Classification of low-dimensional Lie super-bialgebras | Zendy

Cezary Juszczak | Zendy; J. T. Sobczyk | Zendy

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Classification of low-dimensional Lie super-bialgebras

Author(s) -

Cezary Juszczak,

J. T. Sobczyk

Publication year - 1998

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.532504

Subject(s) - mathematics , algebra over a field , lie group , pure mathematics , sociology , epistemology , philosophy

A thorough analysis of Lie super-bialgebra structures on Lie super-algebrasosp(1|2) and super-e(2) is presented. Combined technique of computer algebraiccomputations and a subsequent identification of equivalent structures isapplied. In all the cases Poisson-Lie brackets on supergroups are found.Possibility of quantizing them in order to obtain quantum groups is discussed.It turns out to be straightforward for all but one structures for super-E(2)group.Comment: 15 pages, LaTe

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