Kulish, Petr P.; Lyakhovsky, Vladimir D.; Stolin, Alexander Full chains of twists for orthogonal algebras. (English) Zbl 1050.81563 Czech. J. Phys. 50, No. 11, 1291-1296 (2000). Summary: We show that for some Hopf subalgebras in \(U_\mathcal F(\text{so}(M))\) nontrivially deformed by a twist \(\mathcal F\) it is possible to find the nonlinear primitive copies. This enlarges the possibilities to construct chains of twists. For orthogonal algebra \(U(\text{so}(M))\) we present a method to compose the full chains with carrier space as large as the Borel subalgebra \(B(\text{so}(M))\). These chains can be used to construct the new deformed Yangians. Cited in 1 ReviewCited in 4 Documents MSC: 81R50 Quantum groups and related algebraic methods applied to problems in quantum theory 17B37 Quantum groups (quantized enveloping algebras) and related deformations 81-06 Proceedings, conferences, collections, etc. pertaining to quantum theory 81R15 Operator algebra methods applied to problems in quantum theory 81R25 Spinor and twistor methods applied to problems in quantum theory Keywords:chains of twists; primitivization of subalgebras PDF BibTeX XML Cite \textit{P. P. Kulish} et al., Czech. J. Phys. 50, No. 11, 1291--1296 (2000; Zbl 1050.81563) Full Text: DOI arXiv OpenURL