منابع مشابه
On Relative Grothendieck Rings
Let K be a field of characteristic pi^O, to exclude trivial cases) and let G be a finite goup. A XG-module M is a finite dimensional K-vector space, on which G acts Jf-linearly from the left. The Green ring a(G) of G(w.r.t. K) is the free abelian group, spanned by the isomorphism classes of indecomposable i£G-modules, with the multiplication induced from the tensor product © x of KGmodules (see...
متن کاملIntegral Grothendieck-riemann-roch Theorem
in the Chow ring with rational coefficients CH(S)Q = ⊕nCH (S)Q. Here ch is the Chern character and Td(TX), Td(TS) stand for the Todd power series evaluated at the Chern classes of the tangent bundle of X, respectively S. Since both sides of (1.1) take values in CH(S)Q := CH (S)⊗Q, only information modulo torsion about the Chern classes of f∗[F ] can be obtained from this identity. The goal of o...
متن کاملPicard Groups, Grothendieck Rings, and Burnside Rings of Categories
We discuss the Picard group, the Grothendieck ring, and the Burnside ring of a symmetric monoidal category, and we consider examples from algebra, homological algebra, topology, and algebraic geometry. In October, 1999, a small conference was held at the University of Chicago in honor of Saunders Mac Lane’s 90th birthday. I gave a talk there based on a paper that I happened to have started writ...
متن کاملSchemic Grothendieck Rings I: Motivic Sites
We propose a suitable substitute for the classical Grothendieck ring of an algebraically closed field, in which any quasi-projective scheme is represented with its non-reduced structure. This yields a more subtle invariant, called the schemic Grothendieck ring. In order to include open subschemes and their complements, we introduce formal motives. Although originally cast in terms of definabili...
متن کاملGrothendieck Rings of Basic Classical Lie Superalgebras
The Grothendieck rings of finite dimensional representations of the basic classical Lie superalgebras are explicitly described in terms of the corresponding generalised root systems. We show that they can be interpreted as the subrings in the weight group rings invariant under the action of certain groupoids, which we call Weyl groupoids.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1972
ISSN: 0021-8693
DOI: 10.1016/0021-8693(72)90162-7