Extensions of modules for SL(2,K)

JOURNAL OF ALGEBRA

卷:254

Article

De Visscher, M

关键词: special linear group;    symmetric powers;    decomposition matrix;   

DOI  :  10.1016/S0021-8693(02)00084-4

来源: Elsevier

【 摘 要 】

In this paper, we consider the induced modules del and the Weyl modules Delta for the algebraic group G = SL(2, K) where K is an algebraically closed field of characteristic p > 0. We determine the G-modules H-i (G(1), del (s) circle times del (t)) for all i greater than or equal to 0, where G(1) is the first Frobenius kernel of G. We then use it to find the Ext(1)-spaces between twisted tensor products of Weyl modules and induced modules for G. Moreover, we describe explicitly the non-split extensions corresponding to del's. (C) 2002 Elsevier Science (USA). All rights reserved.

【 授权许可】

Free