Derivation algebra and automorphism group of generalized Ramond N = 2 superconformal algebra

Fu, Jiang; Gao, Yongcun

doi:10.1007/s11464-009-0041-5

Cited by 5 publications

(2 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…See also e.g. Jiang [23], Shen and Jiang [32] and Fu and Gao [13] for related work on other infinite-dimensional Lie algebras, as well as Yang and Yu and Yao [36], and Fa and Han and Yue [5]. Nonetheless, we will provide an explicit algebraic proof of H 1 (W, W) = {0} in the appendix in order to illustrate our techniques.…”

Section: First Cohomologymentioning

confidence: 99%

The low-dimensional algebraic cohomology of the Witt and the Virasoro algebra

Ecker

Schlichenmaier

2019

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

The main aim of this article is to prove the one-dimensionality of the third algebraic cohomology of the Virasoro algebra with values in the adjoint module. We announced this result in a previous publication with only a sketch of the proof. The detailed proof is provided in the present article. We also show that the third algebraic cohomology of the Witt and the Virasoro algebra with values in the trivial module is one-dimensional. We consider purely algebraic cohomology, i.e. our results are independent of any topology chosen. The vanishing of the third algebraic cohomology of the Witt algebra with values in the adjoint module has already been proven by Ecker and Schlichenmaier.

show abstract

Section: First Cohomologymentioning

confidence: 99%

The low-dimensional algebraic cohomology of the Witt and the Virasoro algebra

Ecker

Schlichenmaier

2019

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

show abstract

“…where s = 0 or 1 2 and λ ∈ C. It is known that derivations and automorphisms play important roles in the investigation of structures and representations of the relevant Lie algebras or superalgebras. Many references (i.e., [1], [3], [4], [5], [6], [7], [12], [13], [15]) have focused on derivations and automorphisms of different Lie algebras or superalgebras backgrounds. In this article, the corresponding derivation algebras and automorphism groups are respectively determined in Theorems 2.1 and 3.1.…”

Section: Introductionmentioning

confidence: 99%