The Chromatic Ext Groups $\Ext _{\Gamma (m+1)}^{0}(BP_{*},M_2^{1})$
نویسندگان
چکیده
منابع مشابه
Ext Groups and Ext Functors
If A and B are Abelian groups, then Hom(A,B) is also an Abelian group under pointwise addition of functions. In this section we will see how Hom gives rise to classes of functors. Let A denote the category of Abelian groups. A covariant functor T : A → A associates to every Abelian group A an Abelian group T (A), and for every homomorphism f : A → B a homomorphism T (f) : T (A)→ T (B), such tha...
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Sheldon Katz, Tony Pantev, and Eric Sharpe 1 Department of Mathematics 1409 W. Green St., MC-382 University of Illinois Urbana, IL 61801 2 Department of Physics University of Illinois at Urbana-Champaign Urbana, IL 61801 3 Department of Mathematics University of Pennsylvania David Rittenhouse Lab. 209 South 33rd Street Philadelphia, PA 19104-6395 katz@math.uiuc.edu, tpantev@math.upenn.edu, ersh...
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We compute all the groups G⊗H, Tor(G, H), Hom(G, H), and Ext(G, H), where G and H can be any of the groups Z (the integers), Z/n = Z/nZ (the integers mod n), or Q (the rationals). All but one are reasonably accessible. Because all these functors are biadditive, these cases suffice to handle any finitely generated groups G and H. The emphasis here is on computation, not on the abstract definitio...
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Take G to be a split, simply-connected semisimple algebraic group (for example, SL(w, K) or Sp(2m, K)) over an algebraic closure K of the field of p elements, where p is prime. Denote by G(n) the finite subgroup consisting of elements of G defined over the field of p elements. The simple (rational) G-modules L(X) are parametrized by the set X of dominant weights, a subset of the character group...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2002
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-02-02991-4