LECTURES ON HALL ALGEBRAS

Olivier Shiffmann
arXiv: Representation Theory 130

184
2008
TWO DESCRIPTIONS OF THE QUANTUM AFFINE ALGEBRA Uv() VIA HALL ALGEBRA APPROACH

IGOR BURBAN , OLIVIER SCHIFFMANN
Glasgow Mathematical Journal 54 ( 02) 283 -307

6
2012
3
2008
Algebres de Higgs de courbes et cristaux de lacets

Olivier SCHIFFMANN
université Paris VI

2010
On the Hall algebra of an elliptic curve, II

Olivier Schiffmann
Duke Mathematical Journal 161 ( 7) 1171 -1231

99
2012
Kac polynomials and Lie algebras associated to quivers and curves

Olivier Schiffmann
arXiv: Representation Theory

4
2018
Noncommutative projective curves and quantum loop algebras

Olivier Schiffmann
Duke Mathematical Journal 121 ( 1) 113 -168

68
2004
Explicit quantization of dynamical r-matrices for finite dimensional semisimple Lie algebras

Pavel Etingof , Travis Schedler , Olivier Schiffmann
Journal of the American Mathematical Society 13 ( 3) 595 -609

56
2000
Counting Higgs bundles and type quiver bundles

Sergey Mozgovoy , Olivier Schiffmann
Compositio Mathematica 156 ( 4) 744 -769

6
2020
Indecomposable vector bundles and stable Higgs bundles over smooth projective curves

Olivier Schiffmann
Annals of Mathematics 183 ( 1) 297 -362

60
2016
Kac Polynomials for Canonical Algebras

Pierre-Guy Plamondon , Olivier Schiffmann
International Mathematics Research Notices 2019 ( 13) 3981 -4003

2019
The Hall algebra of a curve

Mikhail Kapranov , Olivier Schiffmann , Eric Vasserot
Selecta Mathematica 23 ( 1) 117 -177

6
2017
The circle quantum group and the infinite root stack of a curve

Francesco Sala , Olivier Schiffmann
Selecta Mathematica-new Series 25 ( 5) 1 -86

1
2019
On cohomological Hall algebras of quivers: Generators

Olivier Schiffmann , Eric Vasserot
Crelle's Journal 2020 ( 760) 59 -132

16
2020
The composition Hall algebra of a weighted projective line

Igor Burban , Olivier Schiffmann
Crelle's Journal 2013 ( 679) 75 -124

15
2013
Drinfeld realization of the elliptic Hall algebra

Olivier Schiffmann
Journal of Algebraic Combinatorics 35 ( 2) 237 -262

38
2012
Geometric construction of crystal bases for quantum generalized Kac–Moody algebras

Seok-Jin Kang , Masaki Kashiwara , Olivier Schiffmann
Advances in Mathematics 222 ( 3) 996 -1015

16
2009