Jia-Chen Ye

activity

20032012

collaborators

4 papers

math.RT2012

Irreducible Characters for Algebraic Groups in Characteristic Three

Zhongguo Zhou, Xiangqin Meng

In this note, we determine the irreducible characters for the simple algebraic groups of type $A_{5}$ over an algebraically closed field $K$ of characteristic 3, by using a theorem o…

math.RT2009

Some observations on Karoubian complete strongly exceptional posets on the projective homogeneous varieties

Masaharu Kaneda, Jiachen Ye

Let $\cP=G/P$ be a homogeneous projective variety with $G$ a reductive group and $P$ a parabolic subgroup. In positive characteristic we exhibit for $G$ of low rank a Karoubian com…

math.RT2003

A New Multiplicity Formula for the Weyl Modules of Type A

Jiachen Ye, Zhongguo Zhou

A monomial basis and a filtration of subalgebras for the universal enveloping algebra $U (g_{l})$ of a complex simple Lie algebra $g_{l}$ of type $A_{l}$ is given in this note. In particu…

math.QA2003

Canonical Basis for Type $A_{4}$ (II)-Polynomial Elements in One Variable

Yuwang Hu, Jiachen Ye

All the 62 monomial elements in the canonical basis B of the quantized enveloping algebra for type $A_{4}$ have been determined in [2]. According to Lusztig's idea [7], the elements…

Irreducible Characters for Algebraic Groups in Characteristic Three

Some observations on Karoubian complete strongly exceptional posets on the projective homogeneous varieties

A New Multiplicity Formula for the Weyl Modules of Type A

Canonical Basis for Type A4​ (II)-Polynomial Elements in One Variable

Canonical Basis for Type $A_{4}$ (II)-Polynomial Elements in One Variable