Mathematical notes of the Academy of Sciences of the USSR

, Volume 16, Issue 6, pp 1159-1162

First online:

Structure of the closure of orbits in spaces of finite-dimensional linear SL(2) representations

  • V. L. PopovAffiliated withMoscow Institute of Electronic Machine Design

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The orbital decomposition of the closure of an arbitrary orbit in the space of a finite-dimensional linear representation of the group SL(2) is described in terms of certain integervalued invariants. The basic field is algebraically closed and has zero characteristic.