caa a22 4500 469099127 CHVBK 20180323133040.0 cr unu---uuuuu 170328e19920101xx s 000 0 eng 10.1007/BF00430004 doi (NATIONALLICENCE)springer-10.1007/BF00430004 Universal deformations of simple Lie algebras [Elektronische Daten] [P. Truini, V. Varadarajan] This Letter examines the question of the structure of the Hopf algebra deformations of the universal enveloping algebras of the simple Lie algebras. Deformations of a complex algebra A are viewed as algebras defined over formal power series rings that specialize to A when the parameters go to 0. Only the case of U(sl(2,C)) is treated but the methods are general. Under the Ansatz that the two Borel subalgebras are deformed as Hopf algebras but possibly differently, we construct a universal two-parameter deformation. Kluwer Academic Publishers, 1992 Truini P. Dipartimento di Fisica, Università di Genova, Istituto Nazionale di Fisica Nucleare, Sezione di Genova, Via Dodecaneso 33, 16146, Genova, Italy aut Varadarajan V. Department of Mathematics, University of California at Los Angeles, 90024, Los Angeles, CA, USA aut Letters in Mathematical Physics Kluwer Academic Publishers 24/1(1992-01-01), 63-71 0377-9017 24:1<63 1992 24 11005 https://doi.org/10.1007/BF00430004 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00430004 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Truini P. Dipartimento di Fisica, Università di Genova, Istituto Nazionale di Fisica Nucleare, Sezione di Genova, Via Dodecaneso 33, 16146, Genova, Italy aut NATIONALLICENCE 700 1- Varadarajan V. Department of Mathematics, University of California at Los Angeles, 90024, Los Angeles, CA, USA aut NATIONALLICENCE 773 0- Letters in Mathematical Physics Kluwer Academic Publishers 24/1(1992-01-01), 63-71 0377-9017 24:1<63 1992 24 11005 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer