ABSTRACT HOMOMORPHISMS OF ALGEBRAIC GROUPS

GARY M. SEITZ

doi:10.1112/S0024610797005176

Abstract

In this paper we are concerned with abstract homomorphisms from one algebraic group to another. That is, group homomorphisms where there is no assumption of rationality. Let K be an infinite perfect field and L an algebraically closed field of the same characteristic. Throughout G(K) will denote a Chevalley group of universal type over K.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Passman, D. and Zalesskiĭ, A. 2001. Invariant ideals of abelian group algebras and representations of groups of Lie type. Transactions of the American Mathematical Society, Vol. 353, Issue. 7, p. 2971.

Lifschitz, L and Rapinchuk, A 2001. On Abstract Homomorphisms of Chevalley Groups with Nonreductive Image, I. Journal of Algebra, Vol. 242, Issue. 1, p. 374.

Bate, Michael Martin, Benjamin and Röhrle, Gerhard 2005. A geometric approach to complete reducibility. Inventiones mathematicae, Vol. 161, Issue. 1, p. 177.

Shtern, Alexander I 2011. The structure of homomorphisms of connected locally compact groups into compact groups. Izvestiya: Mathematics, Vol. 75, Issue. 6, p. 1279.

Bate, Michael Martin, Benjamin Röhrle, Gerhard and Tange, Rudolf 2011. Complete reducibility and conjugacy classes of tuples in algebraic groups and Lie algebras. Mathematische Zeitschrift, Vol. 269, Issue. 3-4, p. 809.

Штерн, Александр Исаакович Shtern, Alexander Isaakovich Штерн, Александр Исаакович and Shtern, Alexander Isaakovich 2011. Структура гомоморфизмов связных локально компактных групп в компактные группы. Известия Российской академии наук. Серия математическая, Vol. 75, Issue. 6, p. 195.

Rapinchuk, Igor 2013. On abstract representations of the groups of rational points of algebraic groups and their deformations. Algebra & Number Theory, Vol. 7, Issue. 7, p. 1685.

Shtern, A. I. 2014. The structure of locally bounded finite-dimensional representations of connected locally compact groups. Sbornik: Mathematics, Vol. 205, Issue. 4, p. 600.

Штерн, Александр Исаакович and Shtern, Alexander Isaakovich 2014. Строение локально ограниченных конечномерных представлений связных локально компактных групп. Математический сборник, Vol. 205, Issue. 4, p. 149.

Boyarchenko, Mitya and Rapinchuk, Igor A. 2016. On abstract representations of the groups of rational points of algebraic groups in positive characteristic. Archiv der Mathematik, Vol. 107, Issue. 6, p. 569.

Article contents

ABSTRACT HOMOMORPHISMS OF ALGEBRAIC GROUPS

Abstract

Access options

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

ABSTRACT HOMOMORPHISMS OF ALGEBRAIC GROUPS

Abstract

Access options

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests