Semantic Scholar
Open Access
2010
68 sitasi
Drinfeld realization of the elliptic Hall algebra
O. Schiffmann
Abstrak
We give a new presentation of the Drinfeld double $\boldsymbol{\mathcal {E}}$ of the (spherical) elliptic Hall algebra $\boldsymbol{\mathcal{E}}^{+}$ introduced in our previous work (Burban and Schiffmann in Duke Math. J. preprint math.AG/0505148, 2005). This presentation is similar in spirit to Drinfeld’s ‘new realization’ of quantum affine algebras. This answers, in the case of elliptic curves, a question of Kapranov concerning functional relations satisfied by (principal, unramified) Eisenstein series for GL(n) over a function field. It also provides proofs of some recent conjectures of Feigin, Feigin, Jimbo, Miwa and Mukhin (arXiv:1002.3100, 2010).
Topik & Kata Kunci
Penulis (1)
O
O. Schiffmann
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2010
- Bahasa
- en
- Total Sitasi
- 68×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1007/S10801-011-0302-8
- Akses
- Open Access ✓