28
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

AN ANALOGUE OF KEGEL'S THEOREM FOR QUASI-ASSOCIATIVE ALGEBRAS

Pages 2607-2623 | Published online: 31 Jan 2013

REFERENCES

  • Bahturin , Y. and Giambruno , A. 1994 . Identities of sum of commutative subalgebras . rendiconti Circolo del Mathematico di Palermo Ser. 2 , 43 : 250 – 258 .
  • Bahturin , Y. and Kegel , O. H. 1995 . Universal sums of abelian subalgebras . Comm. Alg. , 23 : 2975 – 2990 .
  • Bahturin , Y. , Fischman , D. and Montgomery , S. 1996 . On the generalized Lie structure of associative algebras . Israel J. of Math. , 96 : 27 – 48 .
  • Berele , A. and Regev , A. 1987 . Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras . Adv. Math. , 64 : 118 – 175 .
  • Bulacu , D. and Nauwelaerts , E. 2002 . Radford's biproduct for quasi-Hopf algebras and bosonization . J. of Pure and Appl. Alg. , 174 ( 1 ) : 1 – 42 .
  • Cohen , M. , Fischman , D. and Westreich , S. 1994 . Schur's double centralizer theorem for triangular Hopf algebras . Proc. Amer. Math. Soc. , 122 : 19 – 29 .
  • Drinfel'd , V. G. 1990 . Quasi-Hopf algebras . Leningrad Math. J. , 1 : 1419 – 1457 .
  • Fischman , D. and Montgomery , S. 1994 . A Schur's double centralizer theorem for cotriangular Hopf algebras and generalized Lie algebras . J. Alg. , 168 : 594 – 614 .
  • Gurevich , D. I. 1983 . Generalized translation operators on Lie groups . Soviet Journal of Contemporary Mathematical Analysis , 18 : 57 – 70 .
  • Hausser , F. and Nill , F. 1999a . Diagonal crossed products by duals of quasi-quantum groups . Rev. Math. Phys. , 11 ( 5 ) : 553 – 629 .
  • Hausser , F. and Nill , F. 1999b . Doubles of quantum groups . Comm. Math. Phys. , 199 : 547 – 589 .
  • Joyal , A. and Street , R. 1993 . Braided tensor categories . Adv. in Math. , 102 : 20 – 78 .
  • Kegel , O. H. 1963 . Zur Nilpotenz gewisser assoziative ringe . Mathematische Annalen. , 149 : 258 – 260 .
  • Maclane , S. 1971 . Categories for the Working Mathematician. Vol. 5 , New York : Springer. . GTM.
  • Majid , S. 1994 . Quantum and braided Lie algebra . J. Geom. Phys. , 13 : 307 – 356 .
  • Majid , S. 1998 . Quasi-double for quasi-Hopf algebras . Lett. Math. Phys. , 45 ( l ) : l – 9 .
  • Majid , S. 2000 . Braided-Lie bialgebras . Pacific J. of Math. , 192 ( 2 ) : 329 – 357 .
  • Manin , Y. 1988 . Quantum Groups and Non-commutative Geometry. . Univ. de Montreal, Publ. CRM. ,
  • Montgomery , S. 1993 . Hopf Algebras and Their Actions on Rings. Providence , RI : AMS. . CBMS Lectures in Math. 82
  • Wang , S. H. 2000 . Central invariants of p-Lie algebras in Yetter-Drinfeld categories . Sci. China Ser. A , 43 ( 8 ) : 803 – 809 .
  • Wang , S. H. 2002 . On H-Lie structure of associative algebras in Yetter-Drinfel'd categories . Comm. Alg. , 30 ( 1 ) : 307 – 325 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.