Drinfeld double and Ringel-Green theory of Hall algebras. Zbl 0874.16026
Xiao, Jie |
|
1997
|
Root categories and simple Lie algebras. Zbl 0893.16007
Peng, Liangang; Xiao, Jie |
|
1997
|
Triangulated categories and Kac-Moody algebras. Zbl 0966.16006
Peng, Liangang; Xiao, Jie |
|
2000
|
Hall algebras associated to triangulated categories. Zbl 1168.18006
Xiao, Jie; Xu, Fan |
|
2008
|
Locally finite triangulated categories. Zbl 1110.16013
Xiao, Jie; Zhu, Bin |
|
2005
|
Finite dimensional representations of \(U_t(\text{sl}(2))\) at roots of unity. Zbl 0901.17009
Xiao, Jie |
|
1997
|
BGP-reflection functors and Lusztig’s symmetries: a Ringel-Hall algebra approach to quantum groups. Zbl 0999.17026
Xiao, Jie; Yang, Shilin |
|
2001
|
Relations for the Grothendieck groups of triangulated categories. Zbl 1021.18004
Xiao, Jie; Zhu, Bin |
|
2002
|
Generic extensions and canonical bases for cyclic quivers. Zbl 1203.17007
Deng, Bangming; Du, Jie; Xiao, Jie |
|
2007
|
On double Ringel-Hall algebras. Zbl 1010.16011
Deng, Bangming; Xiao, Jie |
|
2002
|
The Hall algebra approach to Drinfeld’s presentation of quantum loop algebras. Zbl 1262.14039
Dou, Rujing; Jiang, Yong; Xiao, Jie |
|
2012
|
Green’s formula with \(\mathbb{C}^*\)-action and Caldero-Keller’s formula for cluster algebras. Zbl 1235.16016
Xiao, Jie; Xu, Fan |
|
2010
|
Exceptional sequences in Hall algebras and quantum groups. Zbl 0993.16008
Chen, Xueqing; Xiao, Jie |
|
1999
|
On the number of \(DTr\)-orbits containing directing modules. Zbl 0787.16014
Peng, Liangang; Xiao, Jie |
|
1993
|
Integral bases of cluster algebras and representations of tame quivers. Zbl 1327.16006
Ding, Ming; Xiao, Jie; Xu, Fan |
|
2013
|
On Ringel-Hall algebras of tame hereditary algebras. Zbl 1060.17006
Hua, Jiuzhao; Xiao, Jie |
|
2002
|
A new approach to Kac’s theorem on representations of valued quivers. Zbl 1053.16010
Deng, Bangming; Xiao, Jie |
|
2003
|
Ringel-Hall algebras and Lusztig’s symmetries. Zbl 1017.16008
Deng, Bangming; Xiao, Jie |
|
2002
|
Representations of tame quivers and affine canonical bases. Zbl 1302.17024
Lin, Zongzhu; Xiao, Jie; Zhang, Guanglian |
|
2011
|
Invariability of trivial extensions of tilted algebras under stable equivalences. Zbl 0841.16019
Peng, Liangang; Xiao, Jie |
|
1995
|
Dynamics of scroll waves with time-delay propagation in excitable media. Zbl 1510.35141
Chen, Jiang-Xing; Xiao, Jie; Qiao, Li-Yan; Xu, Jiang-Rong |
|
2018
|
Realizing enveloping algebras via varieties of modules. Zbl 1188.17009
Ding, Ming; Xiao, Jie; Xu, Fan |
|
2010
|
Remarks on Hall algebras of triangulated categories. Zbl 1331.18017
Xiao, Jie; Xu, Fan |
|
2015
|
Weight modules and their extensions over a class of algebras similar to the enveloping algebra of \(\mathfrak{sl}(2,\mathbb{C})\). Zbl 0847.17005
Xiao, Jie; Van Oystaeyen, Freddy |
|
1995
|
Generic modules over the quantum group \(U_t(sl(2))\) at \(t\) a root of unit. Zbl 0813.17008
Xiao, Jie |
|
1994
|
BGP-reflection functors in root categories. Zbl 1111.17300
Xiao, Jie; Zhang, Guanglian; Zhu, Bin |
|
2005
|
On Ringel-Hall algebras. Zbl 1058.16013
Deng, Bangming; Xiao, Jie |
|
2004
|
BGP-reflection functors and Lusztig’s symmetries of modified quantized enveloping algebras. Zbl 1312.17012
Xiao, Jie; Zhao, Ming Hui |
|
2013
|
On nonparametric maximum likelihood estimation with double truncation. Zbl 1435.62403
Xiao, J.; Hudgens, M. G. |
|
2019
|
Geometric realizations of Lusztig’s symmetries. Zbl 1406.16011
Xiao, Jie; Zhao, Minghui |
|
2017
|
Invariability of repetitive algebras of tilted algebras under stable equivalence. Zbl 0824.16014
Peng, Liangang; Xiao, Jie |
|
1994
|
Restricted representations of \(U(\text{sl}(2))\)-quantizations. Zbl 0801.17008
Xiao, Jie |
|
1994
|
Applications of mutations in the derived categories of weighted projective lines to Lie and quantum algebras. Zbl 1482.14017
