REALIZATIONS OF THE THREE-POINT LIE ALGEBRA sl(2, R) ⊕ (ΩR/dR)

被引：9

作者：

Cox, Ben ^{[1
]}

Jurisich, Elizabeth ^{[1
]}

机构：

[1] Coll Charleston, Dept Math, Charleston, SC 29424 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2014年 / 270卷 / 01期

关键词：

three point algebras; Krichever-Novikov algebras; free field realizations; Wakimoto modules; affine Lie algebras; Fock spaces; KRICHEVER-NOVIKOV TYPE; KNIZHNIK-ZAMOLODCHIKOV EQUATIONS; HIGHEST WEIGHT REPRESENTATIONS; GLOBAL GEOMETRIC DEFORMATIONS; RIEMANN SURFACES; CENTRAL EXTENSIONS; VIRASORO-TYPE; AFFINE ALGEBRAS; MODULES;

D O I：

10.2140/pjm.2014.270.27

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the universal central extension of the three-point current algebra sl(2, R), where R = C[t, t(-1), u vertical bar u(2) = t(2)+4t], and construct realizations of it in terms of sums of partial differential operators.

引用

页码：27 / 47

页数：21

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