Abstract
Let \( {\mathcal{N}_{\mathfrak{g}*}} \) be the variety of nilpotent elements in the dual of the Lie algebra of a reductive algebraic group over an algebraically closed field. In [L4] Lusztig proposes a definition of a partition of \( {\mathcal{N}_{\mathfrak{g}*}} \) into smooth locally closed subvarieties (which are indexed by the unipotent classes in the corresponding group over complex numbers) and gives explicit results in types A, C and D. We discuss type B in this note.
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To George Lusztig on the occasion of his 65th birthday
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XUE, T. Nilpotent pieces in the dual of odd orthogonal lie algebras. Transformation Groups 17, 571–592 (2012). https://doi.org/10.1007/s00031-012-9172-y
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DOI: https://doi.org/10.1007/s00031-012-9172-y