Quantum Commutativity and Central Invariants

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

1 Scopus citations


Let us start by considering the following: Graded commutative superalgebras. That is, A = A 0 ⊕A1, a Z 2-graded algebra over a field k (of characteristic ≠ 2) where ab = (-1)|a||b| ba, for all homogeneous elements a, b. The Quantum plane Cq [X, Y], That is C [X, y] where xy = q -1 yx. The Quantum superplane (or q-Grassman algebra) Cq [ξ, η]. That is C[ξ, η] with, ξ2 = η2 = 0, ξη = -qηξ.

Original languageEnglish
Title of host publicationAdvances in Hopf Algebras
PublisherCRC Press
Number of pages14
ISBN (Electronic)9781000944945
ISBN (Print)9781138401808
StatePublished - 1 Jan 2023

ASJC Scopus subject areas

  • Mathematics (all)


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