Semi-infinite highest weight categories

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WebAug 24, 2024 · We develop the axiomatics of highest weight (and various more general stratified) categories, in order to incorporate two "semi-infinite" situations which are in … WebTour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site

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WebBook: Semi-Infinite highest weight categories (jt. with J. Brundan), to appear in Memoirs of the AMS pdf Higher level affine Schur and Hecke algebras (jt. with Maksimau, Ruslan) J. Pure Appl. Algebra 225 (2024), no. 8, 106442, Motivic Springer theory (jt. with J. Eberhardt), to appear in Springer Memorial volume pdf 2024 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 public shareholder 股东

Mathematisches Institut der Universität Bonn

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., ). WebJul 14, 2016 · Semi-infinite highest weight categories Preprint Aug 2024 Jonathan Brundan Catharina Stroppel View Show abstract Tensor ideals, Deligne categories and invariant theory Full-text available... Web. We deﬁne admissible and weakly admissible subcategories in exact categories and prove that the former induce semi-orthogonal decompositions on the derived categories. We develop the theory of thin exact categories, an exact-category analogue of triangulated categories generated by exceptional collections. The right and left abelian envelopes of … public shareholding means

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WebAug 24, 2024 · Semi-infinite highest weight categories. We develop axiomatics of highest weight categories and quasi-hereditary algebras in order to incorporate two semi-infinite … WebSep 1, 2024 · Semi-infinite highest weight categories; View more references. Cited by (6) Cellularity of endomorphism algebras of tilting objects. 2024, Advances in Mathematics. Show abstract. We show that, in a highest weight category with duality, the endomorphism algebra of a tilting object is naturally a cellular algebra. Our proof ... publicsher是什么WebHighest weight categories were introduced by Cline, Parshall and Scott [CPS1] in order to provide an axiomatic framework encompassing a number of important examples which … public shawnee court public access

"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. " - Semi-infinite highest weight categories

Semi-infinite highest weight categories

WebAnswer: In case of infinite plate we assume that all sides have infinite dimensions (so there's no influence of stress state from boundaries on stress around a hole as in usual … WebJan 1, 2024 · Semi-infinite highest weight categories (2024) Carter R. Finite Groups of Lie Type: Conjugacy Classes and Complex Characters (1993) Chriss N. et al. Representation Theory and Complex Geometry (2010) Cisinski D.-C. et al. Triangulated Categories of Mixed Motives, Springer Monographs in Mathematics (2024)

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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 … WebAug 5, 2024 · A theory of highest weight modules over an arbitrary finite-dimensional Lie superalgebra is constructed. A necessary and sufficient condition for the finite-dimensionality of such modules is proved.

WebAug 24, 2024 · We develop the axiomatics of highest weight (and various more general stratified) categories, 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 discuss several well-known examples which fit into our setup. Submission history WebMany interesting algebras and categories appears to possess what we call the \highest weight theory", which should motivate us to study HWC and qh algebras. (1)(The regular blocks of) BGG category O= O(g) of complex semisimple Lie algebra g. (2)Parabolic analogue of category O, often denote by Op where p is a parabolic subalgebra of g;

WebAug 24, 2024 · Semi-infinite highest weight categories. We develop axiomatics of highest weight categories and quasi-hereditary algebras in order to incorporate two semi-infinite …

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WebPublished by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics. ... J. Brundan and C. Stroppel, Semi-infinite highest weight categories, 2024. URL: arXiv:1808.08022. public shareholding company in uaeTitle: Discrete pre-Tannakian categories Authors: Nate Harman, Andrew Snowden. … public sharepoint sitesWebHighest 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 ... public shellfish mapperWebJul 1, 2003 · The standard A W -modules go, under this equivalence, to certain modules arising in Kazhdan-Lusztig theory of “cells”, provided W is a Weyl group and the Hecke algebra ℋ W has equal parameters. We prove that the category 𝒪 is equivalent to the module category over a finite dimensional algebra, a generalized “q-Schur algebra” associated to W. public sharkWebDec 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 public shell company for saleWebwarm-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]. public shipbuilding companiesWebAug 24, 2024 · Semi-infinite highest weight categories Jonathan Brundan, Catharina Stroppel We 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. public shipping