1 citations · 2 across the 7 of their papers we have counts for
8 papers
Some progress in the Dixmier Conjecture
Gang Han, Bowen Tan
Let and , where , be the standard generators of the first Weyl algebra over a field of characteristic zero. Then the spectrum of the inner derivation …
Real fundamental Chevalley involutions and conjugacy classes
Gang Han, Binyong Sun
Let be a connected reductive linear algebraic group defined over , and let be a fundamental Chevalley involution. We show…
Quaternionic slice regular functions and quaternionic Laplace transforms
Gang Han
The functions studied in the paper are quaternion-valued functions of a quaternionic variable. It is show that the left slice regular functions and right slice regular functions ar…
A proof of the Jacobian conjecture
Gang Han
Based on the results people have obtained, we try to prove the Jacobian conjecture, but there is a gap in the proof.
Multiplicity free gradings on semisimple Lie and Jordan algebras and skew root
Gang Han, Kang Lu, Yucheng Liu
A -grading on an algebra is called multiplicity free if each homogeneous component of the grading is 1-dimensional, where is an abelian group. We introduce skew root systems…
Fine gradings of complex simple Lie algebras and Finite Root Systems
Gang Han, Kang Lu, Jun Yu
A -grading on a complex semisimple Lie algebra , where is a finite abelian group, is called quasi-good if each homogeneous component is 1-dimensional and 0 is not in the…
The Weyl group of the fine grading of associated with tensor product of generalized Pauli matrices
Gang Han
We consider the fine grading of $sl(n,\mb C)$ induced by tensor product of generalized Pauli matrices in the paper. Based on the classification of maximal diagonalizable subgroups…
Maximal eigenvalues of a Casimir operator and multiplicity-free modules
Gang Han
Let $\g$ be a finite-dimensional complex semisimple Lie algebra and $\b$ a Borel subalgebra. Then $\g$ acts on its exterior algebra $\w\g$ naturally. We prove that the maximal eige…