An algebraic-geometric parametrization of the canonical basis

DOI10.1006/aima.1996.0036zbMath0877.17006OpenAlexW1988799933MaRDI QIDQ1921272

George Lusztig

Publication date: 8 December 1997

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1996.0036

zbMATH Keywords

Cartan matrixquantum groupsquantized enveloping algebraalgebraic groupcanonical basistotally positive elements

Mathematics Subject Classification ID

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

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Shadows in the wild - folded galleries and their applications ⋮ Metaplectic Whittaker functions and crystal bases ⋮ Geometry of canonical bases and mirror symmetry ⋮ Mirković-Vilonen cycles and polytopes. ⋮ LS galleries, the path model, and MV cycles ⋮ On Mirković-Vilonen cycles and crystal combinatorics ⋮ Visual Basic Representations ⋮ Crystals via the affine Grassmannian

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