RT Journal Article T1 On the pre-lambda-ring structure on the Grothendieck ring of stacks and the power structures over it A1 Gusein-Zade, Sabir Medgidovich A1 Luengo Velasco, Ignacio A1 Melle Hernández, Alejandro AB We describe a pre-lambda-structure on the Grothendieck ring of stacks (originally studied by Torsten Ekedahl) and the corresponding power structures over it, discuss some of their properties and give some explicit formulae for the Kapranov zeta-function for some stacks. In particular, we show that the nth symmetric power of the class of the classifying stack BGL(1) of the group GL(1) coincides, up to a power of the class L of the affine line, with the class of the classifying stack BGL(n). PB Cambridge Univ. Press SN 0024-6093 YR 2013 FD 2013-06 LK https://hdl.handle.net/20.500.14352/33324 UL https://hdl.handle.net/20.500.14352/33324 LA eng NO Russian government NO Simons-IUM fellowship NO Universidad Complutense - Grupo Santande NO Grupo Singular DS Docta Complutense RD 16 may 2026