Canonical basis for type \(A_4\). I: Monomial elements.

DOI10.1016/S0021-8693(03)00066-8zbMath1125.17309MaRDI QIDQ1812164

Yuwang Hu, Ye Jiachen, Xiao Qing Yue

Publication date: 18 June 2003

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Quantum groupGlobal crystal basisTight monomials

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items (8)

Canonical Bases of Modified Quantum Algebras for TypeA₂-monomial Elements ⋮ Canonical bases of modified quantum algebras for type A2 ⋮ Tightness of certain monomials ⋮ Tight monomials for quantum enveloping algebras of rank-2 Kac-Moody Lie algebras ⋮ Tight monomials for type \(B_3\) ⋮ Tight Monomials for TypeG₂andA₃ ⋮ Canonical Basis for TypeA₄(II)-Polynomial Elements in One Variable ⋮ Polynomial Elements in Canonical Basis B with Two-dimensional Support for Type A₄ (I)

Cites Work

• Unnamed Item
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• More tight monomials in quantized enveloping algebras
• Canonical basis for type \(B_2\)
• Regions of linearity, Lusztig cones, and canonical basis elements for the quantized enveloping algebra of type \(A_4\)
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• Canonical Bases Arising from Quantized Enveloping Algebras
• Canonical basis for typeA,₃

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