DEGREE CONES AND MONOMIAL BASES OF LIE ALGEBRAS AND QUANTUM GROUPS

DOI10.1017/S0017089516000422zbMath1425.17017arXiv1605.00417OpenAlexW2963217972WikidataQ115336593 ScholiaQ115336593MaRDI QIDQ5369111

Teodor Backhaus, Xin Fang, Ghislain Fourier

Publication date: 13 October 2017

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00417

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (4)

PBW degenerations, quiver Grassmannians, and toric varieties ⋮ Essential bases and toric degenerations arising from birational sequences ⋮ Cones from quantum groups to tropical flag varieties ⋮ Exact structures and degeneration of Hall algebras

Uses Software

• polymake

Cites Work

• Unnamed Item
• Essential bases and toric degenerations arising from birational sequences
• PBW filtration and bases for irreducible modules in type \({\text{\textsf{A}}}_{n}\)
• Geometric mitosis
• Marked chain-order polytopes
• PBW-type filtration on quantum groups of type \(A_{n}\)
• Cones, crystals, and patterns
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Tensor product multiplicities, canonical and totally positive varieties
• The PBW filtration and convex polytopes in type B
• Essential signatures and canonical bases of irreducible representations of the group \(G_2\)
• Favourable modules: filtrations, polytopes, Newton-Okounkov bodies and flat degenerations
• Newton-Okounkov polytopes of flag varieties
• Linear degenerations of flag varieties
• PBW Filtration and Bases for Symplectic Lie Algebras
• PBW filtration: Feigin-Fourier-Littelmann modules via Hasse diagrams
• Canonical Bases Arising from Quantized Enveloping Algebras
• A Characterization of a Special Ordering in a Root System
• Introduction to quantum groups

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