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Группы Ли и теория инвариантов
2 апреля 2014 г. 16:45, г. Москва, ГЗ МГУ, ауд. 13-06
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Extensions of Mikhailova's theorem and its converse
Ch. Lange |
Фотогалерея
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Аннотация:
Due to a theorem of Mikhailova the quotient space of a real vector space $V$ by a pseudoreflection group, i. e. a finite group generated by linear transformations with codimension two fixed point subspace is homeomorphic to $V$. We explain why the converse is not true in the topological category, give a complete classification of groups satisfying this property and discuss the same question in other categories.
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