Geometric crystals on flag varieties and unipotent subgroups of classical groups
Copyright policy )Geometric crystals on flag varieties and unipotent subgroups of classical groups
For a classical simple algebraic group $G$ we obtain the affirmative answer for the conjecture in [8] that there exists an isomorphism between the geometric crystal on the flag variety and the one on the unipotent subgroup $U^-$.
Latex, 21pages
- Sophia University Japan
unipotent crystal, flag variety, Quantum groups (quantized enveloping algebras) and related deformations, Grassmannians, Schubert varieties, flag manifolds, unipotent subgroup, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, geometric crystal, Mathematics - Quantum Algebra, FOS: Mathematics, 17B37, 17B67, 46E25, Quantum Algebra (math.QA), Representation Theory (math.RT), Mathematics - Representation Theory
unipotent crystal, flag variety, Quantum groups (quantized enveloping algebras) and related deformations, Grassmannians, Schubert varieties, flag manifolds, unipotent subgroup, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, geometric crystal, Mathematics - Quantum Algebra, FOS: Mathematics, 17B37, 17B67, 46E25, Quantum Algebra (math.QA), Representation Theory (math.RT), Mathematics - Representation Theory
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