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Linear maps preserving invariants |
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| Authors: | Gerald W. Schwarz |
| Affiliation: | Department of Mathematics, Brandeis University, Waltham, Massachusetts 02454-9110 |
| Abstract: | Let  be a complex reductive group. Let  denote  for all ![$ pinmathbb{C}[V]^G}$](http://www.ams.org/proc/2008-136-12/S0002-9939-08-09628-7/gif-abstract0/img4.gif){kind=small} . We show that, ``in general',  . In case  is the adjoint group of a simple Lie algebra  , we show that  is an order 2 extension of  . We also calculate  for all representations of  . |
| Keywords: | Invariant polynomials |
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