Categorifies tensor products of the fundamental representation of quantum sl2 at prime roots of unity, building upon earlier work where a tensor product of two Weyl modules was categorified.
Chapters
1. Introduction
2. The quantum group $\mathfrak {sl}_2$ at a root of unity
3. Elements of hopfological algebra
4. Cellular algebras under $p$-differential
5. A categorification of quantum $\mathfrak {sl}_2$ at prime roots of unity
6. Some cyclic modules
7. The quiver Schur algebra
8. Webster algebras
A. Example: the algebra $S_2^4$
You Qi, University of Virginia, Charlottesville, Virginia.
Joshua Sussan, The City University of New York (CUNY) Medgar Evers, Brooklyn, New York.
