Associating quantum vertex algebras to deformed Heisenberg Lie algebras

2011 ◽  
Vol 6 (4) ◽  
pp. 707-730 ◽  
Author(s):  
Haisheng Li
Keyword(s):  
Lie Algebras ◽  
Vertex Algebras ◽  
Quantum Vertex

scholarly journals VERTEX ALGEBRAS ASSOCIATED WITH ELLIPTIC AFFINE LIE ALGEBRAS

2011 ◽  
Vol 13 (04) ◽  
pp. 579-605 ◽  
Author(s):  
JIANCAI SUN ◽  
HAISHENG LI
Keyword(s):  
Lie Algebras ◽  
Vertex Algebras ◽  
Affine Lie Algebras ◽  
Quantum Vertex ◽  
Special Case

We associate what we call vertex ℂ((z))-algebras and their modules in a certain category with elliptic affine Lie algebras. To a certain extent, this association is similar to that of vertex algebras and their modules with affine Lie algebras. While the notion of vertex ℂ((z))-algebra is a special case of that of quantum vertex ℂ((z))-algebra, which was introduced and studied by one of us (Li), here we use those results on quantum vertex ℂ(z))-algebras in an essential way. In the course of this work, we also construct and exploit two families of Lie algebras which are closely related to elliptic affine Lie algebras.

scholarly journals Associating quantum vertex algebras to Lie algebragl∞

2014 ◽  
Vol 399 ◽  
pp. 1086-1106 ◽  
Author(s):  
Cuipo Jiang ◽  
Haisheng Li
Keyword(s):  
Vertex Algebras ◽  
Quantum Vertex

scholarly journals Vertex algebras generated by Lie algebras

1999 ◽  
Vol 135 (3) ◽  
pp. 253-293 ◽  
Author(s):  
Mirko Primc
Keyword(s):  
Lie Algebras ◽  
Vertex Algebras

scholarly journals Modules-at-Infinity for Quantum Vertex Algebras

2008 ◽  
Vol 282 (3) ◽  
pp. 819-864 ◽  
Author(s):  
Haisheng Li
Keyword(s):  
Vertex Algebras ◽  
Quantum Vertex

scholarly journals A certain clifford-like algebra and quantum vertex algebras

2016 ◽  
Vol 216 (1) ◽  
pp. 441-470
Author(s):  
Haisheng Li ◽  
Shaobin Tan ◽  
Qing Wang
Keyword(s):  
Vertex Algebras ◽  
Quantum Vertex
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