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In mathematics, a Tannakian category is a particular kind of monoidal category C, equipped with some extra structure relative to a given field K. The role...

with the tensor product of representations, form a tannakian category RepG. In fact, tannakian categories with a "fiber functor" over a field are equivalent...

\mathbb {Q} } -vector spaces. It can be shown that the former category is a Tannakian category. Assuming the equivalence of homological and numerical equivalence...

reworked the Tannakian category theory in his 1990 paper for the "Grothendieck Festschrift", employing Beck's theorem – the Tannakian category concept being...

compact categories. Tannakian categories are monoidal categories enriched over a field, which are very similar to representation categories of linear...

algebra. The stable category of a Frobenius category is canonically a triangulated category. Dagger compact category Tannakian category Theorem 2.6 in Happel...

from the one suggested nowadays. The category of Nori semistable vector bundles contains the Tannakian category of essentially finite vector bundles,...

More specifically symmetric monoidal categories (such as is the case with, e.g., the theory of Tannakian categories) This disambiguation page lists articles...

topological groups from their category of finite-dimensional continuous unitary representations (that is, Tannakian categories). They also appeared in the...

dual object, making it into a Tannakian category. By Tannaka–Krein philosophy, this category is equivalent to the category of finite-dimensional representations...

He earned his PhD degree from Princeton University in 2016 on "A Tannakian Category and a Horizontal Equidistribution Conjecture for Exponential Sums"...

subschemes of S {\displaystyle S} could be included. Deligne; Milne. "Tannakian Categories" (PDF). p. 58. SGA 4 and SGA 4 IV Motivic Galois group - https://web...

in his thesis on Tannakian categories. There are at least two equivalent definitions of a rigidity. An object X of a monoidal category is called left rigid...

approach. In a later work, Pierre Deligne applied Beck's theorem to Tannakian category theory, greatly simplifying the basic developments. The forgetful...

subject of the Tannaka–Krein duality, now often recast in terms of Tannakian category theory. The influence of the compact group theory on non-compact groups...

algebraic solutions of the original equation. Nicholas Katz has applied Tannakian category techniques to show that this conjecture is essentially the same as...

significant role in Hodge theory, since the Tannakian category of real Hodge structures is equivalent to the category of representations of S . {\displaystyle...

built as the affine group scheme naturally associated to the neutral tannakian category (over k {\displaystyle k} ) of essentially finite vector bundles over...

Mathematik - Master. 2020. doi:10.1007/978-3-658-30733-2. ISBN 978-3-658-30732-5. S2CID 124918611. Stack of Tannakian categories? Galois descent? v t e...

category is semisimple; i.e., whether an object decomposes into simple objects (see Maschke's theorem for the case of finite groups). The Tannakian formalism...