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Original Articles

Volichenko Algebras as Algebras of Differential Operators

Pages 34-49 | Received 07 Feb 2005, Accepted 08 Jun 2005, Published online: 21 Jan 2013

References

  • Baranov , A A . 1995 . Volichenko Algebras and nonhomogeneous subalgebras of Lie superalgebras . Siberian mathematical Journal , 36 : 859 – 868 . (Eng. trans.), Sibirskii Mat. Z. 36 (1995), 998–1009
  • Deligne , P , Etingof , P , Freed , D , Jeffrey , L , Kazhdan , D , Morgan , J , David , R , Morrison , D and Witten , E . 1999 . Quantum fields and strings: a course for mathematicians , Vol. 1, 2 , Providence : Amererican Mathematical Society .
  • Duplij , S , Bagger , J and Siegel , W . 2003 . Concise Encyclopedia of Supersymmetry and Noncommutative Structures in Mathematics and Physics , Dordreht : Kluwer .
  • Iyer , U N . 2002 . Differential Operators on Hopf algebras and some functorial properties . Manuscripta math. , 109 : 121 – 129 .
  • Iyer , U N and McCune , T C . 2002 . Quantum differential operators on k[x] . International Journal of Mathematics , 13 : 395 – 413 .
  • Kac , V G . 1997 . Lie Superalgebras . Advances in Math. , 26 : 8 – 96 .
  • Leites , D . 1974 . Spectra of graded-commutative rings . Uspehi Matem. Nauk , 29 : 157 – 158 . (in Russian)
  • Leites , D and Serganova , V . 2001 . Symmetries wider than supersymmetry, in Noncommutative structures in Mathematics and Physics Edited by: Duplij , S and Wess , J . 13 – 30 .
  • Lunts , V A and Rosenberg , A L . 1997 . Differential operators on noncommutative rings . Selecta Math.(N.S) , 3 : 335 – 359 .
  • Manin , Yu I . 1997 . Gauge field theory and complex geometry , Second , Berlin : Springer-Verlag .

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