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Twist of Lie algebras by 6-dimensional subalgebra

2000/08/14 by N. Aizawa
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math.QA

paper · pdf · doi:10.1016/s0034-4877(01)80059-8

published as Rep. Math. Phys. 48 (2001) 11-18 · 10pages, Talk given at 32nd Symposium on Mathematical Physics, June 2000, Torun, Poland

arxiv created 2000/08/14 · openalex publication_date 2001/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A new non-standard deformation of all types of classical Lie algebras is constructed by means of Drinfel'd twist based on a six dimensional subalgebra. This is an extension of extended twists introduced by Kulish et al. For the algebra M3 = so(3,2), a relation to a known non-standard deformation is discussed.

Citations