Tensor triangulated category

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August undefined, 2024

WebA triangulated category is an additive category with an additive auto-equivalence called a translation (or shift) functor, and a class of distinguished triangles satisfying various axioms. Learn more… Top users Synonyms 179 questions Newest Active Filter 1 vote 0 answers 30 views Product, coproduct, and convolution of chain complexes WebSource code for Part III Essay. Contribute to thecatbus/part-iii-essay development by creating an account on GitHub.

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WebIn all these cases the model categories are stable and the homotopy categories are not only equivalent as categories but as triangulated categories. Daniel Dugger and Brooke Shipley give an example in their paper. A curious example of triangulated-equivalent model categories which are not Quillen equivalent. available here. Web28 Dec 2024 · The natural tensor product operation on finite abelian categories is known as the Deligne tensor product or Deligne box product, introduced in ( Deligne 90 ). For A and B two abelian categories, their Deligne tensor product A \boxtimes B is the abelian category such that for any other abelian category C right exact functors of the form A ... paper mario ttyd disc

WebVarious authors classified the thick triangulated ⊗-subcategories of the category of compact objects for appropriate compactly generated tensor triangulated categories by using supports of objects. In this paper we introduce R-supports for ring objects, showing that these completely determine the thick triangulated ⊗-subcategories. Web1 Sep 2007 · The tensor triangulated categories considered in [1, 1.], [7, Appendix 8.A], [6], [4] satisfy the above conditions. 2. Two primary examples are the homotopy category of … WebCategory : Finite groups Languages : en Pages : 372. Download Book. Book Description. Representation Theory I. Proceedings of the Fourth International Conference on Representations of Algebras, held in Ottawa, Canada, August 16-25, 1984 PDF Download Are you looking for read ebook online? Search for your book and save it on your Kindle device ... おかえりモネネタバレ

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Web26 Apr 2024 · tensor triangulated category. derived category. t-structure, Bridgeland stability condition. suspended category, n-angulated category. Bousfield lattice, thick … WebIn this talk, I will give an introduction to factorization homology and equivariant factorization homology. I will then discuss joint work with Asaf Horev and Foling Zou, with an paper mario ttyd iso europeWeb4 Feb 2024 · For any essentially small, rigid and idempotent-complete tensor triangulated (TT for short) category $\mathcal{T}$ Balmer (The spectrum of prime ideals in tensor triangulated categories) constructs a locally ringed topological space Spec($\mathcal{T}$). おかえりもね

"Webtriangulated categories, and a complete description of the spectrum is equivalent to a classiﬁcation of the thick -ideals in the category. For the remainder of the introduction, we assume K is tensor-triangulated and nice (say, Spc.K/is noetherian or K satisﬁes Krull–Schmidt). If A is a separable ring in K, the Eilenberg–Moore category ... " - Tensor triangulated category

Tensor triangulated category

Tensor Triangular Geometry with Applications to Classical Lie …

Weba "triangulated category of triangulated functors between triangulated categories" or a tensor product. Problems arise essentially from the failure of functoriality of mapping cones. The solution to this issue is to consider enhancements of triangulated categories: namely, viewing them as shadows

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WebOn the surjectivity of the map of spectra associated to a tensor-triangulated functor. Bull. Lond. Math. Soc. 50 (3):487-495, 2024, DOI 10.1112/blms.12158, zbl 1436.18010, MR3829735, arxiv 1706.03291. [Balmer and Favi (2011)]. P. Balmer and G. Favi. Generalized tensor idempotents and the telescope conjecture. Proc. Web9 Dec 2024 · For specific tensor-triangulated categories, by associating each of them with a spectral space(the Balmer spectrum), the so-called tt-classification and, further, tt-geometry will be introduced. To be more specific, there will be a classification theorem that establishes a one-one correspondence between a class of subcategories of the tensor …

Web19 Aug 2024 · Here, a thick tensor ideal of a tensor triangulated category is a non-empty full subcategory closed under retracts, shifts, cones, and tensoring with any object in the … Webcategory K of such objects, and We regard two objects as equivalent if they can be built from each other using the tensor-triangulated structure of the stable category. Technically, this amounts to a classi cation of the thick triangulated tensor-ideal subcategories (\thick -ideals") of K X;Y 2K are equivalent i hXi= hYi

WebWe have the functor # (see II, x2.5) on the category of triangulated tensor categories, where A# is the pseudo-abelian hull of a category A. Applying (7.2.5) again, it su ces to show that, if Ais a tensor category having a duality involution ( )D, if Ais an object of A, and if Bis the summand of Ain A# corresponding to an idempotent endomorphism WebStack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange

Web11 Apr 2024 · We compare the homological support and tensor triangular support for ‘big’ objects in a rigidly-compactly generated tensor triangulated category. We prove that the comparison map from the ...

Web19 Apr 2024 · [Submitted on 19 Apr 2024] Noncommutative tensor triangulated categories and coherent frames Vivek Mohan Mallick, Samarpita Ray We develop a point-free … おかえりモネ 81話動画Web26 Sep 2014 · Since {\underline {\sf {CM}} k (G\propto\mathcal {P})} is also tensor triangulated, we compute its spectrum as well. These spectra are used to classify tensor … paper mario ttyd glitzvilleWebCategory : Representations of algebras Publisher : Springer Science & Business Media ... a Computational Approach.- 5 Problems in the Calculation of Group Cohomology.- 6 On a Tensor Category for the Exceptional Lie Groups.- 7 Non-Commutative Gröbner Bases and Anick's Resolution.- 8 A new Existence Proof of Janko's Simple Group J4.- 9 The ... paper mario ttyd musicWeb28 Jun 2024 · The tensor structure is the one we have met before, through monoidal categories, but the triangulated structure we have not yet explored in our mathematical endeavors on this blog. So, lets change that fact. To justify it’s name, triangulated … paper mario ttyd pro modeWebvector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group ... part, presenting the triangulated category of motives. Finally, the comparison with higher Chow groups is developed in part five. The lecture notes format is おかえりモネ 83話動画Web2 Sep 2014 · We show that in an essentially small rigid tensor triangulated category with connected Balmer spectrum there are no proper non‐zero thick tensor ideals admitting strong generators. This proves, for instance, that the category of perfect complexes over a commutative ring without non‐trivial idempotents has no proper non‐zero thick … paper mario ttyd save editorWebLet be a field of characteristic and let be a finite group or group scheme. We show that the negative Tate cohomology ring can be realized as the endomorphism ring of the trivial module in a Verdier localization of… おかえりモネおばあちゃん津波

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Tensor triangulated category

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