Off-campus UMass Amherst users: To download dissertations, please use the following link to log into our proxy server with your UMass Amherst user name and password.

Non-UMass Amherst users, please click the view more button below to purchase a copy of this dissertation from Proquest.

(Some titles may also be available free of charge in our Open Access Dissertation Collection, so please check there first.)

Modular Lie algebras and their representations

Dmitriy Rumynin, University of Massachusetts Amherst


In this thesis we study representation theory of Lie algebras in positive characteristic. We develop an algebraic formalism that produces reduced enveloping algebras. Restricting our attention to the case of a classical semisimple Lie algebra, we explicitly compute the reduced enveloping algebra at a regular functional. Finally, we introduce a geometric machinery producing representations.

Subject Area


Recommended Citation

Rumynin, Dmitriy, "Modular Lie algebras and their representations" (1998). Doctoral Dissertations Available from Proquest. AAI9909214.