A universal rigid abelian tensor category
نویسندگان
چکیده
We prove that any rigid additive symmetric monoidal category can be mapped to a abelian in universal way. This yields novel approach Grothendieck's standard conjecture D and Voevodsky's smash nilpotence conjecture.
منابع مشابه
Universal Abelian
We examine the existence of universal elements in classes of innnite abelian groups. The method is deening some invariant of a group relative to a club guessing sequence, a combinatorial tool marketed here to algebraists. We prove, for example: Theorem: For n 2, there is a purely universal separable p-group in @ n if, and only if, 2 @ 0 @ n. + < < @ 0 , then there is no universal separable p-gr...
متن کاملVertex tensor category structure on a category of Kazhdan-Lusztig
We incorporate a category considered by Kazhdan and Lusztig of certain modules (of a fixed level , not a positive integer) for an affine Lie algebra, into the representation theory of vertex operator algebras. We do this using the logarithmic tensor product theory for generalized modules for a vertex operator algebra developed by Huang, Lepowsky and the author; we prove that the conditions for ...
متن کاملUniversal Abelian Groups
We examine the existence of universal elements in classes of infinite abelian groups. The main method is using group invariants which are defined relative to club guessing sequences. We prove, for example: Theorem: For n ≥ 2, there is a purely universal separable p-group in אn if, and only if, 20 ≤ אn. §0 Introduction In this paper “group” will always mean “infinite abelian group”, and “cardina...
متن کاملA Construction of a Quotient Tensor Category
Let f : G → A be a surjective homomorphism of transitive groupoid schemes and let L denote the kernel of f . The exact sequence of groupoid schemes 1 → L → G → A → 1 induces a sequence of functors between the categories of finite representations of these groupoid schemes Repf (A) → Repf (G) → Repf (L). We show that the category Repf (L) is a quotient category of Repf (G) by Repf (A) in an appro...
متن کاملNon-abelian Tensor-multiplet Anomalies
We use the anomaly cancellation of the M-theory fivebrane to derive the R-symmetry anomalies of the AN (0, 2) tensor-multiplet theories. This result leads to a simple derivation of black hole entropy in d = 4,N = 2 compactifications of M -theory. We also show how the formalism of normal bundle anomaly cancellation clarifies the Kaluza-Klein origin of Chern-Simons terms in gauged supergravity th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Documenta Mathematica
سال: 2022
ISSN: ['1431-0635', '1431-0643']
DOI: https://doi.org/10.4171/dm/882