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Semi-infinite highest weight categories

WebSep 1, 2024 · The Grothendieck group K 0 (B-mod Δ) will be used to categorify the integrable highest weight sl K-module V (ϖ δ 0 − 1 2) with the fundamental weight ϖ δ 0 − 1 2 as its … WebNov 15, 2024 · Most highest weight categories in nature exhibit some finiteness. We say a highest weight category is finite if it is of the above module category type. In [3] a …

On minimal tilting complexes in highest weight categories

Title: Discrete pre-Tannakian categories Authors: Nate Harman, Andrew Snowden. … WebDec 1, 2024 · Semi-infinite highest weight categories 2024, arXiv Recommended articles (6) Research article Reynolds algebras and their free objects from bracketed words and rooted trees Journal of Pure and Applied Algebra, Volume 225, Issue 12, 2024, Article 106766 Show abstract Research article Knutson ideals and determinantal ideals of Hankel matrices mmis ohp oregon https://eurekaferramenta.com

Seminar on highest weight categories and tilting theory

WebSemi-infinite highest weight categories - NASA/ADS We develop axiomatics of highest weight categories and quasi-hereditary algebras in order to incorporate two semi-infinite … WebHighest weight categories arising from algebraic groups University of Bielefeld, 20 and 27 April, 2009 ... reductive Lie algebras of positive characteristic and infinite-dimensional representations of complex semi-simple Lie algebras revealed reciprocity laws (Brauer reciprocity, Humphreys reciprocity, BGG reciprocity), which seemed to be based ... WebMar 24, 2024 · arXiv:1808.08022v1 [math.RT] 24 Aug 2024 SEMI-INFINITE HIGHEST WEIGHT CATEGORIES JONATHAN BRUNDAN AND CATHARINA STROPPEL Dedicated to Jens Carsten Jantzen on the occasion of his 7 initializing object in angular

Some homological properties of ind-completions and …

Category:Some homological properties of ind-completions and …

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Semi-infinite highest weight categories

[PDF] Semi-infinite highest weight categories Semantic …

WebNov 15, 2024 · Most highest weight categories in nature exhibit some finiteness. We say a highest weight category is finite if it is of the above module category type. In [3] a comprehensive study of 3 types of ‘semi infinite’ highest weight categories is undertaken: upper finite, essentially finite and lower finite highest weight categories. WebJul 25, 2024 · We explain the construction of minimal tilting complexes for objects of highest weight categories and we study in detail the minimal tilting complexes for …

Semi-infinite highest weight categories

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WebThe aim of this paper is to give a tensor product categorification of any integrable lowest weight with any integrable highest weight module of the same level for by using locally finite dimensional representations of cyclotomic oriented Brauer categories, where is a direct sum of copies of (resp., ) if (resp., ). WebSemi-infinite highest weight categories David Burns; Daniel Macias Castillo On refined conjectures of Birch and Swinnerton-Dyer type for Hasse-Weil-Artin L-series Nicolas Burq; …

Webwarm-up for the following three talks. Compare this notion to semi-infinite highest weight categories from [BS18]. 4.7 The BBG category O* The goal of this talk is to give an introduction to the Bernstein–Gelfand–Gelfand category Oand give a detailed explanation why this is an example of a standard category, as claimed in [BT22, Example 2.20]. WebJan 1, 2024 · As an application, we study representations of A associated to either cyclotomic Brauer categories or cyclotomic Kauffman categories in details, including explicit criteria on the...

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WebSEMI-INFINITE INDUCTION AND WAKIMOTO MODULES By Alexander A. Voronov Abstract. The purpose of this paper is to suggest the construction and study properties of semi … mmis number pharmacyWebJun 21, 2013 · We develop a reduction procedure which provides an equivalence (as highest weight categories) from an arbitrary block (defined in terms of the central character and the integral Weyl group) of the BGG category $${\\mathcal{O}}$$ O for a general linear Lie superalgebra to an integral block of $${\\mathcal{O}}$$ O for (possibly a direct sum of) … mmis ny stateWebWe develop axiomatics of highest weight categories and quasi-hereditary algebras in order to incorporate two semi-infinite situations which are in Ringel duality with each other; the underlying posets are either upper finite or lower finite. We also consider various more general sorts of signed highest weight categories and stratified categories. initializing numpy array as zero