Self-dual Grassmannian, Wronski map, and representations of \(\mathfrak{gl}_N\), \(\mathfrak{sp}_{2r}\), \(\mathfrak{so}_{2r+1}\)

DOI10.4310/PAMQ.2017.v13.n2.a4zbMath1437.17002arXiv1705.02048OpenAlexW2612476310MaRDI QIDQ1799530

Kang Lu, Alexander Varchenko, Evgenii E. Mukhin

Publication date: 19 October 2018

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02048

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Actions of groups on commutative rings; invariant theory (13A50) Lie algebras and Lie superalgebras (17B99) Stratified sets (58A35)

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On the Gaudin model of type G₂ ⋮ Perfect integrability and Gaudin models ⋮ Lower bounds for numbers of real self-dual spaces in problems of Schubert calculus ⋮ A topological proof of the Shapiro-Shapiro conjecture ⋮ Bethe ansatz equations for orthosymplectic Lie superalgebras and self-dual superspaces

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