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Symplectic Graphs and Their Automorphisms
Zhongming Tang, Zhe-xian Wan
A new family of strongly regular graphs, called the general symplectic graphs , associated with nonsingular alternate matrices is introduced. Their parameters as strongl…
A Matrix Approach to the Rational Invariants of Certain Classical Groups over Finite Fields of Characteristic Two
Zhongming Tang, Zhe-xian Wan
Let be a finite field of characteristic two and a rational function field. We use matrix methods to obtain explicit transcendental base…
Representations of Centrally-Extended Lie Algebras over Differential Operators and Vertex Algebras
Xiaoping Xu
We construct irreducible modules of centrally-extended classical Lie algebras over left ideals of the algebra of differential operators on the circle, through certain irreducible m…
Hochschild (co)homology dimension
Yang Han
In 1989 Happel conjectured that for a finite-dimensional algebra over an algebraically closed field , $\gl A< \infty$ if and only if $\hch A < \infty$. Recently Buchweitz-Gr…
Subrepresentations of Kronecker representations
Yang Han
Translated into the language of representations of quivers, a challenge in matrix pencil theory is to find sufficient and necessary conditions for a Kronecker representation to be…
Structure of Algebras of Weyl Type
Yucai Su, Kaiming Zhao
In a paper by the authors, the associative and the Lie algebras of Weyl type were introduced, where is a commutative associative algebra with an identity e…