Specialization Map for Quiver Grassmannians

Algebras and Representation Theory

Abstract

Abstract We define a specialization map between cohomology algebras of quiver Grassmannians of Dynkin type and we prove that it is surjective in type A. This generalizes a result of Lanini and Strickland.

Authors 4

1. Giovanni Cerulli Irelli corresponding

   Sapienza University of Rome

   Affiliation as printed

   Sapienza Università di Roma, Via Scarpa 10, 00161, Roma, Italy

2. Francesco Esposito

   University of Padua

   Affiliation as printed

   University of Padova, via Trieste 63, 35121, Padova, Italy

3. Xin Fang Aachen Chair of Algebra and Representation Theory

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University, Chair of Algebra and Representation Theory, Pontdriesch 10–16, 52062, Aachen, Germany

4. Ghislain Fourier Aachen Chair of Algebra and Representation Theory

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University, Chair of Algebra and Representation Theory, Pontdriesch 10–16, 52062, Aachen, Germany