Jie Sun

activity

20072013

most citedUniversal central extensions of

s l_{m ∣ n}

over

Z /2 Z

-graded algebras

14 citations · 17 across the 5 of their papers we have counts for

collaborators

Showing math.RAShow all

3 papers · 1 filter

math.RA2013★ 14 cited

Universal central extensions of $s l_{m ∣ n}$ over $Z /2 Z$ -graded algebras

Hongjia Chen, Jie Sun

We study central extensions of the Lie superalgebra $s l_{m ∣ n} (A)$ , where $A$ is a $Z /2 Z$ -graded superalgebra over a commutative ring $K$ . The Steinberg Lie superalgebra $st_{m|n}(A…

math.RA2011

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…

math.RA2010

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 slm∣n​ over Z/2Z-graded algebras

Universal central extensions of direct limits of Lie superalgebras

Cyclotomic Temperley-Lieb algebra of type D and its representation theory

Universal central extensions of $s l_{m ∣ n}$ over $Z /2 Z$ -graded algebras