Three kinds of extremal weight vectors fixed by a diagram automorphism
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Publication:1409756
DOI10.1016/S0021-8693(03)00347-8zbMath1030.17004MaRDI QIDQ1409756
Publication date: 22 October 2003
Published in: Journal of Algebra (Search for Journal in Brave)
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)
Related Items (4)
Small toric resolutions of toric varieties of string polytopes with small indices ⋮ Structural folding and multi-highest-weight subcrystals of \(B(\infty)\) ⋮ A rationalization of the crystal \(\mathbb Z^{\infty}\) and a diagram automorphism. ⋮ Crystal base elements of an extremal weight module fixed by a diagram automorphism
Cites Work
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- Standard paths and standard monomials fixed by a diagram automorphism
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- Crystal bases, path models, and a twining character formula for Demazure modules
- Paths and root operators in representation theory
- From Dynkin diagram symmetries to fixed point structures
- Canonical bases in tensor products.
- Lakshmibai-Seshadri paths fixed by a diagram automorphism.
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