The differential graded odd nilHecke algebra

Abstract

We equip the odd nilHecke algebra and its associated thick calculus category with digrammatically local differentials. The resulting differential graded Grothendieck groups are isomorphic to two different forms of the positive part of quantum sl(2) at a fourth root of unity.

53 pages

References in corpus (5)

• 2-Kac-Moody algebras
• Knot invariants and higher representation theory
• A categorification of quantum sl(2) at prime roots of unity
• A Categorification of the Burau representation at prime roots of unity
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Cited by in corpus (10)

• Quantum gl(1|1) and tangle Floer homology
• Categorification at prime roots of unity and hopfological finiteness
• DG structures on odd categorified quantum sl(2)
• p-DG cyclotomic nilHecke algebras
• Categorical lifting of the Jones polynomial: a survey
• A categorification of a quantum Frobenius map
• p-DG cyclotomic nilHecke algebras II
• Clifford-symmetric polynomials
• Not even Khovanov homology
• A $p$-DG deformed Webster algebra of type $A_1$