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math.RTNov 1, 2017
6
citations (OpenAlex)
authors
  • Mikhail Khovanov
  • You Qi
  • Joshua Sussan
arXiv abstractPDF
paper

p-DG cyclotomic nilHecke algebras

arXiv:1711.07159 · doi:10.1090/memo/1462

Abstract

We categorify a tensor product of two Weyl modules for quantum sl(2) at a prime root of unity.

72 pages, multiple diagrammatic computations, best viewed in color. v2 contains corrections from referee reports. Accepted by the Memoirs of the AMS. Comments welcome

References in corpus (10)

  • 2-Kac-Moody algebras
  • Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras
  • Derived equivalences for symmetric groups and sl\_2-categorification
  • Affine highest weight categories and affine quasihereditary algebras
  • Integral Basis Theorem of cyclotomic Khovanov-Lauda-Rouquier algebras of Type A
  • Indecomposable 1-morphisms of \dot{U}^+_3 and the canonical basis of U_q^+(sl_3)
  • DG structures on odd categorified quantum sl(2)
  • A categorification of a quantum Frobenius map
  • A categorification of cyclotomic rings
  • Categorification of the ring of cyclotomic integers for products of two primes

Cited by in corpus (5)

  • Ozsvath-Szabo bordered algebras and subquotients of category O
  • p-DG cyclotomic nilHecke algebras II
  • A categorification of the colored Jones polynomial at a root of unity
  • Enhanced nilHecke algebras and baby Verma modules
  • A p-DG deformed Webster algebra of type A1​
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