More tight monomials in quantized enveloping algebras

DOI10.1006/jabr.1997.7370zbMath0912.17007OpenAlexW2121345434WikidataQ56285891 ScholiaQ56285891MaRDI QIDQ1270976

Bethany R. Marsh

Publication date: 26 May 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7370

zbMATH Keywords

quantum groupquadratic formquantized enveloping algebratight monomial

Mathematics Subject Classification ID

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

Related Items (15)

On the spanning vectors of Lusztig cones ⋮ Tightness of certain monomials ⋮ Tight monomials for quantum enveloping algebras of rank-2 Kac-Moody Lie algebras ⋮ Tight monomials and the monomial basis property ⋮ Canonical basis linearity regions arising from quiver representations. ⋮ Monomials in canonical bases of quantum groups and quadratic forms ⋮ Tight monomials for type \(B_3\) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The Lusztig cones of a quantized enveloping algebra of type A. ⋮ Tight Monomials for TypeG₂andA₃ ⋮ Canonical basis for type \(A_4\). I: Monomial elements. ⋮ Regions of linearity, Lusztig cones, and canonical basis elements for the quantized enveloping algebra of type \(A_4\) ⋮ Rectangle diagrams for the Lusztig cones of quantized enveloping algebras of type \(A\). ⋮ Polynomial Elements in Canonical Basis B with Two-dimensional Support for Type A₄ (I)

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Criteria for copositive matrices
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• On classes of copositive matrices
• Canonical Bases Arising from Quantized Enveloping Algebras
• Introduction to quantum groups
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