On Demazure crystals for $U_{q}(G_{2}^{(1)})$
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Publication:5200159
DOI10.1090/S0002-9939-2010-10663-9zbMath1278.17018OpenAlexW1540415609WikidataQ57435541 ScholiaQ57435541MaRDI QIDQ5200159
Kailash C. Misra, Rebecca L. Jayne
Publication date: 1 August 2011
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10663-9
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)
Cites Work
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- Kirillov-Reshetikhin crystals for nonexceptional types
- Zero action on perfect crystals for \(U_q(G_2^{(1)})\)
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- Perfect crystals of quantum affine Lie algebras
- Demazure modules and perfect crystals
- Crystals for Demazure modules of classical affine Lie algebras
- Perfect crystals of \(U_q(G_2^{(1)})\)
- The crystal base and Littelmann's refined Demazure character formula
- Perfect crystals for \(U_q(D_4^{(3)})\)
- Crystalizing the q-analogue of universal enveloping algebras
- Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types
- Level 1 perfect crystals and path realizations of basic representations at q = 0
- Canonical Bases Arising from Quantized Enveloping Algebras
- AFFINE CRYSTALS AND VERTEX MODELS
- Introduction to quantum groups
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