14 citations · 17 across the 5 of their papers we have counts for
5 papers
Universal central extensions of over -graded algebras
Hongjia Chen, Jie Sun
We study central extensions of the Lie superalgebra , where is a -graded superalgebra over a commutative ring . The Steinberg Lie superalgebra $st_{m|n}(A…
Universal central extensions of direct limits of Lie superalgebras
Erhard Neher, Jie Sun
We show that the universal central extension of a direct limit of perfect Lie superalgebras L_i is (isomorphic to) the direct limit of the universal central extensions of L_i. As a…
Cyclotomic Temperley-Lieb algebra of type D and its representation theory
Jie Sun
We define a new class of algebras, cyclotomic Temperley-Lieb algebras of type D, in a diagrammatic way, which is a generalization of Temperley-Lieb algebras of type D. We prove tha…
Universal central extensions of twisted forms of split simple Lie algebras over rings
Jie Sun
We give sufficient conditions for the descent construction to be the universal central extension of a twisted form of a split simple Lie algebra over a ring. In particular, the uni…
Descent constructions for central extensions of infinite dimensional Lie algebras
Arturo Pianzola, Daniel Prelat, Jie Sun
We use Galois descent to construct central extensions of twisted forms of split simple Lie algebras over rings. These types of algebras arise naturally in the construction of Exten…