Tropical R maps and affine geometric crystals
From MaRDI portal
Publication:3068945
DOI10.1090/S1088-4165-2010-00379-9zbMath1220.17006arXiv0808.2411OpenAlexW2964146846MaRDI QIDQ3068945
Toshiki Nakashima, Masato Okado, Masaki Kashiwara
Publication date: 21 January 2011
Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0808.2411
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Grassmannians, Schubert varieties, flag manifolds (14M15) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)
Related Items
Affine geometric crystals in unipotent loop groups, Toric networks, geometric \(R\)-matrices and generalized discrete Toda lattices, Plabic R-matrices, Decorations on geometric crystals and monomial realizations of crystal bases for classical groups, Discrete dynamics in cluster integrable systems from geometric \(R\)-matrix transformations, Crystals and total positivity on orientable surfaces, Kirillov-Reshetikhin crystals \(B^{1, s}\) for \(\widehat{\mathfrak{s}\mathfrak{l}}_n\) using Nakajima monomials, Half potential on geometric crystals and connectedness of cellular crystals, On the cluster nature and quantization of geometric \(R\)-matrices, The geometric \(R\)-matrix for affine crystals of type \(A\), Plabic \(R\)-matrices, Affine type \(A\) geometric crystal on the Grassmannian
Cites Work
- Geometric crystals on Schubert varieties
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Perfect crystals of quantum affine Lie algebras
- Crystals for Demazure modules of classical affine Lie algebras
- On level-zero representation of quantized affine algebras.
- Level zero fundamental representations over quantized affine algebras and Demazure modules
- Geometric crystals on unipotent groups and generalized Young tableaux
- Affine geometric crystals and limit of perfect crystals
- AFFINE CRYSTALS AND VERTEX MODELS
- Infinite flag varieties and conjugacy theorems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item