The K -groups of λ -rings. Part I. Construction of the logarithmic invariant

F. J.-B. J. Clauwens

Compositio Mathematica (1987)

  • Volume: 61, Issue: 3, page 295-328
  • ISSN: 0010-437X

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Clauwens, F. J.-B. J.. "The $K$-groups of $\lambda $-rings. Part I. Construction of the logarithmic invariant." Compositio Mathematica 61.3 (1987): 295-328. <http://eudml.org/doc/89826>.

@article{Clauwens1987,
author = {Clauwens, F. J.-B. J.},
journal = {Compositio Mathematica},
keywords = {algebraic K-theory; Kähler differentials; -rings},
language = {eng},
number = {3},
pages = {295-328},
publisher = {Martinus Nijhoff Publishers},
title = {The $K$-groups of $\lambda $-rings. Part I. Construction of the logarithmic invariant},
url = {http://eudml.org/doc/89826},
volume = {61},
year = {1987},
}

TY - JOUR
AU - Clauwens, F. J.-B. J.
TI - The $K$-groups of $\lambda $-rings. Part I. Construction of the logarithmic invariant
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 61
IS - 3
SP - 295
EP - 328
LA - eng
KW - algebraic K-theory; Kähler differentials; -rings
UR - http://eudml.org/doc/89826
ER -

References

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  2. Bass, H. and Murphy, M.P.: Grothendieck groups and Picard groups of abelian group rings. Ann. of Math.86 (1967) 16-73. Zbl0157.08202MR219592
  3. Bloch, S.: On the tangent space to Quillen K-theory. In: Algebraic K-Theory I. Lecture Notes 341. Springer (1972) 205-210. Zbl0287.18016MR466264
  4. Bloch, S.: K2 of Artinian Q-algebras with application to algebraic cycles. Comm. in Alg. 3 (1975) 405-428. Zbl0327.14002MR371891
  5. Clauwens, F.: The K2 of truncated integral polynomial rings. Dept. of Math. Catholic University Nijmegen, report 8416. 
  6. Grothendieck, A.: La theorie des classes de Chern. Bull. Soc. Math.86 (1958) 137-154. Zbl0091.33201MR116023
  7. Van der Kallen, W.: Le K2 des nombres duaux. C.R. Acad. Sci. Paris273 (1971) 1204-1207. Zbl0225.13006
  8. Van der Kallen, W. and Stienstra, J.: The relative K2 of truncated polynomial rings. J. Pure and Appl. Alg.34 (1984) 277-289. Zbl0548.13008MR772063
  9. Kassel, C. and Loday, J.-L.: Extensions centrales d'algebres de Lie. Ann. Inst. Fourier32 (1982) 119-142. Zbl0485.17006MR694130
  10. Keune, F.: The relativization of K2. J. of Alg.54 (1978) 159-177. Zbl0403.18009MR511460
  11. Knutson, D.: λ-rings and the representation theory of the symmetric group. Lecture Notes 308. Springer Verlag, New York, (1973). Zbl0272.20008
  12. Labute, J. and Russell, P.: On K2 of truncated polynomial rings. J. of Pure and Appl. Alg.6 (1975) 239-251. Zbl0442.13014MR396595
  13. Loday, J.-L.: Symboles en K-theorie superieure. C.R. Acad. Sci. Paris292 (1981) 863-866. Zbl0493.18006MR623517
  14. Loday, J.-L. and Quillen, D.: Cyclic homology and the Lie algebra homology of matrices. Comm. Math. Helv.59 (1984) 565-591. Zbl0565.17006MR780077
  15. Maazen, H. and Stienstra, J.: A presentation for K2 of split radical pairs. J. of Pure and Appl. Alg.10 (1977) 271-294. Zbl0393.18013MR472795
  16. Metropolis, N. and Rota, G.C.: Witt vectors and the algebra of necklaces. Adv. in Math.50 (1983) 95-125. Zbl0545.05009MR723197
  17. Oliver, R.: K2 of p-adic group rings of abelian p-groups. Matematisk Institut, Aarhus Universitet, preprint 1984/85 no 12. MR900344
  18. Roberts, L. and Geller, S.: K2 of some truncated polynomial rings. In: Ring theory, Waterloo 1978. Lecture Notes in Math. 734. Springer Verlag (1978) 249-279. Zbl0415.13003MR548133
  19. Stienstra, J.: On K2 and K3 of Truncated Polynomial Rings. In: Algebraic K-theory, Evanston 1980. Lecture Notes in Math. 854. Springer Verlag (1980) 409-455. Zbl0463.13007MR618315
  20. Wilkerson, C.: λ-rings, binomial domains, and vector bundles over CP(∞). Comm. in Alg.10 (1982) 311-328. Zbl0492.55004

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