The determinantal formula gives an expression of Specht modules by permutational modules in the Grot
The determinantal formula gives an expression of Specht modules by permutational modules in the Grothendieck ring of modules over the symmetric group S_n. It was shown by Zelevinskii in "Resolutions, dual pairs and character formulas" (J. Funktsional. Anal. i Prilozhen. Vol. 21 p. 74-75) that for each Specht module over a field of zero characteristic there is a coresolution by permutational modules that realises this expression. We construct permutational coresolutions for Specht modules over a field of positive characteristic.
Date and Venue
Start Date
Venue
0.06, Edifício dos Departamentos de Matemática
Speaker
Ivan Yudin (Centro de Matemática da Universidade de Coimbra)
Area
Other