Presenting the graded Lie algebra associated to the Nottingham group

DOI10.1006/jabr.1997.7138zbMath0977.17016OpenAlexW2085227954WikidataQ115395940 ScholiaQ115395940MaRDI QIDQ1375982

Andrea Caranti

Publication date: 2 December 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7138

zbMATH Keywords

Witt algebraloop algebragraded Lie algebrauniversal coveringNottingham group

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Modular Lie (super)algebras (17B50) Associated Lie structures for groups (20F40)

Related Items

SOME LOOP ALGEBRAS OF HAMILTONIAN LIE ALGEBRAS ⋮ THE STRUCTURE OF THIN LIE ALGEBRAS WITH CHARACTERISTIC TWO ⋮ A sandwich in thin lie algebras ⋮ Constituents of graded Lie algebras of maximal class and chains of thin Lie algebras ⋮ Just infiniteness of the generalized Nottingham group ⋮ Thin loop algebras of Albert-Zassenhaus algebras ⋮ Quotients of maximal class of thin lie algebras. the odd characteristic case ⋮ Quotients of maximal class of thin lie algebras. the case of characteristic two ⋮ Towards a finite presentation for the Nottingham group. ⋮ THE OTHER GRADED LIE ALGEBRA ASSOCIATED TO THE NOTTINGHAM GROUP ⋮ Unnamed Item ⋮ Gradings of non-graded Hamiltonian Lie algebras ⋮ NOTTINGHAM LIE ALGEBRAS WITH DIAMONDS OF FINITE TYPE ⋮ Loop algebras of Zassenhaus algebras in characteristic three ⋮ Thin Lie algebras with diamonds of finite and infinite type ⋮ Diamond distances in Nottingham algebras

Uses Software

• GAP

Cites Work

• The arithmetic theory of loop groups
• Finitely presented group whose center is not finitely generated
• Subgroups of the Nottingham group
• The Associative Forms of the Graded Cartan Type Lie Algebras
• Dual Space Derivations and H²(L, F) of Modular Lie Algebras
• On the Extensions of Lie Algebras
• Endliche Gruppen I
• Some Remarks on Infinite Groups
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