Hopf-algebras and a Counterexample To a Conjecture of Anick

Félix, Yves;Halperin, S.;Thomas, JC.
(1994) Journal of Algebra — Vol. 169, n° 1, p. 176-193 (1994)

Files

pdfdocument.pdf
  • Restricted Access
  • Adobe PDF
  • 668.27 KB
Request a copy

Details

Authors
  • Félix, YvesUCLouvain
    Author
  • Halperin, S.
    Author
  • Thomas, JC.
    Author
Abstract
Let A be a graded algebra of finite type over a field K. Anick has conjectured that if A has finite global dimension then A is linearly isomorphic to a graded polynomial algebra. When the ground field has odd characteristic we give a counterexample which is a cocommutative graded Hopf algebra. We also show that in this context the conjecture is true in characteristic zero or two and is almost true in odd characteristic. We propose a companion conjecture for Ext A(K, K) and prove it when A = UL, some graded Lie algebra L. (C) 1994 Academic Press, Inc.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Félix, Y., Halperin, S., & Thomas, JC. (1994). Hopf-algebras and a Counterexample To a Conjecture of Anick. Journal of Algebra, 169(1), 176-193. https://doi.org/10.1006/jabr.1994.1277 (Original work published 1994)