Polytopes associated to Demazure modules of symmetrizable Kac-Moody algebras of rank two
From MaRDI portal
Publication:1570866
DOI10.1006/jabr.1999.8208zbMath0973.17033OpenAlexW1993844895MaRDI QIDQ1570866
Publication date: 28 November 2001
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1999.8208
polytopesSchubert varietyaffine Kac-Moody algebraDemazure moduleweight multiplicitiesflat deformationLakshmibai-Seshadri pathsfundamental weightintegral dominant weight
Related Items
Degeneration of Schubert varieties of \(SL_n\slash B\) to toric varieties ⋮ Toric degenerations of Schubert varieties
Cites Work
- A plactic algebra for semisimple Lie algebras
- Tensor product multiplicities and convex polytopes in partition space
- Schubert varieties and Demazure's character formula
- Frobenius splitting and cohomology vanishing for Schubert varieties
- Standard monomial theory for \(G_ 2\)
- Geometry of G/P. V
- Demazure character formula in arbitrary Kac-Moody setting
- Cones, crystals, and patterns
- Combinatorial results on Demazure modules
- A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
- Degenerations of flag and Schubert varieties to toric varieties
- Lattice polytopes associated to certain Demazure modules of \(sl_{n+1}\)
- Multi-cones over Schubert varieties
- Paths and root operators in representation theory
- Résultats combinatoires sur les modules de Demazure
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
