2019/08/24 by Alexei Davydov, Davydov, Alexei, Mohamed Elbehiry +1
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.1908.09192
openalex publication_date 2019/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The deformation cohomology of a tensor category controls deformations of its\nmonoidal structure. Here we describe the deformation cohomology of tensor\ncategories generated by one object (the so-called Schur-Weyl categories). Using\nthis description we compute the deformation cohomology of free symmetric tensor\ncategories generated by one object with an algebra of endomorphism free of\nzero-divisors. We compare the answers with the exterior invariants of the\ngeneral linear Lie algebra.\n