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2010

Drinfeld realization of the elliptic Hall algebra

Schiffmann, Olivier

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We give a new presentation of the Drinfeld double of the elliptic Hall algebra introduced in a previous work with I.

Burban.
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 the groups GL(n) over a function field.

Drinfeld realization of the elliptic Hall algebra · Around

Built on

V. Drinfeld,
1988
Earlier work this paper cites.
C. Ringel,
1990
Earlier work this paper cites.
M. Kapranov,
1997
Earlier work this paper cites.
B. Feigin, A. Odesskii,
1998
Earlier work this paper cites.

Similar

P. Baumann, C. Kassel,
2001
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I. Burban, O. Schiffmann,
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O. Schiffmann,
2006
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O. Schiffmann, E. Vasserot,
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2008
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O. Schiffmann, E. Vasserot,
Cited in the paper.

Then

B. Feigin, A. Tsymbaliuk,
Original
2009
Later among the works it cites.
O. Schiffmann, E. Vasserot,
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2009
Later among the works it cites.
B. Feigin, E. Feigin, M. Jimbo, T. Miwa, E. Mukhin,
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2010
Closest in time.
B. Feigin, E. Feigin, M. Jimbo, T. Miwa, E. Mukhin,
Original
2010
Closest in time.

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