Deformations and contractions of algebraic structures

DOI10.1134/S0081543814060145zbMath1309.14002OpenAlexW2043596198MaRDI QIDQ2514594

Alice Fialowski

Publication date: 3 February 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543814060145

zbMATH Keywords

contractionjump deformationKodaira-Spencer theoryalgebraic deformationanalytic deformation

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Homological methods in Lie (super)algebras (17B55) Graded Lie (super)algebras (17B70) Formal methods and deformations in algebraic geometry (14D15)

Related Items

Algorithmic construction of solvable rigid Lie algebras determined by generating functions ⋮ Cohomologically rigid solvable Lie algebras with a nilradical of arbitrary characteristic sequence ⋮ Some features of rank one real solvable cohomologically rigid Lie algebras with a nilradical contracting onto the model filiform Lie algebra \(Q_n\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons
• Construction of miniversal deformations of Lie algebras
• Global geometric deformations of current algebras as Krichever-Novikov type algebras
• On deformations and contractions of Lie algebras
• On the deformation of rings and algebras
• CONTRACTIONS, GENERALIZED INÖNÜ-WIGNER CONTRACTIONS AND DEFORMATIONS OF FINITE-DIMENSIONAL LIE ALGEBRAS
• Contraction of Lie Groups
• GLOBAL DEFORMATIONS OF THE WITT ALGEBRA OF KRICHEVER–NOVIKOV TYPE
• Functors of Artin Rings
• ON MATRICES DEPENDING ON PARAMETERS
• On the Contraction of Groups and Their Representations