Semi-Infinite Highest Weight Categories (Q6201449)

scientific article; zbMATH DE number 7807561

Language	Label	Description	Also known as
English	Semi-Infinite Highest Weight Categories	scientific article; zbMATH DE number 7807561

Statements

instance of

scholarly article

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title

Semi-Infinite Highest Weight Categories (English)

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20 February 2024

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full work available at URL

https://arxiv.org/abs/1808.08022

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zbMATH Keywords

highest weight categories

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stratified algebras

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Ringel duality

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based quasi-hereditary algebras

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Standardly stratified algebras and tilting

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Tilting modules and cellular categories

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Q4296997

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Cellular structures using $U_q$-tilting modules

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Diagram categories for $\mathrm{U}_q$-tilting modules at roots of unity

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On the restricted Verma modules at the critical level

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The linkage principle for restricted critical level representations of affine Kac–Moody algebras

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Q4365981

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Translation functors and decomposition numbers for the periplectic Lie superalgebra $\mathfrak{p}(n)$

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A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs

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Homological and homotopical aspects of torsion theories

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Highest weight theory for finite-dimensional graded algebras with triangular decomposition

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On Koszul duality for Kac-Moody groups.

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Categorification and Higher Representation Theory

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Type C blocks of super category $\mathcal{O}$

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Tensor Product Categorifications and the Super Kazhdan–Lusztig Conjecture

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Heisenberg and Kac-Moody categorification

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Highest weight categories arising from Khovanov's diagram algebra. IV: The general linear supergroup

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Gradings on walled Brauer algebras and Khovanov's arc algebra

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On Good Filtration Dimensions for Standardly Stratified Algebras

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Q5702549

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The Primitive Spectrum and Category for the Periplectic Lie Superalgebra

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Q3804882

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Quasisymmetric distortion and rigidity of expanding endomorphisms of $S^1$

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Tensor ideals, Deligne categories and invariant theory

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The classification of blocks in BGG category $\mathcal{O}$

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Some homological properties of ind-completions and highest weight categories

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Monoidal abelian envelopes

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Borelic pairs for stratified algebras

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On properly stratified Gorenstein algebras

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Hodge cycles, motives, and Shimura varieties

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Structure of some categories of representations of infinite-dimensional Lie algebras

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Q4338466

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Properly stratified algebras

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Q4028607

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Rational representations of algebraic groups: Tensor products and filtrations

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On Schur algebras and related algebras. I

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On tilting modules for algebraic groups

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Q4223578

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Based algebras and standard bases for quasi-hereditary algebras

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On the category of finite-dimensional representations of $\OSPrn$: Part I

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Trace decategorification of the Hecke category

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Soergel calculus

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Categorical actions and multiplicities in the Deligne category $\underline{Rep}(G L_t)$

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Deligne Categories and the Limit of Categories Rep(GL(m|n))

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On the global and $\nabla$-filtration dimensions of quasi-hereditary algebras.

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Tensor Categories

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Centers and translation functors for the category ${\mathcal O}$ over Kac-Moody algebras

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The combinatorics of category ${\mathcal O}$ over symmetrizable Kac-Moody algebras

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On the Subgeneric Restricted Blocks of Affine Category $\mathcal{O}$ at the Critical Level

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Localization of $\mathfrak g$-modules on the affine Grassmannian

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A categorification of finite-dimensional irreducible representations of quantum ${\mathfrak{sl}_2}$ and their tensor products

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Dlab's theorem and tilting modules for stratified algebras.

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TYPICAL BLOCKS OF THE CATEGORY $\mathcal{O}$ FOR THE QUEER LIE SUPERALGEBRA

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PROPERLY STRATIFIED ALGEBRAS AND TILTING

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Des catégories abéliennes

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Representations of weakly triangular categories

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The Temperley-Lieb algebra at roots of unity

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Cellular algebras

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Combinatorics and the Schur algebra

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Q5493443

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Q3994341

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Modules of finite projective dimension and cocovers

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Q3800267

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Über das Dekompositionsverhalten gewisser modularer Darstellungen halbeinfacher Gruppen und ihrer Lie-Algebren

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Brauer-type reciprocity for a class of graded associative algebras

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Q3693672

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Structure of representations with highest weight of infinite-dimensional Lie algebras

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Categories and Sheaves

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Q3419548

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Affine highest weight categories and affine quasihereditary algebras

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Based quasi-hereditary algebras

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Affine cellular algebras.

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Kac-Moody groups, their flag varieties and representation theory

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On uniqueness of tensor products of irreducible categorifications

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Hecke algebras and Jantzen's generic decomposition patterns

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Q4215784

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Quasi-hereditary algebras and the category of modules with standard filtration

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Pseudocompact algebras and highest weight categories

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Filtrations of $G$-modules

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Q4466521

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KOSZUL DUALITY FOR STRATIFIED ALGEBRAS II. STANDARDLY STRATIFIED ALGEBRAS

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Finitistic dimension of properly stratified algebras.

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On the Relation Between Finitistic and Good Filtration Dimensions

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Categorification of (induced) cell modules and the rough structure of generalised Verma modules

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Rings with several objects

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Q3507167

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Translation to and fro over Kac-Moody algebras

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$ \infty $-tilting theory

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Tilting modules and the p-canonical basis

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Equivalences of derived categories for symmetric algebras.

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The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences

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Representations of Brauer category and categorification

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The representation theory of Brauer categories. I: triangular categories

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Koszul duality of affine Kac-Moody algebras and cyclotomic rational double affine Hecke algebras

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Coalgebras, comodules, pseudocompact algebras and tame comodule type.

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Character formulas for tilting modules over Kac-Moody algebras

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Q4165487

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On modules with trivial self-extensions

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Sheaf cohomology on G/B and tensor products of Weyl modules

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Canonical bases and higher representation theory

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Knot invariants and higher representation theory

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Q4296949

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Invariant tensors and cellular categories.

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Q5063030

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published in

Memoirs of the American Mathematical Society

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Identifiers

arXiv ID

1808.08022

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6201449