M., Private communication, 2008]. In this paper, we develop the theory for the branching in quiver varieties and check this conjecture for G = SL(l).
