Huajun  Huang's   Homepage


     Assistant Professor
     Mathematics and Statistics
     Auburn University, AL 36849
     (334) 844-5974
     huanghu (AT) auburn.edu
Areas of Interests:

Matrix theory, algebraic groups and Lie groups, representation theory.


Education

2004      Ph.D      Yale University, advisor: Roger Howe.
1998      B.A.      University of Science and Technology of China.

Research

Here is a list of topics I am interested in. For more details, please check my publication list or my curriculum vitae.
  1. Decompositions in matrices, algebraic groups and reductive Lie groups.
    Many classical decompositions co-exist in a reductive Lie group, such as Jordan decomposition, Cartan decomposition, Polar decomposition, Bruhat decomposition, Iwasawa decomposition, Levi decomposition, etc. They disclose the structures of reductive Lie group from different directions. The connections within these decompositions reveal how different structures are embedded together. The prototypes in matrices provide intuitions and examples for general situations.


  2. Group orbits and invariants.
    Given a representation of an algebraic or reductive group G on V, a parabolic subgroup P imposes certain partial order (or grading) on V. One can describe the parabolic subgroup orbits and invariants on V by studying the structure of G in accordance with the partial order. They are relative to the Bruhat decomposition, Iwasawa decomposition, quadratic forms, and some topics in representation theory.


  3. Some other topics in Lie theory and matrix theory.


Teaching

I am currently teaching Calculus with Business Applications II.

Math Links

Here are some interesting links in mathematics.