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Rigid representations of a double quiver of type A, and Richardson elements in seaweed Lie algebras


Reference:

Jensen, B. T., Su, X. and Yu, R. W. T., 2009. Rigid representations of a double quiver of type A, and Richardson elements in seaweed Lie algebras. Bulletin of the London Mathematical Society, 41 (1), pp. 1-15.

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http://dx.doi.org/10.1112/blms/bdn087

Abstract

In this paper, we show that there is always an open adjoint orbit in the nilpotent radical of a seaweed Lie algebra in gln(k), thus answering positively in this gln(k) case to a question raised independently by Michel Duflo and Dmitri Panyushev. The proof gives an explicit construction, using �-filtered modules of quasi-hereditary algebras arising from quotients of the double of quivers of type A. An example of a seaweed Lie algebra in a simple Lie algebra of type E8 not admitting an open orbit in its nilpotent radical is given.

Details

Item Type Articles
CreatorsJensen, B. T., Su, X. and Yu, R. W. T.
DOI10.1112/blms/bdn087
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code26981

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  • Rigid representations of a double quiver of type A, and Richardson elements in seaweed Lie algebras. (deposited 31 Oct 2011 09:50)[Currently Displayed]

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