Tensor product varieties and crystals: The \(ADE\) case.

DOI10.1215/S0012-7094-03-11634-8zbMath1048.20029arXivmath/0103025MaRDI QIDQ1395922

Anton Malkin

Publication date: 22 September 2003

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

Full work available at URL: https://arxiv.org/abs/math/0103025

zbMATH Keywords

crystalsmultiplicity varietiestensor product varieties

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items

On two geometric constructions of \(U(\mathfrak {sl}_n)\) and its representations, Coherent sheaves on quiver varieties and categorification, Cherednik algebras, \(W\)-algebras and the equivariant cohomology of the moduli space of instantons on \(\mathbb A^2\), Geometry of canonical bases and mirror symmetry, The tensor product of representations of \(U_q(\mathfrak{sl}_2)\) via quivers, Tensor product varieties, perverse sheaves, and stability conditions, Categorification of integrable representations of quantum groups, Tensor product varieties and crystals: $GL$ case, Crystals, quiver varieties, and coboundary categories for Kac-Moody algebras

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