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Skew enveloping algebras and Poisson enveloping algebras

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Abstract

The universal mapping property and the Gelfand-Kirillov dimension of a skew enveloping algebra are studied and it is proved that every Poisson enveloping algebra is a homomorphic image of a skew enveloping algebra.

참고문헌 (7)

  1. "A guide to quantum groups" (1994), V. Chari and A. Pressley Cambridge University Press
  2. "Quantum groups, Grad.", 155 (1995), Springer-Verlag
  3. "Algebras of functionson quantum groups", 56 (1998)
  4. "Introduction to the quantumYang-Baxter equation and quantum groups" (1997), Kluwer Academic Publishers
  5. "A Wiley-interscience series of texts", mo(ncommutative etherianrings graphs tracts) (1987)
  6. "Poisson enveloping algebras", pp.2181~ (1999)
  7. "\it APoincar\'e-Birkhoff-Witt theorem for Poisson enveloping algebras", 30, pp.4867~ (2002)

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