DEPARTMENT OF MATHEMATICS

Professor Alexander Premet Professor of Algebra Room 9.04 Department of Mathematics  University of Manchester Oxford Road Manchester M13 9PL  U.K.  sashap@ma.man.ac.uk +44 (0)161 275 5854 (direct line)  +44 (0)161 275 5800 (general office)  +44 (0)161 275 5819 (fax)

Research Interests

Lie Theory, algebraic groups, invariant theory

My main research interests are in classification theory of simple Lie algebras of characteristic p, in representation theory of reductive groups and their Lie agebras, and in invariant theory of reductive groups.
 

Publications

A.Premet. Special transverse slices and their evolving algebras.

A. Premet & H. Strade. Simple Lie algebras of small characteristic III. The Toral Rank 2 Case.

A. Premet & I. Gordon (2000). Block Representation Type of Reduced Enveloping Algebras (accepted by Tran. Amer. Math. Soc.)

A. Premet (1997). Suppot varieties of non-restricted modules over Lie algebras of reductive groups. J. London Maths Soc.55, 236-250

A. Premet & H. Strade (1997). Simple Lie algebras of small characteristic I. Sandwich elements. J. Algrebra189, 419-480

A. Premet (1998). Complexity of Lie algebra representations and nilpoint elements of the stablizers of linear forms Math Z. 228, 255-282

A. Premet & S. Skryabin (1999). Representations of restricted Lie algebras and families of associative L-algebras, J.reine angew. Math., 507, 189-218

A. Premet & H. Strade (1999). Simple Lie algebras of small characteristic II. Exceptional roots. J. Algebra216, 190-301

A.S. Kleshchev and A. Premet (2000). The globally irreducible representations of symmetric groups. Proc. Amer. Math. Soc,128, 647-655

Teaching

MT4121: Lie Algebras

MT2212: Further Linear Algebra