Leibniz Conformal Algebras of Rank Two

Wu, Zhi Xiang

doi:10.1007/s10114-020-9057-2

Cited by 3 publications

(1 citation statement)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As ordinary Lie algebras, the second cohomolology group of a Lie conformal algebra calculates all abelian extensions of this Lie conformal algebra by its modules (coefficients of the cohomology group). The rank one and two Lie conformal algebras were classified in [DK] and [K1,HF,BCH,W1] respectively. The rank three Lie conformal algebras were partially classified in [W].…”

Section: Introductionmentioning

confidence: 99%

Finite irreducible conformal modules of rank two Lie conformal algebras

Hong

2020

J. Algebra Appl.

View full text Add to dashboard Cite

In the present paper, we prove that any finite nontrivial irreducible module over a rank two Lie conformal algebra [Formula: see text] is of rank one. We also describe the actions of [Formula: see text] on its finite irreducible modules explicitly. Moreover, we show that all finite nontrivial irreducible modules of finite Lie conformal algebras whose semisimple quotient is the Virasoro Lie conformal algebra are of rank one.

show abstract

Section: Introductionmentioning

confidence: 99%

Finite irreducible conformal modules of rank two Lie conformal algebras

Hong

2020

J. Algebra Appl.

View full text Add to dashboard Cite

show abstract

Schrödinger-Virasoro Lie conformal algebras

Wang

2022

Communications in Algebra

View full text Add to dashboard Cite

Evolution of the Continental Crust in the Northern Tibetan Plateau: Constraints From Geochronology and Hf Isotopes of Detrital Zircons

et al. 2022

View full text Add to dashboard Cite

To investigate the evolution of the continental crust in the northern Tibetan Plateau, detrital zircon U–Pb geochronology and Hf isotopes analysis were performed on two fluvial sand samples from North Qaidam (the Yuka and Shaliu rivers). A total of 443 detrital zircon U–Pb ages and 244 Hf isotopic results were obtained and reveal that the South Qilian, North Qaidam, and East Kunlun terranes show affinity to the western Yangtze Block. Age distributions of detrital zircons from the Yuka River cluster mainly in two age intervals of 1,000–700 and 480–400 Ma. The corresponding εHf(t) values are mostly negative, with depleted two-stage Hf model ages (TDM2) of 2.1–1.6 Ga. In contrast, age data for the Shaliu River fall in the ranges of 1,000–700, 460–380, and 260–200 Ma, with TDM2 ages of 2.0–1.6 and 1.6–1.2 Ga. In addition, zircons with Neoproterozoic ages from both river samples possess common Paleoproterozoic TDM2 ages (2.0–1.6 Ga, with a peak of 1.8–1.7 Ga), indicating that the South Qilian, North Qaidam and East Kunlun terranes were probably part of the same Neoproterozoic continent. The East Kunlun and North Qaidam terranes are inferred to include Mesoproterozoic continental crust (1.6–1.0 Ga), suggesting differences in crustal evolution between the East Kunlun–North Qaidam and Qilian terranes. Phanerozoic magmatism in these three terranes was sourced mainly from the recycling of ancient continental crust with minor contributions from the juvenile crust.

show abstract

Leibniz Conformal Algebras of Rank Two

Cited by 3 publications

References 9 publications

Finite irreducible conformal modules of rank two Lie conformal algebras

Finite irreducible conformal modules of rank two Lie conformal algebras

Schrödinger-Virasoro Lie conformal algebras

Evolution of the Continental Crust in the Northern Tibetan Plateau: Constraints From Geochronology and Hf Isotopes of Detrital Zircons

Contact Info

Product

Resources

About