An approach to categorification of some small quantum groups II

Abstract

We categorify an idempotented form of quantum sl2 and some of its simple representations at a prime root of unity.

59 pages, many PSTricks figures, v2 contains minor corrections and updated references

References in corpus (7)

• 2-Kac-Moody algebras
• Khovanov homology is a skew Howe 2-representation of categorified quantum sl(m)
• An approach to categorification of some small quantum groups
• Hopfological Algebra
• A categorification of quantum sl(2) at prime roots of unity
• Hopfological algebra and categorification at a root of unity: the first steps
• On the definition of Kac-Moody 2-category

Cited by in corpus (24)

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• The differential graded odd nilHecke algebra
• Categorification at prime roots of unity and hopfological finiteness
• The center of small quantum groups I: the principal block in type A
• DG structures on odd categorified quantum sl(2)
• p-DG cyclotomic nilHecke algebras
• On some $p$-differential graded link homologies
• A categorification of a quantum Frobenius map
• A categorification of cyclotomic rings
• Braid group actions from categorical symmetric Howe duality on deformed Webster algebras
• p-DG cyclotomic nilHecke algebras II
• Actions of sl_2 on algebras appearing in categorification
• Categorifying Hecke algebras at prime roots of unity, part I
• Simplicial Structure on Complexes
• A categorification of the colored Jones polynomial at a root of unity
• A braid group action on a $p$-DG homotopy category
• A categorification of the square root of -1
• A $p$-DG deformed Webster algebra of type $A_1$
• Enhanced nilHecke algebras and baby Verma modules
• Superized Troesch complexes and cohomology for strict polynomial superfunctors
• Cell 2-Representations and Categorification at Prime Roots of Unity