Local Structure of Algebraic Monoids
نویسندگان
چکیده
منابع مشابه
Local Structure of Algebraic Monoids
We describe the local structure of an irreducible algebraic monoid M at an idempotent element e. When e is minimal, we show that M is an induced variety over the kernel MeM (a homogeneous space) with fibre the two-sided stabilizer Me (a connected affine monoid having a zero element and a dense unit group). This yields the irreducibility of stabilizers and centralizers of idempotents when M is n...
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Let A' be a semisimple algebraic monoid with unit group G. Associated with E is its polyhedral root system (X, 0, C), where X = X(T) is the character group of the maximal torus T c G, $ c X(T) is the set of roots, and C = X(T) is the character monoid of T c E (Zariski closure). The correspondence £-»(A\ O, C) is a complete and discriminating invariant of the semisimple monoid £, extending the w...
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ژورنال
عنوان ژورنال: Moscow Mathematical Journal
سال: 2008
ISSN: 1609-3321,1609-4514
DOI: 10.17323/1609-4514-2008-8-4-647-666