On the module structure of the center of hyperelliptic Krichever–Novikov algebras II

DOI10.1080/00927872.2019.1612421zbMath1430.22024arXiv1812.00330OpenAlexW2962705146MaRDI QIDQ5238157

Xiangqian Guo, Mee Seong Im, Kaiming Zhao, Ben L. Cox

Publication date: 28 October 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.00330

zbMATH Keywords

hyperelliptic curveautomorphism groupsKrichever-Novikov algebrasuniversal central extensioncurrent Lie algebra

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Lie algebras of Lie groups (22E60) Derivations, actions of Lie algebras (16W25) Lie groups (22E99) Analysis on and representations of infinite-dimensional Lie groups (22E66)

Cites Work

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• Module structure of the center of the universal central extension of a genus zero Krichever-Novikov algebra
• Certain families of polynomials arising in the study of hyperelliptic Lie algebras
• Regular Lie rings of derivations
• The full automorphism groups of hyperelliptic Riemann surfaces
• On the universal central extension of hyperelliptic current algebras
• Simple superelliptic Lie algebras
• n-Point Virasoro algebras and their modules of densities
• On the module structure of the center of hyperelliptic Krichever-Novikov algebras

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