PBW parametrizations and generalized preprojective algebras
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Publication:2065950
DOI10.1016/j.aim.2021.108144OpenAlexW3103713729MaRDI QIDQ2065950
Publication date: 13 January 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.06524
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ring-theoretic aspects of quantum groups (16T20)
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Cites Work
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- Cluster structures on strata of flag varieties
- Affine Mirković-Vilonen polytopes
- \(c\)-vectors via \(\tau\)-tilting theory
- Metaplectic Whittaker functions and crystal bases
- Kac-Moody groups and cluster algebras
- Modules determined by their composition factors
- Framed quiver moduli, cohomology, and quantum groups
- Mirković-Vilonen cycles and polytopes.
- Tilting modules of finite projective dimension
- Model algebras and representations of graphs
- Almost split sequences in subcategories
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- PBW basis of quantized universal enveloping algebras
- Total positivity in Schubert varieties
- Geometric construction of crystal bases
- Semicanonical bases arising from enveloping algebras
- Pro-species of algebras. I: Basic properties
- On sign-coherence of \(c\)-vectors
- Wide subcategories are semistable
- Quivers with relations for symmetrizable Cartan matrices. IV: Crystal graphs and semicanonical functions
- Quiver varieties and Kac-Moody algebras
- Bricks over preprojective algebras and join-irreducible elements in Coxeter groups
- The Mirković-Vilonen basis and Duistermaat-Heckman measures
- On the module categories of generalized preprojective algebras of Dynkin type
- Rigid modules and Schur roots
- Tilting modules and support \(\tau \)-tilting modules over preprojective algebras associated with symmetrizable Cartan matrices
- On cohomological Hall algebras of quivers: generators
- Wall and chamber structure for finite-dimensional algebras
- Highest weights for truncated shifted Yangians and product monomial crystals
- The crystal structure on the set of Mirković-Vilonen polytopes
- Quivers with relations for symmetrizable Cartan matrices. I: Foundations
- Geometric Langlands duality and representations of algebraic groups over commutative rings
- Classifying \(\tau\)-tilting modules over preprojective algebras of Dynkin type
- Coulomb branches of quiver gauge theories with symmetrizers
- Parametrizations of Canonical Bases and Irreducible Components of Nilpotent Varieties
- Preprojective algebras and MV polytopes
- Combinatorics of Coxeter Groups
- Canonical bases for cluster algebras
- Cluster structures for 2-Calabi–Yau categories and unipotent groups
- Canonical Bases Arising from Quantized Enveloping Algebras
- Auslander-reiten sequences with few middle terms and applications to string algebrass
- Quiver varieties and finite dimensional representations of quantum affine algebras
- Quivers with relations for symmetrizable Cartan matrices V: Caldero-Chapoton formulas
- Quivers with Relations for Symmetrizable Cartan Matrices II: Change of Symmetrizers
- Irreducible components of varieties of modules
- Semibricks
- $\boldsymbol{\tau}$ -Tilting Finite Algebras, Bricks, and $\boldsymbol{g}$-Vectors
- Stable categories of Cohen-Macaulay modules and cluster categories: Dedicated to Ragnar-Olaf Buchweitz on the occasion of his sixtieth birthday
- Mirkovic-Vilonen polytopes and Khovanov-Lauda-Rouquier algebras
- -tilting theory
- On cluster theory and quantum dilogarithm identities
- Quivers with relations for symmetrizable Cartan matrices III: Convolution algebras
- Semicanonical bases and preprojective algebras
- Bruhat inversions in Weyl groups and torsion-free classes over preprojective algebras
