Multiplicative properties of dual canonical bases of quantum groups

DOI10.1006/jabr.1998.7570zbMath0917.17008OpenAlexW2088857933MaRDI QIDQ1279816

Markus Reineke

Publication date: 2 August 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7570

zbMATH Keywords

quantized enveloping algebraHall algebraquantum minorquasi-commuting multiplicative representations of quivers

Mathematics Subject Classification ID

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

Related Items

The bar automorphism in quantum groups and geometry of quiver representations, Rational smoothness of varieties of representations for quivers of Dynkin type., Quasi-commuting families of quantum minors, The exponential nature and positivity, Unnamed Item, Cylindric versions of specialised Macdonald functions and a deformed Verlinde algebra, Quantum unipotent subgroup and dual canonical basis, PBW-type filtration on quantum groups of type \(A_{n}\), Dual canonical bases for the quantum special linear group and invariant subalgebras, Cluster structures on quantum coordinate rings, Semicanonical bases and preprojective algebras, Extension-orthogonal components of preprojective varieties, Unnamed Item, Imaginary vectors in the dual canonical basis of \(U_q({\mathfrak n})\), On harmonic elements for semi-simple Lie algebras, Toric degenerations of Schubert varieties

Cites Work

• Tame algebras and integral quadratic forms
• On the coloured graph structure of Lusztig's canonical basis
• On degenerations and extensions of finite dimensional modules
• Parametrizations of canonical bases and totally positive matrices
• Canonical Bases Arising from Quantized Enveloping Algebras
• Degenerations for representations of quivers with relations
• Introduction to quantum groups
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