Crystal bases and combinatorics of infinite rank quantum groups

DOI10.1090/S0002-9947-08-04480-2zbMath1190.17008arXivmath/0604636OpenAlexW1971633372MaRDI QIDQ3600640

Cédric Lecouvey

Publication date: 5 February 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604636

zbMATH Keywords

quantum groupsplactic algebraCrystal bases

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (6)

Crystal monoids \& crystal bases: rewriting systems and biautomatic structures for plactic monoids of types \(A_{n}\), \(B_{n}\), \(C_{n}\), \(D_{n}\), and \(G_{2}\) ⋮ Combinatorial extension of stable branching rules for classical groups ⋮ Duality and bicrystals on infinite binary matrices ⋮ Crystal isomorphisms for irreducible highest weight \(\mathcal{U}_{v}(\widehat{\mathfrak{sl}}_{e})\)-modules of higher level ⋮ Demazure crystals of generalized Verma modules and a flagged RSK correspondence ⋮ Tensor product multiplicities for crystal bases of extremal weight modules over quantum infinite rank affine algebras of types $B_{∞}$, $C_{∞}$, and $D_{∞}$

Cites Work

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