Deng, Bangming; Ruan, Shiquan; Xiao, Jie |
|
2020
|
Ringel-Hall algebras beyond their quantum groups. I: Restriction functor and Green formula. Zbl 1472.16014
Xiao, Jie; Xu, Fan; Zhao, Minghui |
|
2019
|
A realization of affine Lie algebras of type \(\widetilde A_{n-1}\) via the derived categories of cyclic quivers. Zbl 0870.16009
Peng, Liangang; Xiao, Jie |
|
1996
|
Complex Lie algebras corresponding to weighted projective lines. Zbl 1314.14062
Dou, Rujing; Sheng, Jie; Xiao, Jie |
|
2011
|
Root vectors arising from Auslander-Reiten quivers. Zbl 0945.16014
Chen, Xueqing; Xiao, Jie |
|
1999
|
The double Ringel-Hall algebras of valued quivers. Zbl 1130.16013
Wang, Yanxin; Xiao, Jie |
|
2006
|
Introduction to modern mathematics. Zbl 1326.00080
|
|
2015
|
Extension of certain modules over the first Weyl algebra. Zbl 0821.16033
Xiao, Jie; Van Oystaeyen, Freddy |
|
1994
|
The projective modules of path algebras and their localizations. Zbl 0789.16015
Xiao, Jie |
|
1991
|
Construction of representation-finite self-injective Artin algebras of class \(B_ n\) and \(C_ n\). Zbl 0797.16018
Yang, Rixin; Xiao, Jie |
|
1993
|
Tame quivers and affine bases. I: A Hall algebra approach to the canonical bases. Zbl 07725302
Xiao, Jie; Xu, Han; Zhao, Minghui |
|
2023
|
Coxeter transformations in quantum groups. Zbl 0998.17014
Xiao, Jie; Yang, Shilin |
|
2001
|
Some results on modules and rings. Zbl 0653.16011
Liu, Shaoxue |
|
1987
|
Indecomposable modules over representation-finite self-injective algebras of class \(D_ n\). I: Two-cornered algebras. Zbl 0698.16022
Xiao, Jie |
|
1989
|
A multiplication formula for module subcategories of Ext-symmetry. Zbl 1200.16020
Xiao, Jie; Xu, Fan |
|
2009
|
A trip from representations of the Kronecker quiver to canonical bases on quantum affine algebras. Zbl 1116.16017
Xiao, Jie; Zhang, Guanglian |
|
2006
|
Tame quivers and affine bases. I: A Hall algebra approach to the canonical bases. Zbl 07725302
Xiao, Jie; Xu, Han; Zhao, Minghui |
|
2023
|
Applications of mutations in the derived categories of weighted projective lines to Lie and quantum algebras. Zbl 1482.14017
Deng, Bangming; Ruan, Shiquan; Xiao, Jie |
|
2020
|
On nonparametric maximum likelihood estimation with double truncation. Zbl 1435.62403
Xiao, J.; Hudgens, M. G. |
|
2019
|
Ringel-Hall algebras beyond their quantum groups. I: Restriction functor and Green formula. Zbl 1472.16014
Xiao, Jie; Xu, Fan; Zhao, Minghui |
|
2019
|
Dynamics of scroll waves with time-delay propagation in excitable media. Zbl 1510.35141
Chen, Jiang-Xing; Xiao, Jie; Qiao, Li-Yan; Xu, Jiang-Rong |
|
2018
|
Geometric realizations of Lusztig’s symmetries. Zbl 1406.16011
Xiao, Jie; Zhao, Minghui |
|
2017
|
Remarks on Hall algebras of triangulated categories. Zbl 1331.18017
Xiao, Jie; Xu, Fan |
|
2015
|
Introduction to modern mathematics. Zbl 1326.00080
|
|
2015
|
Integral bases of cluster algebras and representations of tame quivers. Zbl 1327.16006
Ding, Ming; Xiao, Jie; Xu, Fan |
|
2013
|
BGP-reflection functors and Lusztig’s symmetries of modified quantized enveloping algebras. Zbl 1312.17012
Xiao, Jie; Zhao, Ming Hui |
|
2013
|
The Hall algebra approach to Drinfeld’s presentation of quantum loop algebras. Zbl 1262.14039
Dou, Rujing; Jiang, Yong; Xiao, Jie |
|
2012
|
Representations of tame quivers and affine canonical bases. Zbl 1302.17024
Lin, Zongzhu; Xiao, Jie; Zhang, Guanglian |
|
2011
|
Complex Lie algebras corresponding to weighted projective lines. Zbl 1314.14062
Dou, Rujing; Sheng, Jie; Xiao, Jie |
|
2011
|
Green’s formula with \(\mathbb{C}^*\)-action and Caldero-Keller’s formula for cluster algebras. Zbl 1235.16016
Xiao, Jie; Xu, Fan |
|
2010
|
Realizing enveloping algebras via varieties of modules. Zbl 1188.17009
Ding, Ming; Xiao, Jie; Xu, Fan |
