Armand Borel

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Armand Borel ( 1923 – 2003 )

The Swiss mathematician Armand Borel died August 11, 2003, in Princeton from a rapidly evolving cancer. Few foreign mathematicians had as many connections with France. He was a student of Leray, he took part in the Cartan seminar, and he published more than twenty papers in collaboration with our colleagues Lichnerowicz and Tits, as well as with me. He was a member of Bourbaki for more than twe...

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Armand Borel (1923–2003), Volume 51, Number 5

The Swiss mathematician Armand Borel died August 11, 2003, in Princeton from a rapidly evolving cancer. Few foreign mathematicians had as many connections with France. He was a student of Leray, he took part in the Cartan seminar, and he published more than twenty papers in collaboration with our colleagues Lichnerowicz and Tits, as well as with me. He was a member of Bourbaki for more than twe...

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Arithmetic Subgroups of Algebraic Groups by Armand Borel and Harish-chandra

A complex algebraic group G is in this note a subgroup of GL(n, C), the elements of which are all invertible matrices whose coefficients annihilate some set of polynomials {PM[Xn, • • • , X n n ]} in n 2 indeterminates. I t is said to be defined over a field KQC if the polynomials can be chosen so as to have coefficients in K. Given a subring B of C, we denote by GB the subgroup of elements of ...

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To the memory of Armand Borel GENERALIZED HARISH-CHANDRA MODULES WITH GENERIC MINIMAL k-TYPE

We make a first step towards a classification of simple generalized HarishChandra modules which are not Harish-Chandra modules or weight modules of finite type. For an arbitrary algebraic reductive pair of complex Lie algebras (g, k), we construct, via cohomological induction, the fundamental series F ·(p, E) of generalized Harish-Chandra modules. We then use F ·(p, E) to characterize any simpl...

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Armand Leroi

widespread decisions, such as how a group of primates decide where to travel after a rest period or how a flock of birds decides when to leave a foraging patch. “Unless all members decide on the same action, some will be left behind and will forfeit, at least temporarily, the advantages of group living,” they write. “Thus, in order to maintain group cohesion, social animals — like humans — have...

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ژورنال

عنوان ژورنال: Asian Journal of Mathematics

سال: 2004

ISSN: 1093-6106,1945-0036

DOI: 10.4310/ajm.2004.v8.n4.a13