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On the orbit space of an irreducible representation of the special unitary group


Author: O. G. Styrt
Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva, tom 74 (2013), vypusk 1.
Journal: Trans. Moscow Math. Soc. 2013, 145-164
MSC (2010): Primary 22E46; Secondary 17B10, 17B20, 17B45
DOI: https://doi.org/10.1090/S0077-1554-2014-00222-3
Published electronically: April 9, 2014
MathSciNet review: 3235792
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Abstract: We prove that the quotient of an irreducible representation of a special unitary group of rank greater than $ 1$ cannot be a smooth manifold.


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Additional Information

O. G. Styrt
Affiliation: Department of Mechanics and Mathematics, Moscow State University, Moscow
Email: oleg{\textunderscore}styrt@mail.ru

DOI: https://doi.org/10.1090/S0077-1554-2014-00222-3
Keywords: Lie group, topological action quotient
Published electronically: April 9, 2014
Article copyright: © Copyright 2014 American Mathematical Society