Highest weight theory for finite-dimensional graded algebras with triangular decomposition
From MaRDI portal
Publication:1644969
DOI10.1016/j.aim.2018.03.011zbMath1464.16042arXiv1705.08024OpenAlexW2963769606MaRDI QIDQ1644969
Publication date: 22 June 2018
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.08024
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35) Graded rings and modules (associative rings and algebras) (16W50) Modular Lie (super)algebras (17B50) Representation theory of associative rings and algebras (16G99)
Related Items
Mini-workshop: Non-semisimple tensor categories and their semisimplification. Abstracts from the mini-workshop held February 7--13, 2021 (online meeting), Wreath Macdonald polynomials at đ=đĄ as characters of rational Cherednik algebras, Suzuki functor at the critical level, Cellularity of endomorphism algebras of tilting objects, On projective modules over finite quantum groups, The rank-one property for free Frobenius extensions, Simple modules of small quantum groups at dihedral groups, Semi-Infinite Highest Weight Categories, On the representation theory of the Drinfeld double of the Fomin-Kirillov algebra \(\mathcal{FK}_3 \), Relative cellular algebras, Cherednik algebra for the normalizer, On Hopf algebras with triangular decomposition, The representation theory of Brauer categories. I: triangular categories
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Endomorphisms of Verma modules for rational Cherednik algebras
- Quantum groups at roots of 1
- Homology of Noetherian rings and local rings
- Krull-Schmidt categories and projective covers
- Graded Artin algebras
- Representation theory of graded Artin algebras
- Brauer-type reciprocity for a class of graded associative algebras
- Tensor products of quantized tilting modules
- Ăber Darstellungen höherer Frobenius-Kerne halbeinfacher algebraischer Gruppen
- Abstract Kazhdan-Lusztig theories
- On tilting modules for algebraic groups
- Methods of graded rings.
- On the category \(\mathcal O\) for rational Cherednik algebras.
- The factorization problem and the smash biproduct of algebras and coalgebras
- Modular representations of reductive Lie algebras
- Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
- Cellular algebras
- Macdonald polynomials as characters of Cherednik algebra modules
- The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
- On uniqueness of tensor products of irreducible categorifications
- Cherednik, Hecke and quantum algebras as free Frobenius and Calabi-Yau extensions
- Cuspidal Calogero-Moser and Lusztig families for Coxeter groups
- Filtrations on G 1 T -Modules
- Counting resolutions of symplectic quotient singularities
- On Injective Modules and Support Varieties for the Small Quantum Group
- On singular Calogero-Moser spaces
- A set of generators for $\mathrm{Ext}_R(k,k)$.
- Symmetry for Finite Dimensional Hopf Algebras
- Based algebras and standard bases for quasi-hereditary algebras
- BABY VERMA MODULES FOR RATIONAL CHEREDNIK ALGEBRAS
- Hyperplane arrangements associated to symplectic quotient singularities
- Rigidity of tilting modules
- REPRESENTATION TYPE OF FROBENIUS-LUSZTIG KERNELS
- ON THE SMOOTHNESS OF CENTRES OF RATIONAL CHEREDNIK ALGEBRAS IN POSITIVE CHARACTERISTIC
- Des catégories abéliennes
- Stratifying endomorphism algebras
- AlgĂšbre
- Reflection groups and invariant theory