|
2010
|
A multiplication formula for module subcategories of Ext-symmetry. Zbl 1200.16020
Xiao, Jie; Xu, Fan |
|
2009
|
Hall algebras associated to triangulated categories. Zbl 1168.18006
Xiao, Jie; Xu, Fan |
|
2008
|
Generic extensions and canonical bases for cyclic quivers. Zbl 1203.17007
Deng, Bangming; Du, Jie; Xiao, Jie |
|
2007
|
The double Ringel-Hall algebras of valued quivers. Zbl 1130.16013
Wang, Yanxin; Xiao, Jie |
|
2006
|
A trip from representations of the Kronecker quiver to canonical bases on quantum affine algebras. Zbl 1116.16017
Xiao, Jie; Zhang, Guanglian |
|
2006
|
Locally finite triangulated categories. Zbl 1110.16013
Xiao, Jie; Zhu, Bin |
|
2005
|
BGP-reflection functors in root categories. Zbl 1111.17300
Xiao, Jie; Zhang, Guanglian; Zhu, Bin |
|
2005
|
On Ringel-Hall algebras. Zbl 1058.16013
Deng, Bangming; Xiao, Jie |
|
2004
|
A new approach to Kac’s theorem on representations of valued quivers. Zbl 1053.16010
Deng, Bangming; Xiao, Jie |
|
2003
|
Relations for the Grothendieck groups of triangulated categories. Zbl 1021.18004
Xiao, Jie; Zhu, Bin |
|
2002
|
On double Ringel-Hall algebras. Zbl 1010.16011
Deng, Bangming; Xiao, Jie |
|
2002
|
On Ringel-Hall algebras of tame hereditary algebras. Zbl 1060.17006
Hua, Jiuzhao; Xiao, Jie |
|
2002
|
Ringel-Hall algebras and Lusztig’s symmetries. Zbl 1017.16008
Deng, Bangming; Xiao, Jie |
|
2002
|
BGP-reflection functors and Lusztig’s symmetries: a Ringel-Hall algebra approach to quantum groups. Zbl 0999.17026
Xiao, Jie; Yang, Shilin |
|
2001
|
Coxeter transformations in quantum groups. Zbl 0998.17014
Xiao, Jie; Yang, Shilin |
|
2001
|
Triangulated categories and Kac-Moody algebras. Zbl 0966.16006
Peng, Liangang; Xiao, Jie |
|
2000
|
Exceptional sequences in Hall algebras and quantum groups. Zbl 0993.16008
Chen, Xueqing; Xiao, Jie |
|
1999
|
Root vectors arising from Auslander-Reiten quivers. Zbl 0945.16014
Chen, Xueqing; Xiao, Jie |
|
1999
|
Drinfeld double and Ringel-Green theory of Hall algebras. Zbl 0874.16026
Xiao, Jie |
|
1997
|
Root categories and simple Lie algebras. Zbl 0893.16007
Peng, Liangang; Xiao, Jie |
|
1997
|
Finite dimensional representations of \(U_t(\text{sl}(2))\) at roots of unity. Zbl 0901.17009
Xiao, Jie |
|
1997
|
A realization of affine Lie algebras of type \(\widetilde A_{n-1}\) via the derived categories of cyclic quivers. Zbl 0870.16009
Peng, Liangang; Xiao, Jie |
|
1996
|
Invariability of trivial extensions of tilted algebras under stable equivalences. Zbl 0841.16019
Peng, Liangang; Xiao, Jie |
|
1995
|
Weight modules and their extensions over a class of algebras similar to the enveloping algebra of \(\mathfrak{sl}(2,\mathbb{C})\). Zbl 0847.17005
Xiao, Jie; Van Oystaeyen, Freddy |
|
1995
|
Generic modules over the quantum group \(U_t(sl(2))\) at \(t\) a root of unit. Zbl 0813.17008
Xiao, Jie |
|
1994
|
Invariability of repetitive algebras of tilted algebras under stable equivalence. Zbl 0824.16014
Peng, Liangang; Xiao, Jie |
|
1994
|
Restricted representations of \(U(\text{sl}(2))\)-quantizations. Zbl 0801.17008
Xiao, Jie |
|
1994
|
Extension of certain modules over the first Weyl algebra. Zbl 0821.16033
Xiao, Jie; Van Oystaeyen, Freddy |
|
1994
|
On the number of \(DTr\)-orbits containing directing modules. Zbl 0787.16014
Peng, Liangang; Xiao, Jie |
|
1993
|
Construction of representation-finite self-injective Artin algebras of class \(B_ n\) and \(C_ n\). Zbl 0797.16018
Yang, Rixin; Xiao, Jie |
|
1993
|
The projective modules of path algebras and their localizations. Zbl 0789.16015
Xiao, Jie |
|
1991
|
Indecomposable modules over representation-finite self-injective algebras of class \(D_ n\). I: Two-cornered algebras. Zbl 0698.16022
Xiao, Jie |
|
1989
|
Some results on modules and rings. Zbl 0653.16011
Liu, Shaoxue |
|
1987
|
