AUTOMORPHISMS AND FORMS OF LIE-ALGEBRAS OF CARTAN TYPE

Authors
Citation
B. Shu et Gy. Shen, AUTOMORPHISMS AND FORMS OF LIE-ALGEBRAS OF CARTAN TYPE, Communications in algebra, 23(14), 1995, pp. 5243-5268
Citations number
13
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
ISSN journal
00927872
Volume
23
Issue
14
Year of publication
1995
Pages
5243 - 5268
Database
ISI
SICI code
0092-7872(1995)23:14<5243:AAFOLO>2.0.ZU;2-3
Abstract
Let L be any of simple Lie algebras of Cartan type L = X((2))(m : n : Phi), X = S, H or K, n not equal 1, over a field F of characteristic p > 3, and R a commutative ring extension of F. Then Aut(R)(R x L) cong ruent to Aut(R)(R x U(m : n) : R x L). It follows that, Bn forms of L are standard and thereby are determined.