Quasi-hereditary quotients of finite Chevalley groups and Frobenius kernels

Author: de Visscher, Maud

Source: Quarterly Journal of Mathematics, Volume 56, Number 1, 15 March 2005 , pp. 111-121(11)

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Abstract:

Let G be a semisimple connected simply connected linear algebraic group over an algebraically closed field k of characteristic p > 0. Denote by G<inf>n</inf> its nth Frobenius kernel and by G(pⁿ) its finite subgroup of F<inf>pⁿ</inf>-rational points. In this paper we find quotients of the algebra U<inf>n</inf> = k[G<inf>n</inf>]^* and of the group algebra kG(pⁿ) whose module category is equivalent to a (highest weight) subcategory of the category of rational G-modules.

Keywords: planning; mapping; need and unmet need; research; service development

Document Type: Research article

DOI: http://dx.doi.org/10.1093/qmath/hah025

Publication date: 2005-03-15

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The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. Areas such as algebra, differential geometry, and global analysis receive particular emphasis. However the journal avoids specialization.