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|Title:||Lie algebras of an affinization of a generalized Cartan matrix|
|Citation:||Lum, K.H. (1998-06-02). Lie algebras of an affinization of a generalized Cartan matrix. Archiv der Mathematik 70 (6) : 438-446. ScholarBank@NUS Repository.|
|Abstract:||Let A be a 1-fold affinization of a generalized Cartan matrix A of finite or affine type so that A has two identical columns and two identical rows. One can associate to A a Lie algebra ga(A) which is isomorphic to either the u.c.a. of a loop algebra or a 2-toroidal Lie algebra. On the other hand, there is also the radical free contragredient Lie algebra gc(A) of A. We show that there is a Lie algebra f so that both gc(A) and ga(A) are homomorphic images of f with finitely generated kernels.|
|Source Title:||Archiv der Mathematik|
|Appears in Collections:||Staff Publications|
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