Graded quantum cluster algebras and an application to quantum Grassmannians
From MaRDI portal
Publication:2922880
DOI10.1112/plms/pdu018zbMath1315.13036arXiv1301.2133OpenAlexW2164576134MaRDI QIDQ2922880
Jan E. Grabowski, Stephane Launois
Publication date: 15 October 2014
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.2133
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups (quantized function algebras) and their representations (20G42) Cluster algebras (13F60)
Related Items (14)
Graded quantum cluster algebras of infinite rank as colimits ⋮ Categorification and the quantum Grassmannian ⋮ Quantum cluster algebras and their specializations ⋮ Quasi-homomorphisms of quantum cluster algebras ⋮ Graded cluster algebras arising from marked surfaces ⋮ A Borel-Weil theorem for the quantum Grassmannians ⋮ Graded cluster algebras ⋮ QUANTISATION SPACES OF CLUSTER ALGEBRAS ⋮ Connected quantized Weyl algebras and quantum cluster algebras ⋮ A quantum cluster algebra approach to representations of simply laced quantum affine algebras ⋮ An expansion formula for type \(A\) and Kronecker quantum cluster algebras ⋮ Weak separation and plabic graphs ⋮ The Berenstein-Zelevinsky quantum cluster algebra conjecture ⋮ Classification of graded cluster algebras generated by rank 3 quivers
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- From quantum Ore extensions to quantum tori via noncommutative UFDs
- Tensor diagrams and cluster algebras
- Kac-Moody groups and cluster algebras
- Quantum graded algebras with a straightening law and the AS-Cohen-Macaulay property for quantum determinantal rings and quantum Grassmannians.
- Prime ideals in the quantum Grassmannian.
- Partial flag varieties and preprojective algebras.
- The AS-Cohen-Macaulay property for quantum flag manifolds of minuscule weight
- Quantization of projective homogeneous spaces and duality principle.
- Quantum deformation of the Grassmannian manifold
- Lectures on algebraic quantum groups
- Cluster algebras. III: Upper bounds and double Bruhat cells.
- Cluster structures on quantum coordinate rings
- Quantum cluster algebras.
- Cluster algebras I: Foundations
- Quantum Cluster Algebra Structures on Quantum Grassmannians and their Quantum Schubert Cells: The Finite-type Cases
- Cluster algebras, quiver representations and triangulated categories
- Admissible diagrams in quantum nilpotent algebras and combinatoric properties of Weyl groups
- GRASSMANNIANS AND CLUSTER ALGEBRAS
- Cyclic orders on the quantum grassmannian
- A classification of 𝐻-primes of quantum partial flag varieties
- Invariant prime ideals in quantizations of nilpotent Lie algebras
- Double Bruhat cells and total positivity
- RING THEORETIC PROPERTIES OF QUANTUM GRASSMANNIANS
- Semicanonical bases and preprojective algebras
- Introduction to quantum groups
This page was built for publication: Graded quantum cluster algebras and an application to quantum Grassmannians
