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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.
You Qi, University of Virginia, Charlottesville, Virginia. Joshua Sussan, The City University of New York (CUNY) Medgar Evers, Brooklyn, New York.
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 $S_2^4$