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Basic twist quantization of the exceptional Lie algebra g(2)статья
Информация о цитировании статьи получена из
Web of Science
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 13 ноября 2012 г.
- Авторы: Borowiec A., Lukierski J., Lyakhovsky V., Mozrzymas M., Tolstoy V.N.
- Журнал: Journal of Mathematical Physics
- Том: 46
- Номер: 10
- Год издания: 2005
- Издательство: AIP Publishing
- Местоположение издательства: United States
- DOI: 10.1063/1.2041849
- Аннотация: We present the formulas for twist quantization of g2, corresponding to the solution of a classical YB equation with support in the eight-dimensional Borel subalgebra of g2. The considered chain of twists consists of the four factors describing the four steps of quantization: Jordanian twist, the two twist factors extending Jordanian twist and the deformed Jordanian or in a second variant additional Abelian twist. The first two steps describe as well the sl(3) quantization. The coproducts are calculated for each step in explicit form, and for that purpose we present new formulas for the calculation of similarity transformations on the tensor product. We introduce new basic generators in universal enveloping algebra U(g2) that provide nonlinearities in the algebraic sector maximally simplifying the deformed coproducts.
- Добавил в систему: Толстой Валерий Николаевич