Quiver and relations for SL(2,pn ) in characteristic p with p odd

Quiver and relations for SL(2,pn ) in characteristic p with p odd
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特征 p 中 p 为奇数的颤动和 SL(2,pn ) 的关系

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发表时间:
1998
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通讯作者:
H. Koshita
H. Koshita
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文献类型:
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作者:
H. Koshita

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设G = SL(2,pn) p为奇数。设KG为特征为p的代数闭域K上G的群代数。一般来说,有限维基本代数可以用带关系的颤振来描述。对于KG来说,箭袋是众所周知的。也就是说,简单的KG模块及其扩展决定了它。本文的目的是得到它们之间的关系,并用它们来描述KG的基本代数。
Let G = SL(2,pn ) with p odd. Let KG be the group algebra of G over an algebraically closed field K of characteristic p. In general, a finite dimensional basic algebra can be described by a quiver with relations. For KG, the quiver has been known. Namely the simple KG modules and their extensions determine it. The aim of this paper is to get the relations and describe the basic algebra of KG by the quiver with them.