On the Clebsch-Gordan problem in positive characteristic
 
 
Description:  This is joint work with Samuel Martin. Consider the special linear group G of degree 2, over the complex numbers. There is one rational irreducible G-module V(r) for each non-negative integer r. The module V(r) has dimension r+1 and may be realised as the rth symmetric power of the natural module. The celebrated Clebsch-Gordan formula describes the decomposition of the tensor product of V(r) and V(s) as a direct sum of
irreducible modules. Now suppose the complex field is replaced by an infinite field of positive characteristic. We consider several variations on the  "Clebsch-Gordan problem". The decomposition of the tensor product of irreducible modules was determined by Doty and Henke. The decomposition of the tensor product of symmetric powers was given by Cavallin. This leaves the tensor product of a symmetric power of the natural module with the dual of such a module and this is the case we treat here.
Date:  2018-07-05
Start Time:   15:00
Speaker:  Stephen Donkin (Univ. of York, UK)
Institution:  The University of York, UK
Place:  Room 5.5, Department of Mathematics, U.C.
Research Groups: -Algebra and Combinatorics
See more:   <Main>  
 
© Centre for Mathematics, University of Coimbra, funded by
Science and Technology Foundation
Powered by: rdOnWeb v1.4 | technical support