2 citations · 4 across the 4 of their papers we have counts for
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Generalizations of the Block algebras
Xiaoping Xu
In this paper, we introduce two new families of infinite-dimensional simple Lie algebras and a new family of infinite-dimensional simple Lie superalgebras. These algebras can be vi…
New generalized simple Lie algebras of Cartan type over a field with charcteristic 0
Xiaoping Xu
We construct four new series of generalized simple Lie algebras of Cartan type, using the mixtures of grading operators and down-grading operators. Our results in this paper are fu…
Quadratic conformal superalgebras
Xiaoping Xu
In this paper, we shall classify ``quadratic'' conformal superalgebras by certain compatible pairs of a Lie superalgebra and a Novikov superalgebra.Four general constructions of su…
Variational calculus of supervariables and related algebraic structures
Xiaoping Xu
We establish a formal variational calculus of supervariables, which is a combination of the bosonic theory of Gel'fand-Dikii and the fermionic theory in our earlier work. Certain i…
Simple conformal superalgebras of finite growth
Xiaoping xu
In this paper, we construct six families of infinite simple conformal superalgebra of finite growth based on our earlier work on constructing vertex operator superalgebras from gra…
Equivalence of conformal superalgebras to Hamiltonian superoperators
Xiaoping Xu
In this paper, we present a formal variational calculus of super functions in one real variable and find the conditions for a "matrix differential operator" to be a Hamiltonian sup…