2 9 Ja n 20 04 ALGEBRAS OF OPERATIONS IN K - THEORY
نویسنده
چکیده
We describe explicitly the algebras of degree zero operations in connective and periodic p-local complex K-theory. Operations are written uniquely in terms of certain infinite linear combinations of Adams operations, and we give formulas for the product and coproduct structure maps. It is shown that these rings of operations are not Noetherian. Versions of the results are provided for the Adams summand and for real K-theory.
منابع مشابه
ar X iv : m at h / 04 01 23 7 v 1 [ m at h . C O ] 1 9 Ja n 20 04 1 Enumerative properties of generalized associahedra
Some enumerative aspects of the fans, called generalized associahedra, introduced by S. Fomin and A. Zelevinsky in their theory of cluster algebras are considered, in relation with a bicomplex and its two spectral sequences. A precise enumerative relation with the lattices of generalized noncrossing partitions is conjectured and some evidence is given.
متن کامل2 7 Ja n 20 04 Representations of trigonometric Cherednik algebras of rank 1 in positive characteristic Frédéric Latour
متن کامل
/ 02 01 23 9 v 1 2 9 Ja n 20 02 Boundary conditions in charge conjugate sl ( N ) WZW theories
We compute the representations (" nim-reps ") of the fusion algebra of sl(N) which determine the boundary conditions of sl(N) WZW theories twisted by the charge conjugation. This is done following two procedures, one of general validity, the other specific to the problem at hand. The problem is related to the classical problem of decomposition of the fundamental representations of sl(N) onto re...
متن کامل0 v 1 1 2 Ja n 20 04 Closed relativistic string carrying pointlike mass
For the closed relativistic string carrying a pointlike mass the exact solutions of the dynamical equations are obtained and studied. These solutions describe states of the mentioned system moving in Minkowski space and also in the space that is the direct product of Minkowski space and a compact manifold (torus). We consider the closed relativistic string with one massive point (homeomorphic t...
متن کامل