arXiv subjects

Qifen Jiang

Publications and source records attributed to Qifen Jiang.

6 recordsLinked to original sources

arXiv2015

Bimodule and twisted representation of vertex operator algebras

In this paper, for a vertex operator algebra $V$ with an automorphism $g$ of order $T,$ an admissible $V$-module $M$ and a fixed nonnegative rational number $n\in\frac{1}{T}\Bbb{Z}_{+},$ we construct an $A_{g,n}(V)$-bimodule $Å_{g,n}(M)$ and study its some properties, discuss the connections between bimodule $Å_{g,n}(M)$ and intertwining operators. Especially, bimodule $Å_{g,n-\frac{1}{T}}(M)$ is a natural quotient of $Å_{g,n}(M)$ and there is a linear isomorphism between the space ${\cal I}_{M\,M^j}^{M^k}$ of intertwining operators and the space of homomorphisms $\rm{Hom}_{A_{g,n}(V)}(Å_{g,n}(M)\otimes_{A_{g,n}(V)}M^j(s), M^k(t))$ for $s,t\leq n, M^j, M^k$ are $g$-twisted $V$ modules, if $V$ is $g$-rational.

math.RT↗

arXiv2013

Fusion rules for the vertex operator algebra $V_{L_{2}}^{A_{4}}$

The fusion rules for vertex operator algebra $V_{L_{2}}^{A_{4}}$ are determined.

math.QA↗

arXiv2012

Derivations and automorphism groups of the original deformative Schrödinger-Virasoro algebras

In this paper, we determine the derivation algebra and the automorphism group of the original deformative ${\rm Schr\ddot{o}dinger}$-{\rm Virasoro} algebras which is the semi-direct product Lie algebra of the Witt algebra and its tensor density module ${\rm I^g}(a,b)$.

math.RA↗

arXiv2009

Second homology groups and universal coverings of Steinberg Leibniz algebras of small characteristic

It is known that the second Leibniz homology group $HL_2(stl_n(R))$ of the Steinberg Leibniz algebra $stl_n(R)$ is trivial for $n\geq 5$. In this paper, we determine $HL_2(stl_n(R))$ explicitly (which are shown to be not necessarily trivial) for $n=3, 4$ without any assumption on the base ring.

math.QA↗

arXiv2006

Classification of modules of the intermediate series over Ramond N=2 superconformal algebras

In this paper, we first discuss the structure of the Ramond N=2 superconformal algebras. Then we also classify the modules of the intermediate series over Ramond N=2 superconformal algebra.

math.QA↗

arXiv2006

Verma modules over a Block Lie algebra

Let B be the Lie algebra with basis {L_{i,j},C|i,j\in Z} and relations [L_{i,j},L_{k,l}]=((j+1)k-i(l+1))L_{i+k,j+l}+iδ_{i,-k}δ_{j+l,-2}C, [C,L_{i,j}]=0. It is proved that an irreducible highest weight B-module is quasifinite if and only if it is a proper quotient of a Verma module. For an additive subgroup G of the base field F, there corresponds to a Lie algebra B(G) of Block type. Given a totalorder \succ on G and a weight Λ, a Verma B(G)-module M(Λ,\succ) is defined. The irreducibility of M(Λ,\succ) is completely determined.

math.RT↗