Results 1 to 10 of about 145 (139)
Quantization of the Rank Two Heisenberg–Virasoro Algebra
AxiomsQuantum groups occupy a significant position in both mathematics and physics, contributing to progress in these fields. It is interesting to obtain new quantum groups by the quantization of Lie bialgebras.
Xue Chen
doaj +1 more source
On the relations among the Pengtagon equation, Hopf module and bialgebra(关于Pentagon方程与Hopf模及双代数的关系)
Zhejiang Daxue xuebao. Lixue ban, 2003 设H既是一个代数,同时又是一个余代数(不必是双代数),证明了当模HM和余模MH满足适当条件时,H为Hopf代数,并且HMH为Hopf模;在一般的情况下,若H是双代数,则可以构作H的商双代数,使M成为上的Hopf模.另外,从已知的双代数出发,可以构造新的Pentagon方程的解.
HEJi-wei(何济位)
doaj +1 more source
Atiyah classes of three-dimensional Lie bialgebras over Z_3
四川大学学报. 自然科学版, 2019 Based on the theory of Lie algebra cohomology and the definition of the Atiyah class of a Lie bialgebra, Atiyah classes of all three-dimensional Lie bialgebras over Z_3 are calculated.
SHEN Dan-Dan
doaj
Lie Bialgebra Structures and Quantization of Generalized Loop Planar Galilean Conformal Algebra
AxiomsIn this paper, we analyze the Lie bialgebra (LB) and quantize the generalized loop planar-Galilean conformal algebra (GLPGCA) W(Γ). Additionally, we prove that all LB structures on W(Γ) possess a triangular coboundary.
Yu Yang, Xingtao Wang
doaj +1 more source
Jacobi–Jordan Conformal Algebras: Basics, Constructions and Related Structures
MathematicsThe main purpose of this paper is to introduce and investigate the notion of Jacobi–Jordan conformal algebras. They are a generalization of Jacobi–Jordan algebras which correspond to the case in which the formal parameter λ equals 0.
Taoufik Chtioui +2 more
doaj +1 more source
25 Years of Quantum Groups: from Definition to Classification
Acta Polytechnica, 2008 In mathematics and theoretical physics, quantum groups are certain non-commutative, non-cocommutative Hopf algebras, which first appeared in the theory of quantum integrable models and later they were formalized by Drinfeld and Jimbo.
A. Stolin
doaj
Cumulants, free cumulants and half-shuffles. [PDF]
Proc Math Phys Eng Sci, 2015 Ebrahimi-Fard K, Patras F.
europepmc +1 more source
Charged string tensor networks. [PDF]
Proc Natl Acad Sci U S A, 2017 Biamonte J.
europepmc +1 more source
Symmetries and the u-condition in Hom-Yetter-Drinfeld categories. [PDF]
J Math Phys, 2014 Wang S, Guo S.
europepmc +1 more source