Home > Papers

 
 
LIE ALGEBRAS IN SYMMETRIC LINEAR GR-CATEGORIES
Hua-Lin Huang 1 #,Yuping Yang 2 *
1.School of Mathematical Sciences, Huaqiao University, Quanzhou 362021
2.School of Mathematics and Statistics, Southwest University, Chongqing 400715
*Correspondence author
#Submitted by
Subject:
Funding: SRFDP（No.20130131110001）
Opened online:17 May 2017
Accepted by: none
Citation: Hua-Lin Huang,Yuping Yang.LIE ALGEBRAS IN SYMMETRIC LINEAR GR-CATEGORIES[OL]. [17 May 2017] http://en.paper.edu.cn/en_releasepaper/content/4732999
 
 
In this paper, we study Lie algebras in symmetric linear Gr-categories with focus on those with nontrivial associativity constraints. Such Lie algebras are natural counterparts of the well known Lie coloralgebras which live in linear Gr-categories with associativity isomorphisms being identity. We give the reduced form of the Lie algebras in symmetric linear GR-category and prove the PBW theorem which is a unified form of that for ordinary Lie algebras, Lie superalgebras and Lie coloralgebras.
Keywords:Lie algebra; symmetric category; braiding; cocycle; $Gr$-category
 
 
 

For this paper
  • ● PDF (0B)
  • ● Revision 0 　　
  • ● Print this paper
  • ● Recommend this paper to a friend
  • ● Add to my favorite list

    Saved Papers

    Please enter a name for this paper to be shown in your personalized Saved Papers list

Tags
Add yours

Related Papers

Statistics
PDF Downloaded 97
Bookmarked 0
Recommend 0
Comments Array
Submit your papers