Mirković-Vilonen cycles and polytopes for a symmetric pair

DOI10.1090/S1088-4165-09-00341-0zbMath1188.20044arXiv0711.0070OpenAlexW1971200860MaRDI QIDQ3614525

Jiuzu Hong

Publication date: 9 March 2009

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.0070

zbMATH Keywords

irreducible representationssymmetric pairssimple algebraic groupsMirković-Vilonen cyclesMirković-Vilonen polytopesspherical perverse sheavestwining character formula

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Classical groups (algebro-geometric aspects) (14L35) Cohomology theory for linear algebraic groups (20G10)

Related Items (9)

Dualities for root systems with automorphisms and applications to non-split groups ⋮ Double MV cycles and the Naito-Sagaki-Saito crystal. ⋮ Tensor invariants, saturation problems, and Dynkin automorphisms. ⋮ Polytopal estimate of Mirković-Vilonen polytopes lying in a Demazure crystal ⋮ Unnamed Item ⋮ Mirković-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal ⋮ Fusion rings revisited ⋮ Conformal blocks, Verlinde formula and diagram automorphisms ⋮ An insight into the description of the crystal structure for Mirković-Vilonen polytopes

Cites Work

• A modification of the Anderson-Mirković conjecture for Mirković-Vilonen polytopes in types \(B\) and \(C\)
• A polytope calculus for semisimple groups.
• Geometric Langlands duality and representations of algebraic groups over commutative rings
• Endomorphisms of linear algebraic groups
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