most citedJordan blocks of Richardson classes in the classical groups and the Bala--Carter Theorem

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math.GR2003

A Classification of Certain Finite Double Coset Collections in the Classical Groups

W. Ethan Duckworth

Let be a classical algebraic group, a maximal rank reductive subgroup and a parabolic subgroup. This paper classifies when $X\G/P$ is finite. Finiteness is proven using…

math.GR2003★ 1 cited

Jordan blocks of Richardson classes in the classical groups and the Bala--Carter Theorem

W. Ethan Duckworth

This paper provides new, relatively simple proofs of some important results about unipotent classes in simple linear algebraic groups. We derive the formula for the Jordan blocks o…

math.GR2003

Infiniteness of Double Coset Collections in Algebraic Groups

W. Ethan Duckworth

Let be a linear algebraic group defined over an algebraically closed field. The double coset question addressed in this paper is the following: Given closed subgroups and $…